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

DOI10.1007/s10559-009-9109-1zbMath1203.93203OpenAlexW2027764252MaRDI QIDQ1040412

J. Blot

Publication date: 24 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10559-009-9109-1

zbMATH Keywords

exponential stabilityasymptotic stabilityautonomous systemstability in probabilitystochastic dynamic systemasymptotic stability in probabilityp-stability

Mathematics Subject Classification ID

Related Items (3)

Optimal control of stochastic dynamic systems of a random structure with Poisson switches and Markov switching ⋮ Stability of stochastic systems of random structure with Markov switchings and perturbations ⋮ One form of Lyapunov operator for stochastic dynamic system with Markov parameters

Cites Work

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• Analysis of exponential stability of a linear stochastic oscillator under small diffusive disturbances
• Stability of an autonomous dynamic system with fast Markov switching

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