Deterministic and Stochastic Time-Delay Systems provides professionals and advanced students in control engineering with the most recent results on deterministic and stochastic time-delay systems.
It is an excellent text/reference for graduate level engineering students, or a reference for practicing control engineers, and researchers in control engineering.
The control of uncertain systems has dominated the research effort of the control community during the last two decades. Some practical dynamical systems have time-delay in their dynamics, which makes their control a complicated task even in the deterministic case. The presence of time-delay in dynamical systems is a well-known case of instability and preference degradation. This book presents recent developments on the class of uncertain deterministic/stochastic dynamical systems with time-delay. Problems such as stochastic stability, stabilizability under memory and memoryless state feedback controller and output feedback control, Hinfinite control, filtering and its robustness are treated. Practical implications of the different methods are considered and numerical algorithms are provided for implementation.
"...the book is in my opinion especially suited to people who already work in the field of delay equations and want to have a good understanding of the Lyapunov approach and to people who are familiar with Lyapunov based control methods for systems without delay and are interested in the extension to time-delay systems. ...The book ends with some appendices, which provide the necessary background to make the book self-contained. Especially the first appendix is interesting, since it not only introduces the reader to linear matrix inequalities, but also explains with some examples how the latter can be numerically solved with the Matlab(R) LMI toolbox." --Bulletin of the Belgian Mathematical Society "The monograph is devoted to problems of stability and stabilization of systems with deviating arguments. It consists of two parts. The first part considers deterministic systems!. The second part of the monograph is devoted to similar problems for stochastic systems!. Each section has numerous examples that illustrate the results of the obtained theorems. The monograph can be useful for solving concrete problems of stabilization and control theory. Examples of such problems are given at the beginning of the book." --Zentralblatt Math "The book is structured into two parts [Part I: Deterministic Control; Part II: Stochastic Control]. The Introduction presents some dynamical time-delay systems and gives the notations used in the book, states the problems and the difference between the two systems under discussion!. Different design algorithms for state feedback are proposed!. The LMI framework is used in all problems!. [S]everal appendices are included to make the book self-contained. Most of the results are illustrated by numerical examples, solved with the LMI Matlab toolbox. This book can be used either as a text for graduate students in engineering or as a reference for practicing control engineers, graduate students and researchers in control engineering." --Applications of Mathematics