Thesis. 1976. M.S.--Massachusetts Institute of Technology. Dept. of Mathematics. / Microfiche copy available in Archives and Science. / Bibliography: leaves 53-54. / M.S.

Chan Siu Wai = 利用二次諧波比較應用在非線性光學聚合材料上不同的極化技術 / 陳兆偉. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (leaves 105-106). / Text in English; abstracts in English and Chinese. / Chan Siu Wai = Li yong er ci xie bo bi jiao ying yong zai fei xian xing guang xue ju he cai liao shang bu tong de ji hua ji shu / Chen Zhaowei. / Anknowledgements --- p.ii / Abstract --- p.iii / Chinese Abstract --- p.iv / List of figures --- p.v / Contents --- p.ix / Chapter Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Formulation of nonlinear optics --- p.2 / Chapter 1.2 --- Relationship between microscopic and macroscopic nonlinear susceptibility for a poled polymer --- p.4 / Chapter 1.3 --- Generation of electromagnetic radiation by nonlinear polarization --- p.7 / Figure --- p.9 / Chapter Chapter 2 --- Poling of NLO polymer --- p.10 / Chapter 2.1 --- Doped NLO polymeric system --- p.10 / Chapter 2.2 --- Poling techniques --- p.13 / Chapter 2.2.1 --- Thermal´ؤassisted poling (TAP) --- p.14 / Chapter 2.2.2 --- Photoassisted poling (PAP) --- p.16 / Chapter 2.2.3 --- All-optical poling (AOP) --- p.20 / Chapter 2.3 --- Relaxation studies of poled NLO polymers --- p.22 / Figures --- p.26 / Chapter Chapter 3 --- Experimental methods --- p.32 / Chapter 3.1 --- Laser system --- p.32 / Chapter 3.2 --- Detection system --- p.33 / Chapter 3.3 --- Reference arm --- p.33 / Chapter 3.4 --- Experimental setup --- p.34 / Chapter 3.5 --- Samples preparation --- p.35 / Figures --- p.37 / Chapter Chapter 4 --- Growth and decay of optical nonlinearity In poled polymer --- p.42 / Chapter 4.1 --- Reliability and validity of the data acquisition procedures --- p.42 / Chapter 4.1.1 --- Temperature calibration and the voltage supply --- p.42 / Chapter 4.1.2 --- Possibilities of damage or degradation of the samples during the experiment --- p.43 / Chapter 4.1.3 --- Effect of probing beam intensity and the duration on the growth and decay of x(2) in A〇P --- p.44 / Chapter 4.2 --- Basic features of the different poling techniques --- p.45 / Chapter 4.2.1 --- Below Tg electric poling (EP) in the glassy state --- p.45 / Chapter 4.2.2 --- Thermal assisted poling (TAP) --- p.47 / Chapter 4.2.3 --- Photoassisted poling (PAP) in the glassy state --- p.49 / Chapter 4.2.3.1 --- Effects of polarization of the pumping light on photoinduced poling --- p.50 / Chapter 4.2.3.2 --- Comparison of photoassisted poling at 50°C and 75°C --- p.51 / Chapter 4.2.3.3 --- Can photoassisted poling work on DANS/PMMA sample? --- p.52 / Chapter 4.2.4 --- All-optical poling (AOP) in the glassy state --- p.53 / Chapter 4.3 --- Comparison of the relaxation of X(2) poled by the four poling techniques --- p.54 / Chapter 4.3.1 --- Methods in defining the relaxation curves --- p.54 / Chapter 4.3.2 --- "X(2) relaxation of DR-1/PMMA sample poled by EP, TAP, PAP and AOP" --- p.55 / Chapter 4.3.3 --- Comparison of the fitting of the relaxation data by different models --- p.57 / Figures --- p.59 / Chapter Chapter 5 --- Physical aging and its effect on the Poling stability --- p.73 / Chapter 5.1 --- Aging effect of samples poled by EP --- p.73 / Chapter 5.2 --- Aging effect of samples poled by TAP --- p.74 / Chapter 5.3 --- Aging effect of samples poled by PAP --- p.75 / Figures --- p.78 / Chapter Chapter 6 --- Results and discussions on other Observations --- p.86 / Chapter 6.1 --- Poling with TAP and PAP successively --- p.86 / Chapter 6.2 --- Secondary poling of EP/TAP processed NLO polymer --- p.88 / Chapter 6.3 --- Effect of a pumping green light on NLO polymer (DR-1/PMMA) in the glassy state --- p.90 / Chapter 6.4 --- Depoling effect by a pumping green light --- p.91 / Figures --- p.93 / Chapter Chapter 7 --- Conclusions --- p.102 / References --- p.105

