<p><P><EM>Dynamical Systems: Discontinuous, Stochasticity and Time-Delay</EM> provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical
Deterministic and Stochastic Time-Delay Systems
β Scribed by El-KΓ©bir Boukas, Zi-Kuan Liu (auth.)
- Publisher
- BirkhΓ€user Basel
- Year
- 2002
- Tongue
- English
- Leaves
- 426
- Series
- Control Engineering
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their conΒ trol in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alternaΒ tive consists of linearizing the nonlinear dynamical stochastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and stochastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.
β¦ Table of Contents
Front Matter....Pages i-xvi
Introduction....Pages 1-17
Deterministic Time Delay Systems....Pages 21-29
Stability and Stabilizability....Pages 31-67
Robust Stability and Robust Stabilizability....Pages 69-98
H β Control and Filtering....Pages 99-130
Robust βH β Control, Filtering, and Guaranteed Cost Control....Pages 131-173
Stochastic Time Delay Systems....Pages 177-183
Stability and Stabilizability of Markov Jump Systems....Pages 185-228
Robust Stability and Stabilizability of Jump Linear Uncertain Systems With Time Delay....Pages 229-282
H β Control and Filtering Problems for Markov Jump Systems with Time Delay....Pages 283-324
Robust H β and Guaranteed Cost Control for Jump Linear Systems with Time Delay....Pages 325-360
Nonlinear Stochastic Control Problem....Pages 361-376
Back Matter....Pages 377-423
β¦ Subjects
Vibration, Dynamical Systems, Control; Control, Robotics, Mechatronics
π SIMILAR VOLUMES
Most books on this subject can be tiresome to read. The notation and endless equations without comments can be a real headache. This book is not one of those. You can open it anywhere and start reading and find an hour has passed before you know it. The writers talk TOO you as if you were the single
Most books on this subject can be tiresome to read. The notation and endless equations without comments can be a real headache. This book is not one of those. You can open it anywhere and start reading and find an hour has passed before you know it. The writers talk TOO you as if you were the single
<p><p>This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology h