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Aggregation–decomposition and equi-ultimate boundedness

Published online by Cambridge University Press:  17 February 2009

P. E. Kloeden
P. E. Kloeden
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Vic. 3052, “Australia.
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Abstract

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The aggregation–decomposition method is used to derive a sufficient condition for the equi-ultimate boundedness of large-scale systems governed by nonlinear ordinary differential equations.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 19 , Issue 2 , December 1975 , pp. 249 - 258
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Grujić, Lj. T., ‘Stability analysis of large-scale systems with stable and unstable subsystems’, Inter. J. Control 20 (1974), 453–463.CrossRefGoogle Scholar
[2]Grujić, Lj. T., ‘Uniform prac.tical and finite-time stability of large-scale systems’, Inter. J. Systems Sci. 6 (1975), 181–195.CrossRefGoogle Scholar
[3]Grujić, Lj. T. and Siljak, D. D., ‘Asymptotic stability and instability of large-scale systems’, IEEE Trans. AC–18 (1973), 636–645.Google Scholar
[4]Michel, A. N., ‘Stability analysis of interconnected systems’, SIAM J. Control 12 (1974), 554–579.CrossRefGoogle Scholar
[5]Stonier, R. J., ‘Ultimate boundedness of a two-person game using Lyapunov theory’, (University of Queensland Pure Mathematics Preprint 41, 1973).Google Scholar
[6]Yoshizawa, T., ‘Lyapunov's function and boundedness of solutions’, Funkcialaj Ekvacioj 2 (1959), 95–142.Google Scholar
[7]Yoshizawa, T., Stability Theory by Lyapunov's Second Method, (Mathematical Society of Japan, 1965).Google Scholar