Journal of Convex Analysis 31 (2024), No. 1, 289--296
Copyright Heldermann Verlag 2024
Viability of the Solution with a Perturbation and Feedback Control
Maxim V. Balashov
V. A. Trapeznikov Institute of Control Sciences, Moscow, Russia
balashov73@mail.ru
We consider a dynamic system with a perturbation in the right side. The perturbation is given by some geometrical restriction. We consider the question: find a feedback control that stabilizes a solution of the system required to be viable in a given compact convex subset? We construct minimal, in a certain sense, continuous feedback control which stabilizes the system. Some examples are considered.
Keywords: Viability theory, Hausdorff distance, supporting function, dynamic system, geometric difference.
MSC: 49J52, 49J53, 52A20; 34D20.
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