THE APPICATION OF MULTIVALUED AND CONVEX ANALYSIS’ES TO TIME OPTIMAL CONTROL PROBLEM FOR LINEAR SYSTEM

13.10.2022 International Scientific Journal "Science and Innovation". Series A. Volume 1 Issue 6

S. Otakulov, F. Hamdamov

Abstract. In the paper we considere some applcation of methods of multivalued and convex analysis’es for dynamic control systems. The propety of reachable set and contollability set are studied. Showe the application of this properties to existence problem in time optimal control problem.

Keywords: linear system, time optimal control, reachability set and contollability set, multivalued convex analysis, existence theorem.