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IMA Journal of Mathematical Control and Information 1988 5(2):103-115; doi:10.1093/imamci/5.2.103
© 1988 by Institute of Mathematics and its Applications
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Generic Stability and Boundedness of Semistate Systems

VLADIMIR B. BAJIC

The Institute of Nuclear Sciences, ‘Boris Kidric’—Vinca, LAB 130 P.O. Box 522, 11001 Beograd, Yugoslavia

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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