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The proportional plus-derivative control of chaotic system is concerned. Controller is firstly designed and then the controlled stochastic forced brusselator is transformed into its equivalent deterministic one by the Chebyshev polynomial approximation. Finally, the chaotic motions of forced brusselator can be successfully converted to the stable lower periodic orbits by proportional plus-derivative...
In this paper, the optimal filtering problem for linear system states over polynomial observations is treated proceeding from the general expression for the stochastic Ito differential of the optimal estimate and the error variance. As a result, the Ito differentials for the optimal estimate and error variance corresponding to the stated filtering problem are first derived. The procedure for obtaining...
We develop a new method for safety verification of stochastic systems based on functions of states termed barrier certificates. Given a stochastic continuous or hybrid system and sets of initial and unsafe states, our method computes an upper bound on the probability that a trajectory of the system reaches the unsafe set, a bound whose validity is proven by the existence of a barrier certificate....
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