Robust stability of deterministic and stochastic multidelay large-scale systems with structured and unstructured uncertainties: a unified approach

Author

Feng, Zhao-Shu

Author_Institution

Dept. of Autom., South China Univ. of Technol., Guangzhou, China

fYear

1992

fDate

1992

Firstpage

720

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371633

Filename

371633