By Hsiao-Dong Chiang,Luís F. C. Alberto

This authoritative remedy covers thought, optimum estimation and a number sensible purposes. the 1st e-book at the topic, and written via best researchers, this transparent and rigorous paintings offers a finished conception for either the soundness boundary and the steadiness areas of a number nonlinear dynamical structures together with non-stop, discrete, complicated, two-time-scale and non-hyperbolic structures, illustrated with numerical examples. The authors additionally suggest new innovations of quasi-stability area and of appropriate balance areas and their entire characterisations. optimum schemes for estimating balance areas of common nonlinear dynamical structures also are lined, and at last the authors describe and clarify how the idea is utilized in purposes together with direct tools for energy procedure brief balance research, nonlinear optimisation for locating a suite of top quality optimum recommendations, stabilisation of nonlinear structures, environment dynamics, and immunisation problems.

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