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Constrained stabilization via smooth Lyapunov functions |
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| Authors: | F. Blanchini S. Miani |
| Affiliation: | aDipartimento di Matematica e Informatica, Università degli Studi di Udine, Via delle Scienze 208, 33100 Udine, Italy;bDipartimento di Elettronica e Informatica, Università degli Studi di Padova, Via Gradenigo 6/a, 35131 Padova, Italy |
| Abstract: | We consider the problem of stabilizing a dynamic system by means of bounded controls. We show that the largest domain of attraction can be arbitrarily closely approximated by a “smooth” domain of attraction for which we provide an analytic expression. Such an expression allows for the determination of a (non-linear) control law in explicit form. |
| Keywords: | Constrained control Stabilization Lyapunov functions Domain of attraction |
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