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1 
Testing planarity in linear timeHayer, Matthias 12 1900 (has links)
No description available.

2 
Quantification of parallel vibration transmission paths in discretized systemsInoue, Akira, January 2007 (has links)
Thesis (Ph. D.)Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 195199).

3 
Linear continuoustime system identification and state observer design by modal analysisElShafey, Mohamed Hassan January 1987 (has links)
A new approach to the identification problem of linear continuoustime timeinvariant systems from inputoutput measurements is presented. Both parametric and nonparametric system models are considered. The new approach is based on the use of continuoustime functions, the modal functions, defined in terms of the system output, the output derivatives and the state variables under the assumption that the order n of the observable system is known a priori. The modal functions are obtained by linear filtering operations of the system output, the output derivatives
and the state variables so that the modal functions are independent of the system instantaneous state. In this case, the modal functions are linear functions of the input exponential modes, and they contain none of the system exponential modes unlike the system general response which contains modes from both the system
and the input. The filters parameters, the modal parameters are estimated using linear regression techniques.
The modal functions and the modal parameters of the output and its derivatives
are used to identify parametric inputoutput and state models of the system. The coefficients of the system characteristic polynomial are obtained by solving n algebraic equations formed from the estimates of the modal parameters. Estimates
of the parameters associated with the system zeros are obtained by solving another set of linear algebraic equation. The system frequency response and step response are estimated using the output modal function. The impulse response is obtained by filtering the estimated step response using the output first derivative modal parameters.
A new method is presented to obtain the system poles as the eigenvalues of a data matrix formed from the system free response. The coefficients of the system characteristic polynomial are obtained from the data matrix through a simple recursive
equation. This method has some important advantages over the well known Prony's method.
The state modal functions are used to obtain a minimumtime observer that gives the continuoustime system state as a direct function of inputoutput samples in n sampling intervals. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate

4 
Suppression of the transient response in linear timeinvariant systems /Landschoot, Timothy P. January 1994 (has links)
Thesis (M.S.)Rochester Institute of Technology, 1994. / Typescript. Includes bibliographical references (leaf 123).

5 
Detection and diagnosis of parameters change in linear system using timefrequency transformationPark, Daehyun 16 September 1991 (has links)
A systematic optimization of the Cohen class timefrequency
transformation for detecting the parameters change is developed.
The local moments approach to change detection is proposed and a
general formula for the local moments is derived. The optimal
kernel functions of the timefrequency transformation are determined
based on the combined criteria of maximum sensitivity with respect to
parameters change and minimum distortion of physical interpretation
of the local moments. The sensitivity of the local moment with
respect to a certain kind of inputs is analyzed and a most "convenient"
and a "worst" input are identified. The results are presented in the
form of the case studies for detecting parameters change in simple
linear systems. / Graduation date: 1992

6 
Singlyconstrained monotropic network flow problems : a linear time transformation to unconstrained problems and qualitative sensitivity analysisGautier, Antoine January 1990 (has links)
This thesis examines several problems related to singlyconstrained Monotropic Network Flow Problems. In the first part, a linear time algorithm that reduces the solution of a monotropic network flow problem with an additional linear equality constraint to the solution of lower dimensional subproblems is presented. Of the subproblems, at most one is a singlyconstrained monotropic network flow problem while the others are unconstrained. If none of the subproblems is constrained, the algorithm provides a lineartime transformation of constrained to unconstrained monotropic network flow problems. Extensions to nonlinear and inequality constraints are given.
In the second part the qualitative theory of sensitivity analysis for Unconstrained MinimumCost Flow Problems presented by Granot and Veinott [GV85] is extended to MinimumCost Flow Problems with one additional linear constraint. The departure from the unconstrained network structure is shown to have a profound effect on computational issues. Two natural
extensions of the "lessdependenton" partial ordering of the arcs given in [GV85] are presented. One is decidable in linear time while the other yields more information but is NPcomplete in general. The Ripple Theorem gives upper bounds on the absolute value of optimalflow variations as a function of variations in the problem parameter. Moreover, it shows how changes may "ripple down" throughout the network, decreasing in magnitude as one gets "further away" from the arc whose parameter initiated the change. The Theory of Substitutes and Complements presents necessary and sufficient conditions for optimalflow changes to consistently have the same (or the opposite) sign in two given arcs. The complexity
of determining Substitutes and Complements is shown to be NPcomplete in general. However, for all intractable problems, families of cases arise from easily recognizable graph structures and can be computed in linear time. The Monotonicity Theory links the changes in the value of the parameters to the change in the optimal arcflows. Bounds on the rates
of changes are discussed.
We further provide a number of practical situations where our theory may apply. We discuss some MultiPeriod MultiProduct InventoryProduction models that can be formulated
as nonlinear parametric network flow problems with one additional linear constraint. We then apply our theory to help decision makers understand qualitatively how to respond to changes in the environment such as machine breakdown, strike or variations in inventory carrying costs without additional computation. In a second example, we show how a CashFlow Management model can be formulated as a nonlinear parametric network flow problem with one additional linear constraint. The theory is then recommended as a method by which a decision maker could understand qualitatively how to respond to changes in the environment such as variations in interest rates, taxes or asset prices without any additional computation. / Business, Sauder School of / Graduate

7 
Necessary and Sufficient Conditions for StateSpace Network RealizationParé, Philip E., Jr. 24 June 2014 (has links)
This thesis presents the formulation and solution of a new problem in systems and control theory, called the Network Realization Problem. Its relationship to other problems, such as State Realization and Structural Identifiability, is shown. The motivation for this work is the desire to completely quantify the conditions for transitioning between different mathematical representations of linear timeinvariant systems. The solution to this problem is useful for theorists because it lays a foundation for quantifying the information cost of identifying a system's complete network structure from the transfer function.

8 
Model reduction and simulation of complex dynamic systems /Gupta, Amit. January 1990 (has links)
Thesis (M.S.)Rochester Institute of Technology, 1990. / Spine title: Model reduction of complex dynamic systems. Includes bibliographical references.

9 
Steadystate performance of discrete linear timeinvariant systems /Haddleton, Steven W. January 1994 (has links)
Thesis (M.S.)Rochester Institute of Technology, 1994. / Typescript. Includes bibliographical references (leaves 107108).

10 
An algebraic approach to analysis and control of timescalesJanuary 1983 (has links)
XiCheng Lou ... [et al.]. / Bibliography: leaf 14. / "October, 1983." / Air Force Office of Scientific Research Contract AFOSR820258 Natural Sciences and Engineering Research Council of Canada Grant A1240

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