Generic stability and boundedness of semistate systems

Vladimir B. Bajić

doi:10.1093/imamci/5.2.103

Generic stability and boundedness of semistate systems

Vladimir B. Bajić^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The behaviour of semistate systems is investigated by considering the generic concepts of stability and boundedness. These qualitative concepts define properties of system motions with respect to certain families of time-varying subsets of the semistate space. The results yield sufficient conditions and generalize some known results on pratical and set stability. The criteria derived involve the existence of aggregation functions which, together with their total time derivative along the system motions, can be sign-indefinite. The approach proposed unifies the analysis on finite and infinite time intervals, as well as the analysis of set and Lyapunov-like stability. Some examples are worked out to illustrate the results obtained.

Original language	English (US)
Pages (from-to)	103-115
Number of pages	13
Journal	IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
Volume	5
Issue number	2
DOIs	https://doi.org/10.1093/imamci/5.2.103
State	Published - 1988
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Applied Mathematics

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AB - The behaviour of semistate systems is investigated by considering the generic concepts of stability and boundedness. These qualitative concepts define properties of system motions with respect to certain families of time-varying subsets of the semistate space. The results yield sufficient conditions and generalize some known results on pratical and set stability. The criteria derived involve the existence of aggregation functions which, together with their total time derivative along the system motions, can be sign-indefinite. The approach proposed unifies the analysis on finite and infinite time intervals, as well as the analysis of set and Lyapunov-like stability. Some examples are worked out to illustrate the results obtained.

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Generic stability and boundedness of semistate systems

Abstract

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