Yuandan Lin, Yuandan Lin and Sontag, Eduardo D. (2015) A universal formula for asymptotic stabilization with bounded controls. International Journal of Electrical and Computer Engineering, 5 (1). pp. 111-118. ISSN 2088-8694
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Abstract
We provide a formula for a stabilizing feedback law using a bounded control, under theassumption that an appropriate control-Lyapunov function is known. Such a feedback,smooth awayfrom the origin and continuous everywhere, is known to exist via Artstein'sTheorem. As in the unbounded-control case treated in a previous note, we provide anexplicit and \universal" formula given by an algebraic function of Lie derivatives. Inparticular, we extend to the bounded case the result that the feedback can be chosenanalytic if the Lyapunov function and the vector elds de ning the system are analytic.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | lyapunov stability, nonlinear systems |
| Subjects: | T Technology > TK Electrical engineering. Electronics Nuclear engineering |
| Divisions: | Electrical Engineering |
| ID Code: | 57683 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 04 Dec 2016 04:07 |
| Last Modified: | 11 Sep 2017 07:08 |
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