Stability Properties of Systems of Linear Stochastic Differential Equations with Random Coefficients
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Publication:4628336
DOI10.1137/18M1182759zbMath1415.34101arXiv1804.09349OpenAlexW3105655021MaRDI QIDQ4628336
Adrian N. Bishop, Pierre Del Moral
Publication date: 20 March 2019
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.09349
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Ordinary differential equations and systems with randomness (34F05)
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Cites Work
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- Random differential equations as models of ecosystems: Monte Carlo simulation approach
- Random differential equations in science and engineering
- Dichotomies in stability theory
- On the stability and the uniform propagation of chaos properties of ensemble Kalman-Bucy filters
- Perturbations and projections of Kalman-Bucy semigroups
- On one-dimensional Riccati diffusions
- Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times
- Random integral equations with applications to life sciences and engineering
- On the stability of slowly time-varying linear systems
- A perturbation analysis of stochastic matrix Riccati diffusions
- Linear quadratic optimal control of conditional McKean-Vlasov equation with random coefficients and applications
- Uniform observability of hidden Markov models and filter stability for unstable signals
- A survey of stability of stochastic systems
- Stability of some linear stochastic systems
- Stochastic stability and control
- On the stability of systems with random parameters
- Criterion for the convergence of the solution of the Riccati differential equation
- Stochastic Hamilton–Jacobi–Bellman Equations
- Linear Quadratic Optimal Stochastic Control with Random Coefficients
- Stability of linear differential equations with random coefficients
- Some Averaging and Stability Results for Random Differential Equations
- Stability of Recursive Stochastic Tracking Algorithms
- On the Stability of Linear Stochastic Differential Equations
- General Linear Quadratic Optimal Stochastic Control Problems with Random Coefficients: Linear Stochastic Hamilton Systems and Backward Stochastic Riccati Equations
- Consensus and Cooperation in Networked Multi-Agent Systems
- On the Stability of Kalman--Bucy Diffusion Processes
- Ergodicity for Infinite Dimensional Systems
- Dynamic Programming for General Linear Quadratic Optimal Stochastic Control with Random Coefficients
- Stabilization of continuous-time jump linear systems
- Stability of multiagent systems with time-dependent communication links
- On the Stability of Some Linear Nonautonomous Random Systems
- Optimal Stabilization Policies for Deterministic and Stochastic Linear Economic Systems
- A contribution to matrix quadratic equations
- Mean-Variance Portfolio Selection with Random Parameters in a Complete Market
- Products of Indecomposable, Aperiodic, Stochastic Matrices
- On the exponential solution of differential equations for a linear operator
- An explicit Floquet-type representation of Riccati aperiodic exponential semigroups
- Stochastic Equations in Infinite Dimensions