Abstract
For systems described by ordinary differential equations, we introduce the notion of exponential convergence to a ball containing the origin of the state space. For two specific classes of uncertain systems, controllers are presented which assure this behavior. For one of the system classes, the rate of exponential convergence can be made arbitrarily large.
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Corless M., andLeitmann, G.,Controller Design for Uncertain Systems via Lyapunov Functions, Proceedings of the 1988 American Control Conference, Atlanta, Georgia, 1988.
Corless, M., andLeitmann, G.,Deterministic Control of Uncertain Systems: A Lyapunov Theory Approach, Deterministic Nonlinear Control of Uncertain Systems: Variable Structure and Lyapunov Control, Edited by A. Zinober, IEE Publishers, London, England, pp. 219–250, 1990.
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Communicated by G. Leitmann
This paper is based on research supported by the National Science Foundation under Grant MSM-87-06927.
The author is grateful to Professors G. Leitmann, F. Garofalo, and B. R. Barmish for useful discussions on this topic.
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Corless, M. Guaranteed rates of exponential convergence for uncertain systems. J Optim Theory Appl 64, 481–494 (1990). https://doi.org/10.1007/BF00939420
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DOI: https://doi.org/10.1007/BF00939420