Stability of time-delay systems via the Razumikhin method

DOI10.1007/s40590-022-00425-8zbMath1487.45006OpenAlexW4220798673MaRDI QIDQ2116820

Osman Tunç, John R. Graef, Cemil Tunç

Publication date: 18 March 2022

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-022-00425-8

zbMATH Keywords

instabilityLyapunov functiondelayboundednessexponential stabilityasymptotic stabilitysystem of integro-differential equationsRazumikhin method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory of functional-differential equations (34K20) Stability theory for integral equations (45M10)

Related Items (2)

Solution estimates to Caputo proportional fractional derivative delay integro-differential equations ⋮ On the fundamental qualitative properties of integro-delay differential equations

Cites Work

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• Razumikhin and Krasovskii stability theorems for time-varying time-delay systems
• Theory of functional differential equations. 2nd ed
• Introduction to functional differential equations
• New results on the stability, integrability and boundedness in Volterra integro-differential equations
• A new integral inequality and application to stability of time-delay systems
• The application of Lyapunov's method to problems in the stability of systems with delay
• Volterra integral and differential equations

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