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Asymptotic stability and instability of large-scale systemsThe purpose of this paper is to develop new methods for constructing vector Lyapunov functions and broaden the application of Lyapunov's theory to stability analysis of large-scale dynamic systems. The application, so far limited by the assumption that the large-scale systems are composed of exponentially stable subsystems, is extended via the general concept of comparison functions to systems which can be decomposed into asymptotically stable subsystems. Asymptotic stability of the composite system is tested by a simple algebraic criterion. By redefining interconnection functions among the subsystems according to interconnection matrices, the same mathematical machinery can be used to determine connective asymptotic stability of large-scale systems under arbitrary structural perturbations.
Document ID
19740030606
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Grujic, L. T.
(Beograd, Univerzitet Belgrade, Yugoslavia)
Siljak, D. D.
(Santa Clara, University Santa Clara, Calif., United States)
Date Acquired
August 7, 2013
Publication Date
December 1, 1973
Publication Information
Publication: IEEE Transactions on Automatic Control
Volume: AC-18
Subject Category
Navigation
Accession Number
74A13356
Funding Number(s)
CONTRACT_GRANT: NGR-05-017-010
Distribution Limits
Public
Copyright
Other

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