This article is cited in 10 papers

The direct Lyapunov method in investigating the attraction of trajectories of finite-difference inclusions

S. K. Zavriev, A. G. Perevozchikov

Moscow

Abstract: Finite-difference analogues of differential inclusions encountered in the theory of optimization and some other areas are considered. The region of attraction of the trajectories of finite-difference inclusions with respect to an arbitrary Lipschitz Lyapunov function, differentiable with respect to any direction, is investigated.

UDC: 517.977.58

MSC: 49J24

Received: 26.01.1989

 English version: USSR Computational Mathematics and Mathematical Physics, 1990, 30:1, 15–22

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