Chang, Kwong Wa = 一般量子系統非馬可夫領域的主方程 / 張光華. / "October 2010." / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 89-92). / Abstracts in English and Chinese. / Chang, Kwong Wa = Yi ban liang zi xi tong fei Makefu ling yu de zhu fang cheng / Zhang Guanghua. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Born-Markov Master Equations --- p.4 / Chapter 2.1 --- Master Equations from von Neumann equation --- p.4 / Chapter 2.2 --- Born Approximation --- p.6 / Chapter 2.3 --- Markov Approximation --- p.8 / Chapter 2.4 --- Born-Markov Approximation --- p.10 / Chapter 2.5 --- Lindblad Equation --- p.12 / Chapter 2.6 --- The Limitations of the Born-Markov Approximation --- p.16 / Chapter 2.7 --- Beyond Born and Markov Approximations --- p.20 / Chapter 2.7.1 --- General projection operator approach --- p.20 / Chapter 2.7.2 --- Time-local form of the master equation --- p.21 / Chapter 3 --- TCL non-Markovian Master Equation for Linear Systems --- p.24 / Chapter 3.1 --- Model --- p.24 / Chapter 3.2 --- The General Structure of the TCL non-Markovian Master Equation for Initially Factorizable States --- p.27 / Chapter 3.3 --- Determination of Unknown Coefficients --- p.32 / Chapter 3.4 --- Weak-Coupling Approximation --- p.46 / Chapter 3.5 --- Steady State Solutions --- p.51 / Chapter 4 --- An Application: Coherence Protection by Parity Kicks --- p.54 / Chapter 4.1 --- Review on Parity Kicks --- p.54 / Chapter 4.2 --- Parity Kicks oil Damped Harmonic Oscillators --- p.58 / Chapter 4.3 --- Numerical Results for Soft Pulses --- p.61 / Chapter 5 --- Other Initial States --- p.67 / Chapter 5.1 --- Factorizable States --- p.67 / Chapter 5.2 --- Non-Factorizable States --- p.73 / Chapter 6 --- Non-Markovianity --- p.75 / Chapter 6.1 --- The Concept of non-Markovianity --- p.75 / Chapter 6.2 --- A Recent Measure --- p.76 / Chapter 6.3 --- A Prospective Measure --- p.79 / Chapter 7 --- Conclusion --- p.87 / Bibliography --- p.89 / Chapter A --- Evolution of Factorizable Coherent State for Linear Damped Harmonic Oscillator with RWA --- p.93 / Chapter B --- "Derivation of G, L and F" --- p.95 / Chapter C --- Comparison of Equations of Motion for Master Equation Coefficients --- p.98

Andrew E. Yagle, Bernard C. Levy. / Bibliography: p. 27. / "July 1981" / "NASA Ames Research Center ... Grant NASA/NGL-22-009-124"

Thesis (Ph. D.)--Ohio State University, 2008. / Title from first page of PDF file. Includes bibliographical references (p. 88-89).

No description available.

No description available.

No description available.

No description available.

An interesting type of distributed system is a collection of identical subsystems that interact in a distinct pattern. A notable example is a ring, more commonly referred to as a circulant system. It is well known that control problems for circulant systems can be simplified by exploiting their common connection with the shift operator. Based on an examination of the algebraic properties underlying this connection, we identify a broader class of systems that share common base transformations. We call it the class of linear patterned systems. Members with meaningful physical interpretations include symmetric circulant systems, triangular Toeplitz systems and certain hierarchical systems. A geometric approach is employed to study the basic control properties of patterned systems, including controllability, observability and decomposition. Controller synthesis for several stabilization problems is then considered, and we show that a patterned solution to the problems exists if a general solution exists.

An interesting type of distributed system is a collection of identical subsystems that interact in a distinct pattern. A notable example is a ring, more commonly referred to as a circulant system. It is well known that control problems for circulant systems can be simplified by exploiting their common connection with the shift operator. Based on an examination of the algebraic properties underlying this connection, we identify a broader class of systems that share common base transformations. We call it the class of linear patterned systems. Members with meaningful physical interpretations include symmetric circulant systems, triangular Toeplitz systems and certain hierarchical systems. A geometric approach is employed to study the basic control properties of patterned systems, including controllability, observability and decomposition. Controller synthesis for several stabilization problems is then considered, and we show that a patterned solution to the problems exists if a general solution exists.

Thesis (Ph.D.)--University of Adelaide, Dept. of Applied Mathematics, 2001. / "October 2001." Bibliography: leaves 99-103.