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Séminaire informel de théorie des systèmes (ISS)

On bounded solutions of linear SDEs driven by convergent system matrix processes with Hurwitz limits

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11 oct. 2019   11h00 — 12h00

David Levanony Ben-Gurion University of the Negev, Israël

Linear time-varying stochastic differential equations with a.s. continuous, convergent random system matrix processes are considered. We show that given the limit is known to be Hurwitz (i.e. asymptotically stable), the generated state solutions are a.s. bounded. This property is shown to hold by substantiating that, w.p.1, (i) no finite escape time exists and (ii) no divergence to infinity, as t goes to infinity, may occur. We end with an adaptive control application example.

Based on a joint work with Peter E. Caines


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Peter E. Caines responsable
Aditya Mahajan responsable
Shuang Gao responsable

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