Title :
Positively invariant set of RFDE with applications to linear systems with time-varying input delays
Author :
Hou, Chunhai ; Qian, Jixin
Author_Institution :
Inst. of Ind. Process Control, Zhejiang Univ., Hangzhou, China
Abstract :
Positively invariant set of retarded functional differential equations (RFDEs) with perturbations is investigated. As the application of results obtained for RFDEs, the state positively asymmetrical invariant set for linear systems with nonlinear time-varying input delay is first introduced, and sufficient conditions of the state positively asymmetrical invariant set for such systems are presented
Keywords :
delays; differential equations; functional equations; linear systems; time-varying systems; linear systems; retarded functional differential equations; state positively asymmetrical invariant set; sufficient conditions; time-varying input delays; Asymptotic stability; Delay effects; Delay systems; Differential equations; Electrical equipment industry; Industrial control; Linear systems; Process control; Sufficient conditions; Time varying systems;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.703336