by Chan Sung-Chun = 具有二階非線性光學性質的主體-客體多聚物系統中的載色體的動力學研究 / 陳崇真. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 107-109). / Text in English; abstracts in English and Chinese. / by Chan Sung-chun = Ju you er jie fei xian xing guang xue xing zhi de zhu ti--ke ti duo ju wu xi tong zhong de zai se ti de dong li xue yan jiu / Chen Chongzhen / Acknowledgements --- p.ii / Abstract --- p.iii / Chinese Abstract --- p.iv / Table of Contents --- p.v / List of Figures --- p.viii / Chapter Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Interaction of light with a medium --- p.2 / Chapter 1.2 --- Tensor properties and Inversion symmetry --- p.3 / Chapter 1.3 --- Relationship between microscopic and macroscopic nonlinear susceptibility for a poled polymer --- p.5 / Chapter 1.4 --- Second Harmonic Generation by nonlinear polarization --- p.9 / Chapter 1.5 --- Outline of this thesis --- p.11 / Figures --- p.13 / Chapter Chapter 2 --- Poling and relaxation of Nonlinear Optical Polymeric systems --- p.14 / Chapter 2.1 --- Guest-Host nonlinear optical polymeric systems --- p.14 / Chapter 2.2 --- Poling of NLOP systems --- p.16 / Chapter 2.2.1 --- Thermal-assisted Electric Poling --- p.17 / Chapter 2.2.2 --- Photo-assisted Electric Poling --- p.19 / Chapter 2.2.3 --- All-Optical Poling --- p.22 / Chapter 2.3 --- Relaxation study of NLOP systems --- p.24 / Figures --- p.29 / Chapter Chapter 3 --- Experimental Method --- p.32 / Chapter 3.1 --- Sample Preparation --- p.32 / Chapter 3.2 --- Poling and Thermal history of samples --- p.35 / Chapter 3.3 --- Experimental Setup --- p.37 / Chapter 3.3.1 --- Laser system --- p.37 / Chapter 3.3.2 --- Data acquisition system --- p.37 / Chapter 3.3.3 --- Reference arm --- p.38 / Chapter 3.3.4 --- Optical Path --- p.39 / Figures --- p.43 / Chapter Chapter 4 --- Poling and relaxation studies of second order optical nonlinearity in a guest-host system --- p.50 / Chapter 4.1 --- Reliability and Reproducibility of the experimental result --- p.50 / Chapter 4.1.1 --- Temperature control --- p.50 / Chapter 4.1.2 --- Poling voltage --- p.51 / Chapter 4.1.3 --- Degradation of the sample --- p.52 / Chapter 4.1.4 --- Possible light induced decay by the probing laser beam --- p.53 / Chapter 4.2 --- Poling and relaxation in the Guest-Host system of DR-1/PMMA --- p.54 / Chapter 4.2.1 --- Poling in DR-l/PMMA --- p.54 / Chapter 4.2.2 --- Relaxation of polar orderin DR-l/PMMA --- p.58 / Chapter 4.3 --- Comparison of different relaxation models --- p.60 / Figures --- p.61 / Chapter Chapter 5 --- Investigation of chromophores dynamicsin poled nonlinear optical polymers by secondary poling --- p.69 / Chapter 5.1 --- Methods for studying the mobility of chromophores at sub-Tg temperature --- p.69 / Chapter 5.2 --- Experimental details --- p.71 / Chapter 5.3 --- Experimental results and discussion --- p.72 / Chapter 5.3.1 --- Free relaxation of chromophores --- p.72 / Chapter 5.3.2 --- Forced decay and further poling of chromophores --- p.73 / Chapter 5.4 --- Model for describing the temporal behavior of secondary poling --- p.76 / Chapter 5.4.1 --- Derivation of the model --- p.76 / Chapter 5.4.2 --- Quantitative description of the experimental results --- p.79 / Figures --- p.83 / Chapter Chapter 6 --- Results and observations on Photo-assisted electric poling --- p.89 / Chapter 6.1 --- Re-poling of the sample after PAP --- p.89 / Chapter 6.2 --- Other observations on Photo-assisted electric poling --- p.92 / Figures --- p.96 / Chapter Chapter 7 --- Conclusions --- p.103 / References --- p.107

Chiu Ho Man Edward. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 36-39). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.4 / Chapter 2 --- Some Preliminary Analysis --- p.11 / Chapter 3 --- An Auxiliary Linear problem --- p.16 / Chapter 4 --- Construction of natural constraint --- p.22 / Chapter 5 --- Energy computation for reduced energy functional --- p.26 / Chapter 6 --- Proof of Theorem 1.1 --- p.29 / Bibliography --- p.36

