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Robustness of uncertain systems in the absence of matching assumptions. (English) Zbl 0623.93023
The robustness (in wide sense) problem of a controlled dynamical system with uncertain elements in the state equation is considered. Contrary to the most previous results the hard assumptions for the uncertainty structure (the so-called matching assumptions) are not used in this paper. The mathematical model of uncertainty is the family of Lebesgue- measurable functions with values in a prescribed compact set.
The authors give five special conditions under which the strongly Carathéodory feedback control ensures practical stability of the dynamical system. The main result is a design procedure for robust control of uncertain dynamical systems. These results are applicable to linear systems as well as to nonlinear ones. The special case on nominally linear and time-invariant dynamical systems and some other examples are considered.
Reviewer: V.Krakhatko

MSC:
93B35 Sensitivity (robustness)
93C10 Nonlinear systems in control theory
93D99 Stability of control systems
93C05 Linear systems in control theory
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