Title :
String stability of singularly perturbed stochastic systems with Gaussian excitations
Author :
Rybarska-Rusinek, L. ; Socha, Leslaw A.
Author_Institution :
Dept. of Math., Tech. Univ. of Rzeszow, Poland
Abstract :
The problem of string of singularly perturbed, nonlinear dynamic systems under parametric Gaussian excitations is considered in this paper. The deviation of the sufficient conditions of stability is based on a combination of the idea of the exponential stability of singularly, perturbed stochastic systems with the concept of string stability of singularly perturbed interconnected deterministic systems.
Keywords :
Gaussian distribution; asymptotic stability; nonlinear control systems; singularly perturbed systems; stochastic systems; Gaussian excitations; nonlinear dynamic systems; singularly perturbed interconnected deterministic systems; singularly perturbed stochastic systems; string stability; Differential equations; Mathematics; Nonlinear equations; Stability analysis; Stability criteria; Stochastic processes; Stochastic resonance; Stochastic systems; Sufficient conditions; White noise;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1240537
