Maximum Lyapunov exponents and stability criteria of linear systems with variable delay

DOI10.1016/j.jappmathmech.2015.04.011zbMath1432.34095OpenAlexW2047112849MaRDI QIDQ2011408

Alexandr A. Zevin

Publication date: 7 December 2019

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2015.04.011

zbMATH Keywords

bounded delayfirst-order linear differential equationmaximum Lyapunov exponentMyshkis problem

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stability theory of functional-differential equations (34K20)

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Cites Work

• The necessary and sufficient conditions for the stability of linear systems with an arbitrary delay
• Time-delay systems: an overview of some recent advances and open problems.
• Two-sided bounds for the largest Lyapunov exponent and exponential stability criteria for nonlinear systems with arbitrary delays
• Stability of solutions to differential equations with several variable delays. III
• Criteria for the exponential stability of nonlinear integral and differential equations with delay
• Stability in \(n\)-dimensional differential-delay equations
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