Title :
Random parameter discrete bilinear system stability
Author :
Yang, Xueshan ; Mohler, R.R. ; Chen, Lung-Kee
Author_Institution :
Oregon State Univ., Corvallis, OR, USA
Abstract :
Stability of discrete, time-varying, stochastic, bilinear systems is studied. Bilinear systems with output feedback are included. Mean-square stability conditions are derived for stochastic models without the assumption of stationarity for the random noise. The feedback function includes a larger class of functions than the class of linear functions or functions satisfying the Lipschitz condition. The sufficient stabilizing conditions depend only on the coefficient matrices of the bilinear system
Keywords :
discrete systems; feedback; linear systems; noise; nonlinear systems; stability criteria; stochastic systems; Lipschitz condition; bilinear systems; coefficient matrices; discrete systems; mean-square stability conditions; output feedback; random noise; random parameter discrete bilinear system stability; stochastic systems; time-varying systems; Cells (biology); Nonlinear dynamical systems; Nonlinear systems; Output feedback; Sampling methods; Stability; Stochastic resonance; Stochastic systems; Systems biology; Time varying systems;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70323