Email this article On the Existence of a Lipschitz Feedback Control in a Control Problem with State Constraints
- Authors: Gusev M.I.1,2
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 299, No Suppl 1 (2017)
- Pages: 61-67
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175239
- DOI: https://doi.org/10.1134/S0081543817090085
- ID: 175239
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Abstract
We consider a nonlinear control system with state constraints given as a solution set for a finite system of nonlinear inequalities. The problem of constructing a feedback control that ensures the viability of trajectories of the closed system in a small neighborhood of the boundary of the state constraints is studied. Under some assumptions, the existence of a feedback control in the form of a Lipschitz function of the state of the system is proved.
About the authors
M. I. Gusev
Krasovskii Institute of Mathematics and Mechanics; Ural Federal University
Author for correspondence.
Email: gmi@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620000
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