Niculescu, Silviu-Iulian Delay effects on stability. A robust control approach. (English) Zbl 0997.93001 Lecture Notes in Control and Information Sciences. 269. London: Springer. xvi, 383 p. (2001). From the author’s preface: The monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient or necessary and sufficient characterizations are proposed. In the first chapter, the problem statement, the definition of the state, the existence of solutions, uniqueness, continuous dependence, stability definitions, etc. are presented. In the second chapter some engineering and biological examples are considered. The third chapter is devoted to the basic delay effect, notions in delay systems and propagation models. The fourth chapter addresses the frequency-domain for the analysis of dynamical systems including discrete ones, or some special classes of distributed delays. The fifth chapter is devoted to Lyapunov’s second method and its application. The sixth chapter deals with some robustness issues in closed-loop schemes. The last chapter is devoted to some applications. Reviewer: Tamaz Tadumadze (Tbilisi) Cited in 1 ReviewCited in 321 Documents MSC: 93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory 93C23 Control/observation systems governed by functional-differential equations 34K20 Stability theory of functional-differential equations 93D15 Stabilization of systems by feedback 93D09 Robust stability 93C55 Discrete-time control/observation systems 34K40 Neutral functional-differential equations 34K06 Linear functional-differential equations Keywords:delay differential equations; neutral differential equations; delay effects; stability; well posedness; discrete delay systems; stability regions; frequency-domain; Lyapunov’s second method; robustness; applications PDFBibTeX XMLCite \textit{S.-I. Niculescu}, Delay effects on stability. A robust control approach. London: Springer (2001; Zbl 0997.93001)