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Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure.

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Title: Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure.
Authors: Azhmyakov, Vadim1, Angulo, Marco Tulio2 darkbyte@gmail.com
Source: International Journal of Systems Science. Nov2011, Vol. 42 Issue 11, p1899-1907. 9p.
Subjects: Switching theory, Differential inclusions, Nonlinear systems, Differential equations, Approximation theory, Robust control, Mathematical proofs
Abstract: This article deals with applications of the newly elaborated fundamental continuity property to a class of affine switched systems and to some differential equations with discontinuous right-hand sides. We study conventional, switched and relaxed controllable dynamical models described by nonlinear ordinary differential equations that are affine in the input. The special structure of these systems makes it possible to prove the strong approximability property that can provide a useful tool for some specific robustness results. The mathematical approach based on the nonlinear and set-valued analysis, allows to consider the controllable dynamics in an abstract setting and to obtain some general theoretical results. The latter can be effectively applied to a wide classes of switched control systems and to differential inclusions with affine structure. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This article deals with applications of the newly elaborated fundamental continuity property to a class of affine switched systems and to some differential equations with discontinuous right-hand sides. We study conventional, switched and relaxed controllable dynamical models described by nonlinear ordinary differential equations that are affine in the input. The special structure of these systems makes it possible to prove the strong approximability property that can provide a useful tool for some specific robustness results. The mathematical approach based on the nonlinear and set-valued analysis, allows to consider the controllable dynamics in an abstract setting and to obtain some general theoretical results. The latter can be effectively applied to a wide classes of switched control systems and to differential inclusions with affine structure. [ABSTRACT FROM AUTHOR]
ISSN:00207721
DOI:10.1080/00207721.2011.570879