Stability in impulsive systems with Markov perturbations in averaging scheme. I: Averaging principle for impulsive Markov systems

DOI10.1007/S10559-010-9279-XzbMath1291.34098OpenAlexW2036439405MaRDI QIDQ2247821

Igor V. Malyk, Ye. F. Tsarkov, V. K. Yasinskij

Publication date: 30 June 2014

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

Full work available at URL: https://doi.org/10.1007/s10559-010-9279-x

zbMATH Keywords

small parameterstochastic systemnormalized solutionimpulsive Markov system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05)

Related Items (2)

Optimal control of stochastic dynamic systems of a random structure with Poisson switches and Markov switching ⋮ Stability in impulsive systems with Markov perturbations in averaging scheme. III: Weak convergence of solutions of impulsive systems

Cites Work

• Stability and Control of Stochastic Systems with Wide-band Noise Disturbances. I
• Stability of an autonomous dynamic system with fast Markov switching
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