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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2011 Issue 9, Pages 13–27 (Mi at2270)

This article is cited in 4 papers

Topical issue

Hamilton–Jacobi inequalities and the optimality conditions in the problems of control with common end constraints

V. A. Dykhta, S. P. Sorokin

Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia

Abstract: The canonical theory of the necessary and sufficient conditions for global optimality based on the sets of nonsmooth solutions of the differential Hamilton–Jacobi inequalities of two classes of weakly and strongly monotone Lyapunov type functions was developed. These functions enable one to estimate from above and below the objective functional of the optimal control problem and determine the internal and external approximations of the reachability set of the controlled dynamic system.

Presented by the member of Editorial Board: L. B. Rapoport

Received: 12.04.2011


 English version:
Automation and Remote Control, 2011, 72:9, 1808–1821

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