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Analysis and Synthesis of Dynamical Systems with Time-Delays

Author : Yuanqing Xia
Publisher : Springer
Page : 284 pages
File Size : 25,66 MB
Release : 2009-10-22
Category : Technology & Engineering
ISBN : 9783642026973

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Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by the perturbation or uncertainties, in the control of time-delay s- tems, the problems of robust stability and robust stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delay, which are related to the main results in this book. More attention will be paid on synthesis of systems with time-delay. That is, sliding mode control of systems with time-delay; networked control systems with time-delay; networked data fusion with random delay.

Linear Dynamical Quantum Systems

Author : Hendra I Nurdin
Publisher : Springer
Page : 273 pages
File Size : 50,24 MB
Release : 2017-05-11
Category : Technology & Engineering
ISBN : 3319552015

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This monograph provides an in-depth treatment of the class of linear-dynamical quantum systems. The monograph presents a detailed account of the mathematical modeling of these systems using linear algebra and quantum stochastic calculus as the main tools for a treatment that emphasizes a system-theoretic point of view and the control-theoretic formulations of quantum versions of familiar problems from the classical (non-quantum) setting, including estimation and filtering, realization theory, and feedback control. Both measurement-based feedback control (i.e., feedback control by a classical system involving a continuous-time measurement process) and coherent feedback control (i.e., feedback control by another quantum system without the intervention of any measurements in the feedback loop) are treated. Researchers and graduates studying systems and control theory, quantum probability and stochastics or stochastic control whether from backgrounds in mechanical or electrical engineering or applied mathematics will find this book to be a valuable treatment of the control of an important class of quantum systems. The material presented here will also interest physicists working in optics, quantum optics, quantum information theory and other quantum-physical disciplines.

Analysis and Synthesis of Dynamical Systems with Time-Delays

Author : Yuanqing Xia
Publisher : Springer
Page : 288 pages
File Size : 30,78 MB
Release : 2009-10-06
Category : Technology & Engineering
ISBN : 3642026966

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Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by the perturbation or uncertainties, in the control of time-delay s- tems, the problems of robust stability and robust stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delay, which are related to the main results in this book. More attention will be paid on synthesis of systems with time-delay. That is, sliding mode control of systems with time-delay; networked control systems with time-delay; networked data fusion with random delay.

Technique for Synthesis of Constant Linear Dynamical Systems with a Bang-bang Controller

Author : Jerrold H. Suddath
Publisher :
Page : 48 pages
File Size : 13,1 MB
Release : 1964
Category : Optimal control
ISBN :

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A synthesis technique employing linear switching logic with time-dependent gains was investigated. With the assumption that variable gains would eliminate endpoints, conditions for asymptotic stability were obtained from considerations of Liapunov functions. The technique was successfully applied in an analog computer simulation of an idealized attitude-control system for spinning space vehicles.

Formal Methods for Discrete-Time Dynamical Systems

Author : Calin Belta
Publisher : Springer
Page : 291 pages
File Size : 29,4 MB
Release : 2017-03-08
Category : Technology & Engineering
ISBN : 331950763X

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This book bridges fundamental gaps between control theory and formal methods. Although it focuses on discrete-time linear and piecewise affine systems, it also provides general frameworks for abstraction, analysis, and control of more general models. The book is self-contained, and while some mathematical knowledge is necessary, readers are not expected to have a background in formal methods or control theory. It rigorously defines concepts from formal methods, such as transition systems, temporal logics, model checking and synthesis. It then links these to the infinite state dynamical systems through abstractions that are intuitive and only require basic convex-analysis and control-theory terminology, which is provided in the appendix. Several examples and illustrations help readers understand and visualize the concepts introduced throughout the book.