Stability criteria for the linear system [Xdot](t) + A(t)X(t—τ) = 0 and an application to a non-linear system
From MaRDI portal
Publication:3491440
DOI10.1080/00207729008910503zbMath0708.93071OpenAlexW2025106897MaRDI QIDQ3491440
Publication date: 1990
Published in: International Journal of Systems Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207729008910503
Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Control/observation systems governed by ordinary differential equations (93C15)
Related Items
Degenerate Lyapunov functionals of a well-known prey–predator model with discrete delays, Stability of Lotka-Volterra system, The effect of delays on the permanence for Lotka-Volterra systems, Permanence and global attractivity for competitive Lotka–Volterra systems with delay, Multi-condition of stability for nonlinear stochastic non-autonomous delay differential equation, Global attractivity of non-autonomous Lotka-Volterra competition system without instantaneous negative feedback., Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals, Necessary-sufficient conditions for permanence and extinction in Lotka-Volterra system with distributed delays, Stability of some nonlinear systems with delay including populations systems, \({3/2}\)-type criteria for global attractivity of Lotka--Volterra competition system without instantaneous negative feedbacks
Cites Work
- A Liapunov functional for a matrix neutral difference-differential equation with one delay
- Asymptotic behaviour an d exponential stability criteria for differential delay equations
- Liapunov-Razumikhin functions and an invariance principle for functional differential equations
- On the existence of simple Liapunov functions for linear retarded difference-differential equations
- Time delays and chaos in two competing species
- A Liapunov functional for a matrix difference-differential equation
- The uniform asymptotic stability of certain neutral differential- difference equations
- On the stability for the delay-differential equation \(\dot x(t)=- a(t)f(x(t-r(t)))\)
- Asymptotic stability for one dimensional differential-delay equations
- Stability in \(n\)-dimensional differential-delay equations
- A Method and New Results for Stability and Instability of Autonomous Functional Differential Equations
- Some New Results and Problems in the Theory of Differential-Delay Equations
- Functional differential equations
