On correctness of probabilistic stabilization

DOI10.1134/S0005117907100104zbMath1146.93034OpenAlexW2054795710MaRDI QIDQ927576

N. N. Krasovskii, A. N. Kotel'nikova

Publication date: 9 June 2008

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117907100104

zbMATH Keywords

Lyapunov stability theorystochastic noisesfeedback stabilization with probabilistic actions

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stochastic stability in control theory (93E15) Ordinary differential equations and systems with randomness (34F05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Nikolai Nikolaevich Krasovskii (on the 90th anniversary of his birth)

Cites Work

• Introduction to the mathematical theory of control processes. Vol I: Linear equations and quadratic criteria
• Stability and positive supermartingales
• The existence of value in differential games of pursuit and evasion
• Stochastic stability and control
• TIME OPTIMAL CONTROL SYSTEMS
• Stability Theory and Adjoint Operators for Linear Differential-Difference Equations
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