Hu Guoqiang. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 87-93). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.ii / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Nonlinear Control Systems --- p.2 / Chapter 1.2 --- Output Regulation --- p.5 / Chapter 1.3 --- Semiglobal Stabilization --- p.7 / Chapter 1.4 --- A Benchmark Nonlinear Control Problem --- p.8 / Chapter 1.5 --- Contribution of this Thesis --- p.10 / Chapter 2 --- Semiglobal Robust Output Regulation of a Class of Nonlinear Systems via Output Feedback Control --- p.12 / Chapter 2.1 --- Introduction --- p.13 / Chapter 2.2 --- Semiglobal Backstepping Technique --- p.16 / Chapter 2.3 --- Output Regulation Converted to Stabilization --- p.18 / Chapter 2.4 --- Solvability of the Semiglobal Robust Stabilization Problem via Partial State Feedback --- p.23 / Chapter 2.5 --- Design of the Output Feedback Regulator --- p.35 / Chapter 2.6 --- An example --- p.39 / Chapter 2.7 --- Concluding Remarks --- p.46 / Chapter 3 --- Disturbance Rejection of the RTAC system --- p.50 / Chapter 3.1 --- Disturbance Rejection Problem Formulated into Output Regulation Problem --- p.51 / Chapter 3.2 --- Solvability of the Output Regulation Problem via Measurement Output Feedback Control --- p.53 / Chapter 3.3 --- Parameters Design and Simulation Results --- p.57 / Chapter 3.4 --- Concluding Remarks --- p.58 / Chapter 4 --- Robust Disturbance Rejection of the RTAC System --- p.63 / Chapter 4.1 --- Introduction --- p.63 / Chapter 4.2 --- A General Framework for Robust Output Regulation --- p.64 / Chapter 4.3 --- Robust Asymptotic Disturbance Rejection of the RTAC System --- p.69 / Chapter 4.4 --- Algorithms to Design and Optimize the Parameters Kx and L --- p.73 / Chapter 4.5 --- Parameters design and Simulation Results --- p.75 / Chapter 4.6 --- Concluding Remarks --- p.76 / Chapter 5 --- Conclusions --- p.86 / Biography --- p.87 / Bibliography --- p.88 / Appendix A. ITAE Prototype Design --- p.94

在过去的十年间，多智能体系统的协作控制问题引起了广泛的关注。为了解决趋同、编队、蜂拥、群聚等多智能体的协作控制问题，许多研究者提出了各种各样的集中式和分布式控制器。但是这些结果大多是针对线性的多智能体系统的，本论文将利用一些非线性技术去研究线性和非线性的多智能体系统的协作控制问题。 / 1. 有领导者的保持连接的群聚问题: 这类问题的研究主要是针对单点积分器和二重积分器的多智能体系统。为了保持网络的原始链接，我们引入了有界的势能函数，基于这样的势能函数，我们提出了非线性的控制器，所以尽管这样的多智能体系统本身是线性的，但闭环系统是非性的。因此我们利用李雅普诺夫定理来分析闭环系统的性能,并进行了大量的仿真实验来衡量我们的控制器的有效性。具体的结果列如下: / 我们首先研究的系统是带领导的单点积分器的多智能体系统，其中领导是由线性自治系统生成。现有的结果只能处理领导者信号是恒定的或者是斜波信号。而我们提出了一个分布式的状态反馈的控制器，不管领导者的信号是阶跃，斜波还是正弦信号，我们提出的这一控制器都能保持整个系统的原始连接，并且同时能实现各个子系统对领导者的渐近跟踪。 / 我们并进一步研究了二重积分器的多智能体系统，而且这样的系统受到外部信号的干扰。领导者的信号和干扰信号可以是阶跃信号，斜波信号以及具有任意振幅和初始相位的正弦信号的组合。受到一些输出调节理论的启发，我们同时提出了分布式的全状态反馈控制器和带有分布式观测器的输出反馈控制器。尽管存在外部干扰信号，这两种控制器都能保持整个系统的初始连接，同时能实现各个子系统对领导者的渐近跟踪的目标。 / 值得注意的是尽管我们研究是多智能体系统的群聚问题，这种技术同时能用来解决其他类似的编队、蜂拥等协作控制问题。 / 2. 非线性多智能体系统的合作输出调节问题: 我们首先明确地提出了什么是非线性多智能体系统的合作输出调节问题。这个问题可以看作是有领导者的趋同问题的一般化。这个非线性多智能体系统包含了一个领导者和各个子系统，其中领导者的信号由一外部线性自治系统产生，而每个子系统是含有不确定参数的非线性系统，并且这些子系统受到外部信号的干扰。首先我们引入分布式的内模，然后通过坐标变换，得到了一个多输入多输出的增广系统，之后我们把非线性多智能体系统的合作输出调节问题转化成了这个增广系统的全局镇定问题，最后一系列标准的假设下，我们提出了一分布式输出反馈控制器解决了镇定问题，从而解决了输出调节问题。具体来说，假设通信图是连接的，如果我们能解决每个子系统的输出调节问题，那我们提出的分布式输出反馈调节器就能解决这个多智能体系统的合作输出调节问题。我们也把提出的这一控制器应用于洛伦兹多智能体系统的合作输出调节问题。 / Over the past decade, the coordinated control problems for multi-agent systems have attracted extensive attention. Both centralized and distributed control protocols have been developed to study such multi-agent coordinated control problems as consensus, formation, swarming, flocking, rendezvous and so on. However, most papers employ standard linear control techniques. The results are mainly limited to linear multi-agent systems. In this thesis, we will study some coordinated control problems of both linear and nonlinear multi-agent systems by some advanced nonlinear techniques. / This thesis has mainly studied two problems. / i) The leader-following rendezvous with connectivity preservation. We have studied this problem for both single integrator and double integrator multi-agent systems by nonlinear control laws utilizing bounded potential function. Although the model of multi-agent system is linear, the closed-loop system is nonlinear due to the employment of nonlinear control laws. We have developed a Lyapunov-based method to analyze the performance of the closed-loop system, and conducted extensive simulations to evaluate the effectiveness of our control schemes. The specific results are summarized as follows. / We have studied the case where the leader system is a linear