A converse Lyapunov theorem for almost sure stabilizability
نویسندگان
چکیده
منابع مشابه
A converse Lyapunov theorem for almost sure stabilizability
We prove a converse Lyapunov theorem for almost sure stabilizability of controlled diffusions: given a stochastic system a.s. open loop stabilizable at the origin, we construct a lower semicontinuous positive definite function whose level sets form a local basis of viable neighborhoods of the equilibrium. This result provides, with the direct Lyapunov theorem proved in a companion paper, a comp...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2006
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2006.06.011