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This is the first book that deals with practical stability and its development. It presents a systematic study of the theory of practical stability in terms of two different measures and arbitrary sets and demonstrates the manifestations of general Lyapunov's method by showing how this effective technique can be adapted to investigate various apparently diverse nonlinear problems including control systems and multivalued differential equations.Contents: What is Practical Stability?: Delay Differential EquationsIntegro-Differential EquationsImpulsive Differential Equations Method of Lyapunov Functions: Basic Comparison TheoremsPerturbing Lyapunov FunctionsGlobal Results in Terms of SetsStability Criteria in Terms of Sets Perturbed Systems: Stability of Perturbed SystemsA Technique in Perturbation TheoryReaction Diffusion Equations Control Systems: Controllable SystemsDecentralized ControlOptimal ControlSetvalued Differential InequalitiesReadership: Applied and pure mathematicians, engineers, physicists and economists.

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9781299713505

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