Global weak asymptotic stability for dynamical polysystems

Abstract

This paper deals with the concent of stability and in variance of dynamical polysystems. In Section 2 the relevant definitions ate given. In Section 3 the different types of stability and invariance are discussed and several theorems are proved. The most important is Theorem 3 which gives sufficient conditions for global weak asymptotic stability. It is pointed out that weak stability is closely related to the notion of controllability for control systems

^†This research was conducted at Wright-Patterson Air Force Base supported under Air Force contract 733615-67-C-1758

^‡Associate Professor, Department of Mathematics Bowling Green State University Bowling Green Ohio

^†This research was conducted at Wright-Patterson Air Force Base supported under Air Force contract 733615-67-C-1758

^‡Associate Professor, Department of Mathematics Bowling Green State University Bowling Green Ohio

Notes

^†This research was conducted at Wright-Patterson Air Force Base supported under Air Force contract 733615-67-C-1758

^‡Associate Professor, Department of Mathematics Bowling Green State University Bowling Green Ohio