Stability in part of the variables of ``partial equilibria of systems with aftereffect

DOI10.1134/S0001434614090223zbMath1320.34104MaRDI QIDQ2343887

Yu. G. Martyshenko, V. I. Vorotnikov

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

``partial equilibriumfunctional differential equations with aftereffectstability in part of the variables

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (10)

On partial stability and detectability of functional differential systems with aftereffect ⋮ Lyapunov vector functions and partial boundedness of solutions with partially controlled initial conditions ⋮ Ultimate boundedness in the sense of Poisson of solutions to systems of differential equations and Lyapunov functions ⋮ Uniform boundedness in the sense of Poisson of solutions of systems of differential equations and Lyapunov vector functions ⋮ Higher-order derivatives of Lyapunov functions and partial boundedness of solutions with partially controllable initial conditions ⋮ Lyapunov functions, Krasnosel'skii canonical domains, and the existence of Poisson bounded solutions ⋮ Vector Lyapunov functions and ultimate Poisson boundedness of solutions of systems of differential equations ⋮ Poisson total boundedness of solutions of systems of differential equations and Lyapunov vector functions ⋮ Higher Lyapunov functions derivatives and total Poisson boundedness of solutions ⋮ On the partial stability in probability of nonlinear stochastic systems

Cites Work

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• On partial stability theory of nonlinear dynamic systems
• Global output stability for systems described by retarded functional differential equations: Lyapunov characterizations
• Theory of functional differential equations. 2nd ed
• On the stability of invariant sets of functional differential equations.
• On the partial equiasymptotic stability in functional differential equations
• Uniform Asymptotic Stability in Functional Differential Equations
• Weak Converse Lyapunov Theorems and Control-Lyapunov Functions
• A Smooth Converse Lyapunov Theorem for Robust Stability

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