A constructive methodology for estimating the stability regions of interconnected nonlinear systems

Author

Chiang, Hsiao-Dong ; Fekih-Ahmed, Lazhar

Author_Institution

Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA

Volume

37

Issue

5

fYear

1990

fDate

5/1/1990 12:00:00 AM

Firstpage

577

Lastpage

588

Abstract

A constructive methodology for estimating the stability regions of interconnected nonlinear systems is presented. One appealing figure of the methodology is that it significantly reduces the undesirable conservativeness of the Lyapunov function approach. This constructive methodology is iterative in character and yields a sequence of estimated stability regions which is shown to be a strictly monotonic increasing sequence and yet each of the iterations lies inside the entire stability region. The methodology applies to both the scalar Lyapunov function approach and the vector Lyapunov function approach and has a sound theoretical basis. Examples are provided to illustrate the constructive methodology

Keywords

Lyapunov methods; large-scale systems; nonlinear systems; stability; constructive methodology; interconnected nonlinear systems; scalar Lyapunov function; stability regions; strictly monotonic increasing sequence; vector Lyapunov function; Information analysis; Interconnected systems; Iterative methods; Large-scale systems; Lyapunov method; Nonlinear systems; Power system analysis computing; Power system interconnection; Power system stability; Yield estimation;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.54994

Filename

54994