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- W1599072307 abstract "An important consequence of the famous Filippoy's Theorem for a control system, states that given a fixed initial point y 0 , and a control u 0 , for any initial point y 1 , it is possible to find control u 1 such that the trajectory associated with (y 1 , u 1 ) approximates the trajectory associated with (y 0 , u 0 ) (with a suitable estimation of exponetial type). The goal of the present paper is to obtain such a result when trajectories of the controlsystem have to fullfill furthermore a given in advance state constraint. The main specificity of our results lies in the fact that u 1 is built from u 0 in a nonanticipative way i.e. at every time t, u 1 (t) depends only values of u 0 on the interval [0,t]. This nonanticipative property is crucial in particular for further applications to differential games." @default.
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- W1599072307 date "2006-10-04" @default.
- W1599072307 modified "2023-10-03" @default.
- W1599072307 title "On a Non anticipative Filippov Theorem for Control Systems with state constraints" @default.
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- W1599072307 doi "https://doi.org/10.1109/cdc.2005.1582164" @default.
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