Control-Lyapunov function: Difference between revisions

Revision as of 10:16, 3 April 2015

Revision as of 23:48, 9 September 2016

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It may not be easy to find a control-Lyapunov function for a given system, but if we can find one thanks to some ingenuity and luck, then the feedback stabilization problem simplifies considerably, in fact it reduces to solving a static non-linear [[optimization (mathematics)|programming problem]]

:<math>

u^*(x) = \arg\min_uoperatorname*{argmin}_u \nabla V(x) \cdot f(x,u)

</math>

for each state ''x''.