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Stability of non-linear systems with time-varying delays

Published online by Cambridge University Press:  17 February 2009

R. M. Lewis
R. M. Lewis
Affiliation:
Department of Electrical Engineering, University of Newcastle, NewcastleNSW 2308†
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Abstract

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A condition guranteeing the stability of linear systems with time delays in the interactions among elements is generalized to cover non-linear systems and discontinuous, unbounded delays.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 4 , April 1980 , pp. 452 - 463
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Anderson, B. D. O., “Time delays in large scale systems” (submitted for publication).Google Scholar
[2]Chang, M. H. and Lin, P. T., “Maximum principles for control systems described by measure functional differential equations”, J. Opt. Theory and Applic. 15 (1975), 517–531.CrossRefGoogle Scholar
[3]Das, P. C. and Sharma, R. A., “On optimal controls for measure delay differential equations”, SIAM J. Control 9 (1971), 43–61.CrossRefGoogle Scholar
[4]Hale, J. K., Functional differential equations (Springer Verlag, New York, 1971).CrossRefGoogle Scholar
[5]Lewis, R. M. and Anderson, B. D. O., “Insensitivity of a class of non-linear compartmental systems to the introduction of arbitrary time delays”, IEEE Circuits and Systems (to appear).Google Scholar
[6]Warga, J., Optimal control of differential and functional equations (Academic Press, New York, 1972).Google Scholar