Stabilization of linear stochastic systems with state and control dependent perturbations

DOI10.1016/0021-8928(79)90151-5zbMath0445.70017OpenAlexW1557682609MaRDI QIDQ1145518

L. B. Ryashko

Publication date: 1979

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(79)90151-5

zbMATH Keywords

stabilizationWiener processeslinear stochastic systemsstate and control dependent perturbations

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Stochastic stability in control theory (93E15)

Related Items (5)

The stability of stochastically perturbed orbital motions ⋮ Stabilization of linear systems with multiplicative perturbations and incomplete information ⋮ Spectral criterion of stochastic stability for invariant manifolds ⋮ Mean square stabilisation of complex oscillatory regimes in nonlinear stochastic systems ⋮ Stability and stabilization of autonomous system orbits under stochastic perturbations

Cites Work

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• Stability and stabilization of periodic motions of autonomous systems
• Feedback stabilizability for stochastic systems with state and control dependent noise
• Optimal stabilization of linear stochastic systems
• Stabilization of a linear stochastic system subjected to White noise - type parametric disturbances
• Problems of control and stabilization in dynamical systems
• Algebraic criterion for stochastic stability of linear systems with parametric action of the white noise type
• Numerical solution of the state dependent noise problem
• Criterion of existence of an optimal control for a class of linear stochastic systems
• Optimal Stationary Control with State Control Dependent Noise

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