Stability of a class of interconnected evolution systems

Author

Wen, John T.

Author_Institution

Dept. of Electr. Comput. Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA

Volume

37

Issue

3

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

342

Lastpage

347

Abstract

Stability conditions for a class of interconnected systems modeled by linear abstract evolution equations and a memoryless nonlinearity are derived. These conditions are stated in terms of the passivity of each of the subsystems and can be considered as a partial generalization of the hyperstability theorem. A Lyapunov function approach is used in the proof without requiring the positive definiteness of the Lyapunov function. Application to the robustness analysis of the infinite-dimensional linear quadratic regulator is also discussed

Keywords

Lyapunov methods; control system analysis; large-scale systems; multidimensional systems; optimal control; stability; time-varying systems; Lyapunov function; control system analysis; hyperstability theorem; infinite-dimensional linear quadratic regulator; interconnected evolution systems; linear abstract evolution equations; memoryless nonlinearity; multidimensional systems; optimal control; passivity; robustness analysis; stability; Asymptotic stability; Coercive force; Forward contracts; Frequency; Intelligent robots; Interconnected systems; Linearity; Lyapunov method; Nonlinear equations; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.119633

Filename

119633