Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application
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Publication:1713362
DOI10.3934/mcrf.2018014zbMath1405.93233OpenAlexW2784560816MaRDI QIDQ1713362
Publication date: 24 January 2019
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2018014
Pontryagin-type maximum principle\(V\)-transposition solutionoperator-valued backward stochastic Lyapunov equationrelaxed transposition solution
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Optimal stochastic control (93E20) Control/observation systems governed by ordinary differential equations (93C15)
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Cites Work
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- Representation of Itô integrals by Lebesgue/Bochner integrals
- Well-posedness of backward stochastic differential equations with general filtration
- Transposition method for backward stochastic evolution equations revisited, and its application
- Stochastic integration in UMD Banach spaces
- $\gamma$-Radonifying operators -- a survey
- Well Posedness of Operator Valued Backward Stochastic Riccati Equations in Infinite Dimensional Spaces
- On the Backward Stochastic Riccati Equation in Infinite Dimensions
- A Maximum Principle for Optimal Control of Stochastic Evolution Equations
- General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions
- Stochastic maximum principle for optimal control of SPDEs
- Stochastic Equations in Infinite Dimensions