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On singular passages to the limit in case of extension of discontinuous systems. (Russian) Zbl 0654.34055
An augmentation averaging scheme is proposed for predetermination of the sliding system \(\dot s=f(s,x,u(s))\), \(\dot x=F(s,x,u(s))\), where \(s(t)\in {\mathbb{R}}^ 1\), \(x(t)\in {\mathbb{R}}^ n\) and \(u(s)=sign(s)\).
Reviewer: D.Baniov

MSC:
34H05 Control problems involving ordinary differential equations
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