Existence of Lyapunov-Krasovskii functionals for stochastic functional differential Ito-Skorokhod equations under the condition of solutions' stability on probability with finite aftereffect

DOI10.1007/S10559-018-0099-8zbMath1411.34111OpenAlexW2900700526WikidataQ128903441 ScholiaQ128903441MaRDI QIDQ1735321

I. V. Yurchenko, V. K. Yasyns'kyi

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.1007/s10559-018-0099-8

zbMATH Keywords

stabilityaftereffectLyapunov-Krasovskii functionalssystems of random structure

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (1)

Mean-square stability and instability criteria for the Gikhman-Ito stochastic diffusion functional differential systems subject to external disturbances of the type of random variables

Cites Work

• Stability of self-adjusting stochastic dynamic systems with finite aftereffect and reference model
• Stability of dynamic systems with aftereffect under Markov perturbations
• On the stability of systems with random parameters
• Stability of an autonomous dynamic system with fast Markov switching
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