autonomous system and the follower system is a multiple single-integrator system. The existing results can only handle the case where the leader signal is a constant signal or ramp signal and the control law is discontinuous. By introducing an exosystem, we have proposed a distributed state feedback smooth control law. For a class of reference signals such as step, ramp, and sinusoidal signals, our control law is able to maintain the connectivity of the system and, at the same time, achieve asymptotic tracking of all followers to the output of the leader system. / We have also studied a leader-following rendezvous problem for a double integrator multi-agent system subject to external disturbances. Both the leader signal and disturbance signal can be a combination of step signal, ramp signal and sinusoidal signal with arbitrary amplitudes and initial phases. Motivated by some techniques in output regulation theory, we have developed both distributed state feedback control protocol and distributed output feedback control protocol which utilizes a distributed observer. Both of our control laws are able to maintain the connectivity of an initially connected communication network, and, at the same time, achieve the objective of the asymptotic tracking of all followers to the leader regardless of external disturbances. / It is noted that even though we have only studied the rendezvous problem, the techniques of this thesis can also be used to handle other similar problems such as formation, flocking, swarming, etc. / ii) Cooperative output regulation problem of nonlinear multi-agent systems. We have formulated the cooperative output regulation problem for nonlinear multi-agent systems. The problem can be viewed as a generalization of the leader-following consensus/ synchronization problem in that the leader signals are a class of signals generated by an exosystem, each follower subsystem can be subject to a class of external disturbances, and individual follower subsystems and the leader system have different dynamics. We first show that the problem can be converted into the global stabilization problem of a class of multi-input, multi-output nonlinear systems called augmented system via a set of distributed internal models. Then we further show that, under a set of standard assumptions, the augmented system can be globally stabilized by a distributed output feedback control law. We have solved the cooperative output regulation problem of uncertain nonlinear multi-agent systems in output feedback form. The main result can be summarized as follows: assuming the communication graph is connected, then the problem can be solved by a distributed output feedback control law if the global robust output regulation problem for each subsystem can be solved by an output feedback control law. We have also applied our approach to solve a leader-following synchronization problem for a group of Lorenz multi-agent systems. / Detailed summary in vernacular field only. / Detailed summary in vernacular field only. / Detailed summary in vernacular field only. / Detailed summary in vernacular field only. / Detailed summary in vernacular field only. / Detailed summary in vernacular field only. / Dong, Yi. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2013. / Includes bibliographical references (leaves 102-111). / Abstract also in Chinese. / Abstract --- p.i / Acknowledgement --- p.v / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Literature Review --- p.1 / Chapter 1.1.1 --- Leader-following rendezvous with connectivity preservation problem --- p.3 / Chapter 1.1.2 --- Cooperative output regulation problem of nonlinear multi-agent systems --- p.4 / Chapter 1.2 --- Thesis Contributions --- p.4 / Chapter 1.3 --- Thesis Organization --- p.6 / Chapter 2 --- Fundamentals --- p.8 / Chapter 2.1 --- Review of Graph Theory Notation --- p.8 / Chapter 2.2 --- Review of Linear Output Regulation --- p.9 / Chapter 2.2.1 --- Regulator equations --- p.10 / Chapter 2.2.2 --- Linear feedback control laws --- p.11 / Chapter 2.2.3 --- Barbalat’s Lemma --- p.12 / Chapter 2.3 --- Review