Description: FEATURES: Builds in mathematical sophistication from chapter to chapter. Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems but uses user-friendly language, enlivened with many examples and remarks. Covers the basic elements of Lyapunov stability in a separate chapter. Covers topics ignored by other similar texts, e.g.: averaging. single perturbation center manifold theorem. NEWreorganizes content into three distinct parts: Part Icovers nonlinear system analysis. Part II discusses feedback systems. Part III considers feedback design. NEWexpands coverage of: input-output stability. feedback linearization. small-theorem. NEWadds coverage of: passivity approach. back stepping control design. sliding mode control. numerical construction of phase portraits. comparison principle. comparison method. input-output linearization. differential geometric approach. extended linearization. Features problems that range in difficulty from simple drill problems to advanced (research-level) problems. NEWadds over 100 new problems.

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