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Averaging of three time scale singularly perturbed control systems

✍ Scribed by Vladimir Gaitsgory; Minh-Tuan Nguyen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
145 KB
Volume
42
Category
Article
ISSN
0167-6911

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✦ Synopsis

We investigate the asymptotic properties of singularly perturbed control systems with three time scales. We apply the averaging method to construct a limiting system for the slowest motion in the form of a di erential inclusion. Su cient conditions for the uniform convergence of the slowest trajectories are given.

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