of Nonlinear Output Regulation --- p.12 / Chapter 2.3.1 --- From nonlinear output regulation to stabilization --- p.13 / Chapter 2.3.2 --- Construction of internal model --- p.15 / Chapter 2.3.3 --- Some theories --- p.17 / Chapter 3 --- Leader-following Rendezvous with Connectivity Preservation of Single-integrator Multi-agent Systems --- p.19 / Chapter 3.1 --- Introduction --- p.19 / Chapter 3.2 --- Problem Formulation --- p.20 / Chapter 3.3 --- Solvability of Problem --- p.22 / Chapter 3.4 --- Example --- p.28 / Chapter 3.5 --- Conclusion --- p.28 / Chapter 4 --- A Leader-following Rendezvous Problem of Double Integrator Multiagent Systems --- p.30 / Chapter 4.1 --- Introduction --- p.30 / Chapter 4.2 --- Problem Formulation --- p.32 / Chapter 4.3 --- Main Result --- p.34 / Chapter 4.4 --- Illustrative Examples --- p.41 / Chapter 4.4.1 --- Example 1 --- p.41 / Chapter 4.4.2 --- Example 2 --- p.42 / Chapter 4.5 --- Conclusion --- p.43 / Chapter 5 --- Leader-following Connectivity Preservation Rendezvous of Multi-agent Systems Based Only Position Measurements --- p.46 / Chapter 5.1 --- Introduction --- p.46 / Chapter 5.2 --- Problem Formulation --- p.47 / Chapter 5.3 --- Construction of Distributed Controller --- p.49 / Chapter 5.4 --- Example --- p.55 / Chapter 5.5 --- Conclusion --- p.58 / Chapter 6 --- Cooperative Global Robust Output Regulation for Nonlinear Multiagent Systems in Output Feedback Form --- p.61 / Chapter 6.1 --- Introduction --- p.61 / Chapter 6.2 --- Preliminaries --- p.63 / Chapter 6.3 --- Construction of Distributed Controller --- p.66 / Chapter 6.4 --- Application to Lorenz Multi-agent Systems --- p.69 / Chapter 6.5 --- Conclusion --- p.72 / Chapter 7 --- Cooperative Global Output Regulation for a Class of Nonlinear Multiagent Systems --- p.75 / Chapter 7.1 --- Introduction --- p.75 / Chapter 7.2 --- Preliminaries --- p.77 / Chapter 7.3 --- Solvability of Problem --- p.82 / Chapter 7.4 --- Application to Hyper-Chaotic Lorenz Multi-agent Systems --- p.90 / Chapter 7.5 --- Concluding Remarks --- p.97 / Chapter 8 --- Conclusions and Future Work --- p.100 / Chapter 8.1 --- Conclusions --- p.100 / Chapter 8.2 --- Future Work --- p.101 / Bibliography --- p.102 / Biography --- p.112

(i) A pure small gain approach is proposed to handle a disturbance attenuation problem for a class of feedforward systems subject to both dynamic uncertainty and disturbance. Two versions of small gain theorem with restrictions are employed to establish the global attractiveness and local stability of the closed-loop system at the origin, respectively. Unlike Lyapunov's linearization method and asymptotic small gain theorem combined approach, the proposed approach does not require the stabilizability assumption of the Jacobian linearization of the system at the origin. / (i) We first identify structural properties of the plant so that an internal model candidate exists. Then, by looking for a suitable internal model and performing appropriate transformations on the augmented system, we succeed in converting the global robust output regulation problem for a class of feedforward systems into a global robust stabilization problem for a class of feedforward systems subject to both time-varying static and dynamic uncertainties. As a result, the global robust stabilization result obtained in the first part of this thesis is used to solve the global robust output regulation problem for a class of feedforward systems. / (ii) A small gain based bottom-up recursive design is developed to solve a global robust stabilization problem for a class of feedforward systems subject to both time-varying static and dynamic uncertainties. Unlike most existing results, our design does not require the bottom dynamics at each recursion be locally exponentially stable. / (ii) We apply the result of the global robust output regulation problem to solve two trajectory tracking problems for a chain of integrators with uncertain parameters and the Vertical Take-Off and Landing (VTOL) aircraft, respectively. In contrast with the existing designs, for the chain of integrators, our