This authoritative remedy covers concept, optimum estimation and a number functional purposes. the 1st publication at the topic, and written via best researchers, this transparent and rigorous paintings provides a finished conception for either the steadiness boundary and the soundness areas of a number nonlinear dynamical platforms together with non-stop, discrete, complicated, two-time-scale and non-hyperbolic platforms, illustrated with numerical examples. The authors additionally suggest new thoughts of quasi-stability quarter and of correct balance areas and their whole characterisations. optimum schemes for estimating balance areas of basic nonlinear dynamical platforms also are coated, and at last the authors describe and clarify how the idea is utilized in purposes together with direct tools for strength process brief balance research, nonlinear optimisation for locating a suite of fine quality optimum options, stabilisation of nonlinear platforms, atmosphere dynamics, and immunisation problems.

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