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Averaging of three time scale singularly perturbed control systems |
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| Authors: | Vladimir Gaitsgory Minh-Tuan Nguyen |
| Affiliation: | School of Mathematics, The Mawson Lakes Campus, University of South Australia, Mawson Lakes, SA 5095, Australia |
| Abstract: | 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 differential inclusion. Sufficient conditions for the uniform convergence of the slowest trajectories are given. |
| Keywords: | Averaging method Differential inclusion Convex analysis Hausdorff metric Multi-time scales Nonlinear control systems Singular perturbation |
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