design is low gain and does not need to know the reference trajectory exactly, and for the VTOL aircraft, our design is a complete low gain design and thus is more cost effective. / (iii) The small gain based bottom-up recursive design is further extended to deal with a global robust stabilization problem for a class of feedforward systems which are approximated at the origin by a nonlinear chain of integrators and perturbed by some type of input unmodeled dynamics. Even in the special case where the input unmodeled dynamics is not present, our result is new in the sense that our approach can handle some cases that cannot be handled by any existing approaches. / (iii) We propose a Lyapunov approach to a special case of the output regulation problem, the input disturbance suppression problem for a class of feedforward systems. When the exosystem is known, we solve the problem via dynamic output feedback control. When the exosystem is unknown, we solve the problem via adaptive dynamic state feedback control and we also give the conditions under which an estimated parameter vector can converge to the true parameter vector. / It is now well known from the general framework for tackling the output regulation problem that the robust output regulation problem can be approached in two steps. In the first step, the problem is converted into a robust stabilization problem of a so-called augmented system which consists of the original plant and a suitably defined dynamic system called an internal model candidate, and in the second step, the robust stabilization problem of the augmented system is further pursued. The success of the first step depends on whether or not an internal model candidate exists. Even though the first step succeeds, the success of the second step is by no means guaranteed due to at least two obstacles. First, the stabilizability of the augmented system is dictated not only by the given plant but also by the particular internal model candidate employed. Second, the stabilization problem of the augmented system is much more challenging than that of the original plant with the exogenous signal set to 0, because the structure of the augmented system may be much more complex than that of the original plant. Perhaps, it is because of these difficulties, so far almost all papers on semi-global or global robust output regulation problem are focused on the lower triangular systems, feedback linearizable systems and output feedback systems. The second part of this thesis aims to study the global robust output regulation problem of feedforward systems. The major results are summarized as follows. / The stabilization problem of feedforward systems has absorbed a lot of attention during the past fifteen years. More recently, the stabilization problem of feedforward systems subject to input unmodeled dynamics is studied. Nevertheless, the more realistic case where the system is subject to both time-varying static and dynamic uncertainties has not been adequately investigated. The first part of this thesis focuses on the global robust stabilization problem for various classes of feedforward systems containing both time-varying static and dynamic uncertainties. The major results are summarized as follows. / This thesis contains two parts. The first part studies the global robust stabilization problem of feedforward systems and the second part further addresses the global robust output regulation problem of the same class of nonlinear systems. / Chen, Tianshi. / Adviser: Jie Huang. / Source: Dissertation Abstracts International, Volume: 70-09, Section: B, page: . / Thesis submitted in: December 2008. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 136-143). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Electronic reproduction. [Ann Arbor, MI] : ProQuest Information and Learning, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts in English and Chinese. / School code: 1307.

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Thesis (Ph. D.)--Washington State University, December 2007. / Includes bibliographical references.