Title :
Robust stability of deterministic and stochastic multidelay large-scale systems with structured and unstructured uncertainties: a unified approach
Author_Institution :
Dept. of Autom., South China Univ. of Technol., Guangzhou, China
Abstract :
A unified approach is proposed to deal with the delay-independent robust stability of both deterministic and stochastic multidelay large-scale systems with uncertainties. By using the Lyapunov functionals, the allowable bounds of structured and unstructured uncertainties which maintain the asymptotic stability of the systems are established. For the unstructured uncertain systems, the robustness bounds are obtained directly from the system matrices even without solving the Lyapunov equation. For the large-scale systems with stochastic disturbances, the robustness bounds of the intensities of the disturbances are also derived. An example is given to illustrate the results
Keywords :
Lyapunov methods; delays; large-scale systems; stability; stochastic systems; Lyapunov equation; Lyapunov functionals; asymptotic stability; delay-independent robust stability; deterministic multidelay large-scale systems; robustness bounds; stochastic disturbances; stochastic multidelay large-scale systems; structured uncertainties; system matrices; unified approach; unstructured uncertainties; Asymptotic stability; Delay; Equations; Large-scale systems; Robust stability; Robustness; Stochastic processes; Stochastic systems; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371633
