Statistical characteristics of attainability set of controllable systems with random coefficients

DOI10.3103/S1066369X14110061zbMath1306.93013MaRDI QIDQ2262943

Yanyan Li

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

differential inclusionsdynamic systemscontrollable systemsstatistically invariant sets

Mathematics Subject Classification ID

Controllability (93B05) Topological dynamics (37B99) Nonlinear systems in control theory (93C10) Stochastic systems in control theory (general) (93E03) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Extension of E. A. Barbashin's and N. N. Krasovskii's stability theorems to controlled dynamical systems
• The space \(\mathrm{clcv}(\mathbb R^{n})\) with the Hausdorff-Bebutov metric and statistically invariant sets of control systems
• Sufficient conditions for the local controllability of systems with random parameters for an arbitrary number of system states
• Invariant and stably invariant sets for differential inclusions
• Estimation of statistical characteristics of attainability sets of controllable systems
• The statistically weak invariant sets of control systems
• Optimization and nonsmooth analysis
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