For finite-dimensional nonlinear control systems we study the relation between asymptotic null-controllability and control Lyapunov functions. It is shown that control Lyapunov functions (CLFs) may be constructed on the domain of asymptotic null-controllability as viscosity solutions of a first order PDE that generalizes Zubov's equation. The solution is also given as the value function of an optimal control problem from which several regularity results may be obtained. © 2008 Society for Industrial and Applied Mathematics.
Control lyapunov functions and Zubov's method / Camilli, Fabio; L., Gruene; Fabian, Wirth. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 47:1(2008), pp. 301-326. [10.1137/06065129x]
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Titolo: | Control lyapunov functions and Zubov's method | |
Autori: | ||
Data di pubblicazione: | 2008 | |
Rivista: | ||
Citazione: | Control lyapunov functions and Zubov's method / Camilli, Fabio; L., Gruene; Fabian, Wirth. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 47:1(2008), pp. 301-326. [10.1137/06065129x] | |
Handle: | http://hdl.handle.net/11573/43887 | |
Appartiene alla tipologia: | 01a Articolo in rivista |