The second Lyapunov method for time-delay systems

DOI10.1007/978-981-16-6297-3_11OpenAlexW4210601781MaRDI QIDQ2097386

Inessa I. Matveeva, Gennadii V. Demidenko

Publication date: 11 November 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-6297-3_11

zbMATH Keywords

exponential stabilitytime-delay systemsperiodic coefficientsLyapunov-Krasovskii functionalsestimates for solutions

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (1)

ESTIMATES FOR SOLUTIONS FOR ONE MODEL OF POPULATION DYNAMICS WITH DELAY

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The method of Lyapunov functionals for linear difference-differential systems with almost-periodic coefficients
• Asymptotic stability of solutions to a class of linear time-delay systems with periodic coefficients and a large parameter
• On estimates of solutions to systems of differential equations of neutral type with periodic coefficients
• Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients
• Delay differential equations: with applications in population dynamics
• Time-delay systems. Lyapunov functionals and matrices
• On difference differential equations with periodic coefficients
• Differential-difference equations
• Convergence of solutions of the neutral type nonautonomous systems
• Theory of functional differential equations. 2nd ed
• Delay equation analysis of human respiratory stability
• Time-delay systems: an overview of some recent advances and open problems.
• Asymptotic properties of solutions in a model of antibacterial immune response
• Global solvability and estimates of solutions to the Cauchy problem for the retarded functional differential equations that are used to model living systems
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Lyapunov-Floquet representation for differential equations with aftereffect
• Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients
• 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
• Asymptotic properties of solutions to a system describing the spread of Avian influenza
• On the exponential stability of solutions of periodic systems of the neutral type with several delays
• Functional-differential equations in Sobolev spaces and related problems of spectral theory
• Convergence estimates for solutions of linear stationary systems of differential-difference equations with constant delay
• Exponential estimates for time delay systems
• On estimates of solutions in a predator-prey model with two 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
• A FLOQUET THEORY FOR FUNCTIONAL DIFFERENTIAL EQUATION
• Global Asymptotic Behavior of a Chemostat Model with Discrete Delays
• Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients
• On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay
• Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy
• On the Robust Stability of Solutions to Periodic Systems of Neutral Type
• Exponential estimates for retarded time-delay systems: an LMI approach
• Exponential estimates for neutral time-delay systems: an LMI approach
• Estimates of the attraction region for a class of nonlinear time-delay systems
• Applied Delay Differential Equations
• Estimates of solutions to the linear differential equations of neutral type with several delays of the argument
• Estimates of solutions to a class of systems of nonlinear delay differential equations
• On exponential stability of solutions to one class of systems of differential equations of neutral type

This page was built for publication: The second Lyapunov method for time-delay systems