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Optimal Estimation of a Signal Generated Using a Dynamical System Modeled with McKean-Vlasov Stochastic Differential
Vasile Dragan1,2, Samir Aberkane3,4
1Institute of Mathematics "Simion Stoilow" of the Romanian Academy, P.O. Box 1-764, RO-014700 Bucharest, Romania.
Abstract:
We consider, in this paper, the problem of state estimation for a class of dynamical systems governed via continuous-time McKean-Vlasov stochastic differential equations. The estimation problem is stated and solved under an H2 norm setting. We adopt a Riccati-based approach in order to solve the optimal estimation problem.
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