This article is cited in 6 papers

Nonlinear Systems

Necessary feedback optimality conditions and nonstandard duality in problems of discrete system optimization

S. P. Sorokin

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

Abstract: For the problems of optimal control of discrete systems, the necessary global optimality conditions were established without using the convexity assumptions. These conditions are based on the feedback controls constructed using the weakly monotone solutions of the Hamilton–Jacobi inequality.

Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 04.02.2013

 English version: Automation and Remote Control, 2014, 75:9, 1556–1564

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