Stability properties for functional differential equations with infinite delay
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Publication:595093
DOI10.2748/tmj/1178228954zbMath0526.34060OpenAlexW1978155336MaRDI QIDQ595093
Publication date: 1983
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178228954
Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)
Related Items (17)
Uniform asymptotic stability in perturbed differential equations ⋮ Output feedback stabilization of linear systems with infinite distributed input and output delays ⋮ Method of limiting equations for the stability analysis of equations with infinite delay in the Carathéodory conditions. I ⋮ Predictor feedback and integrator backstepping of linear systems with distributed unbounded delays ⋮ On employment of semidefinite functions in stability of delayed equations ⋮ Stabilization of linear systems cascaded with a chain of infinite-delayed integrators ⋮ Development of the direct Lyapunov method for functional-differential equations with infinite delay ⋮ Lyapunov functional method in the stability problem of Volterra integro-differential equations with infinite delay ⋮ On the principle of reduction for the nonlinear delay systems ⋮ Method of limiting equations for the stability analysis of equations with infinite delay in the Carathéodory conditions. II ⋮ Stability analysis and predictor feedback control for systems with unbounded delays ⋮ On the Stability and Stabilization Problems of Volterra Integro-Differential Equations ⋮ Families of Lyapunov-Krasovskiĭ functionals and stability for functional-differential equations ⋮ The Lyapunov functionals method in stability problems for functional differential equations ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay ⋮ Lyapunov characterizations on input-to-state stability of nonlinear systems with infinite delays ⋮ Perturbation theorems for functional differential equations with infinite delay via limiting equations
Cites Work
- Stability theory and the existence of periodic solutions and almost periodic solutions
- Uniform asymptotic stability via the limiting equations
- Almost periodic solutions and asymptotic stability
- Dynamical systems and stability
- Uniformly asymptotic stability and total stability
- Limiting equations in the stability problem
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