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Robust control and filtering for time-delay systems. (English) Zbl 0969.93002
Control Engineering (Boca Raton) 5. New York, NY: Marcel Dekker. 448 p. (2000).
The book is devoted to the problems of stability, stabilization, robust control design and filtering of linear continuous-time and discrete-time systems with time delays and both parametric and structural uncertainties. Some very special problems of nonlinear uncertain time-delay systems are also considered. The author presents a state-space approach to the analysis and design of uncertain systems. The methodology includes:
1) Lyapunov type and linear matrix inequality based techniques for analysis of delay-independent and delay-dependent stability of both continuous and discrete-time systems and the design of robustly stabilizing controllers for such systems using both state-feedback and dynamic output feedback.
2) \(H_\infty\) methods for robust stability and robust performance analysis as well as robust control design.
3) Guaranteed cost control techniques including Lyapunov type methods and observer-based design.
4) Robust filtering of Kalman and \(H_\infty\) type.
5) Large scale system and decentralized control techniques used to design control laws and filtering for interconnected time-delay systems.
All theoretical studies are appended by a number of simulation examples performed using MATLAB and LMI control software. The book is no difficult reading and could be advised for doctoral studies in control engineering and related topics.

93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
93C23 Control/observation systems governed by functional-differential equations
93D09 Robust stability
93A15 Large-scale systems
93A14 Decentralized systems
93E11 Filtering in stochastic control theory
93D21 Adaptive or robust stabilization
93B36 \(H^\infty\)-control
93B07 Observability
15A39 Linear inequalities of matrices