On the Boundedness Properties of Solutions to Set Control Differential Equations

Abstract

The set-valued differential equations (SDEs) are important parts of the set-valued analysis theory. It was investigeted by professor Lakshmikantham V., and many other authors (see(1)-(6),(8)-(10)). Beside that, we have to studied the problems of existence, co mparison and stability of set solutions to the set-valued control differential equations (SCDEs) (see(7),(11)-(16)). In this paper, we present the problems of boundedness for set solutions to the Set Control Differential Equations (SCDEs) by the Lyapunov-like functions and by admisib le control- feedback.