Stability of stochastic systems of random structure with Markov switchings and perturbations

DOI10.1007/S10559-017-9959-XzbMath1383.93092OpenAlexW2737597388MaRDI QIDQ1709461

V. K. Yasinskij, Taras O. Lukashiv

Publication date: 5 April 2018

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-017-9959-x

zbMATH Keywords

exponential stabilityasymptotic stabilitystability in probabilitystochastic dynamic systemroot-mean-square stability

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15)

Cites Work

• Stability of stochastic dynamic random-structure systems with aftereffect and Markov switchings
• Behavior of the second moment of the solution to the autonomous stochastic linear partial differential equation with random parameters in the right-hand side
• Lyapunov function method for investigation of stability of stochastic Itô random-structure systems with impulse Markov switchings. I: General theorems on the stability of stochastic impulse systems
• Lyapunov function method for investigation of stability of stochastic Ito random-structure systems with impulse Markov switchings. II: First-approximation stability of stochastic impulse systems with Markov parameters
• Stability in the first approximation of random-structure diffusion systems with aftereffect and external Markov switchings
• THE SPACE OF EXITS OF A MARKOV PROCESS
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