Titlebook: Nonlinear Analysis, Differential Equations and Control; F. H. Clarke,R. J. Stern,G. Sabidussi Book 1999 Springer Science+Business Media Do

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Stability and stabilization: discontinuities and the effect of disturbances, topics covered include a review of stability and asymptotic controllability, an introduction to the problem of stabilization and obstructions to continuous stabilization, the notion of control-Lyapunov functions, and a discussion of discontinuous feedback and methods of nonsmooth analysis. An empha

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1389-2185 cal system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional l

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Smooth variational principles and non-smooth analysis in Banach spaces,e also present the key facts for the resolution of second order fully non-linear partial differential equations. Several open problems connected with the content of these lectures will also be presented.