Optimal practical stabilization and controllability of systems with Markovian jumps

DOI10.1016/S0362-546X(03)00116-0zbMath1031.93154MaRDI QIDQ1400274

D. Massart

Publication date: 13 August 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

controllabilityvector Lyapunov functionHamilton-Jacobi-Bellmannonlinear systems with Markovian jumpsoptimal practical stabilization

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Controllability (93B05) Stabilization of systems by feedback (93D15) Lyapunov and storage functions (93D30) Optimal stochastic control (93E20) Stochastic stability in control theory (93E15)

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Cites Work

• Criteria for practical stability in the \(p\)th mean of nonlinear stochastic systems
• Adaptive nonlinear control without overparametrization
• Sufficient Lyapunov-like conditions for stabilization
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• Stabilization with relaxed controls
• Jump linear quadratic regulator with controlled jump rates
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