Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients

DOI10.1134/S0965542520040120zbMath1469.34106OpenAlexW3034775598WikidataQ115525987 ScholiaQ115525987MaRDI QIDQ2207537

Inessa I. Matveeva

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520040120

zbMATH Keywords

exponential stabilityLyapunov-Krasovskii functionalestimates of solutionssystems of neutral type

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40)

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Cites Work

• On estimates of solutions to systems of differential equations of neutral type with periodic coefficients
• Time-delay systems. Lyapunov functionals and matrices
• The Lyapunov functionals method in stability problems for functional differential equations
• Theory of functional differential equations. 2nd ed
• Tutorial on Lyapunov-based methods for time-delay systems
• Estimates for solutions to neutral differential equations with periodic coefficients of linear terms
• On stability of solutions to neutral type systems
• On exponential stability of solutions to periodic neutral-type systems
• On the exponential stability of solutions of periodic systems of the neutral type with several delays
• Estimates for solutions to a class of time-delay systems of neutral type with periodic coefficients and several delays
• Stability, Control, and Computation for Time-Delay Systems
• Nonoscillation Theory of Functional Differential Equations with Applications
• Stability of Neutral Functional Differential Equations
• Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients
• Estimates of solutions to a class of systems of nonlinear delay differential equations
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