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EnglishFor 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.
http://hdl.handle.net/11573/43887| Titolo: | Control lyapunov functions and Zubov's method |
| Autori interni: | CAMILLI, FABIO |
| Data di pubblicazione: | 2008 |
| Rivista: | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
| Abstract: | 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. |
| Handle: | http://hdl.handle.net/11573/43887 |
| Appare nelle tipologie: | 01.a Pubblicazione su Rivista |
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