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The Estimation of a Signal Generated by a Dynamical System Modeled by McKean–Vlasov Stochastic Differential Equations Under Sampled Measurements

This paper addresses the problem of optimal H2-filtering for a class of continuous-time linear McKean–Vlasov stochastic differential equations under sampled measurements. The main tool used to solve the filtering problem… Click to show full abstract

This paper addresses the problem of optimal H2-filtering for a class of continuous-time linear McKean–Vlasov stochastic differential equations under sampled measurements. The main tool used to solve the filtering problem is a forward jump matrix linear differential equation with a Riccati-type jumping operator. More specifically, the stabilizing solution of such a jump Riccati-type equation plays a key role.

Keywords: differential equations; sampled measurements; equations sampled; mckean vlasov; vlasov stochastic; stochastic differential

Journal Title: Mathematics
Year Published: 2025

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