Article

Sets invariant under an integral constraint on controls

М. ТухтасиновNational University of Uzbekistan, Vuzgorodok, Tashkent, 100174, Republic of UzbekistanO. M. IbragimovSouth Kazakhstan State University, ul. Tauke Khana 5, Shymkent, 160019, Republic of Kazakhstan

Russian Mathematicsjournal2011en

ABI

Abstract

In this paper we study the invariance of given sets with respect to a system with distributed parameters. The considered system is described by a heat conductivity equation whose right-hand side written in the additive form contains a control. For the initial data we obtain sufficient conditions for the strong and weak invariance of the set that represents the graph of a given multivalued mapping.

Topics

Stability and Controllability of Differential Equations Optimization and Variational Analysis Contact Mechanics and Variational Inequalities

Identifiers

DOI: 10.3103/s1066369x11080093

Citations and references

Cited by 2 9 references

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