H   ∞   Control for Continuous‐Time Mean‐Field Stochastic Systems | Zendy

Ma Limin | Zendy; Zhang Tianliang | Zendy; Zhang Weihai | Zendy

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H ∞ Control for Continuous‐Time Mean‐Field Stochastic Systems

Author(s) -

Ma Limin,

Zhang Tianliang,

Zhang Weihai

Publication year - 2016

Publication title -

asian journal of control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.769

H-Index - 53

eISSN - 1934-6093

pISSN - 1561-8625

DOI - 10.1002/asjc.1290

Subject(s) - stochastic differential equation , mathematics , bounded function , lemma (botany) , nonlinear system , control theory (sociology) , controller (irrigation) , stochastic control , mean field theory , field (mathematics) , state (computer science) , noise (video) , control (management) , mathematical analysis , computer science , pure mathematics , mathematical optimization , optimal control , physics , algorithm , ecology , poaceae , quantum mechanics , artificial intelligence , agronomy , image (mathematics) , biology

An H ∞ ‐type control is considered for mean‐field stochastic differential equations (SDEs) in this paper. A stochastic bounded real lemma (SBRL) is proved for mean‐field stochastic continuous‐time systems with state‐ and disturbance‐dependent noise. Based on SBRL, a sufficient condition is given for the existence of a stabilizing H ∞ controller in terms of coupled nonlinear matrix inequalities.

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