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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1988 Issue 5, Pages 62–70 (Mi at6637)

This article is cited in 15 papers

Deterministic Systems

Accurate description of reachable sets and conditions of global optimality for dynamic systems. I. Estimates and accurate description of reachable and controllable sets

M. M. Khrustalev

Moscow

Abstract: Use of locally Lipschitz estimating functions is shown to be capable of estimating with the desired accuracy the reachable and controlliable sets upper- and lowerbounds dynamic systems which are described by ordinary differential equations and, with some fairly weak assumptions, of providing their accurate descriptions.

UDC: 517.977


Received: 13.01.1987


 English version:
Automation and Remote Control, 1988, 49:5, 597–604

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