The existence and global exponential stability of periodic solution for a neutral coupled system on networks with delays

DOI10.1016/j.amc.2015.04.109zbMath1410.34205OpenAlexW307814875MaRDI QIDQ1659643

Ke Wang, Wenxue Li, Xin-Hong Zhang

Publication date: 22 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.109

zbMATH Keywords

periodic solutionsgraph theoryglobal exponential stabilitycoincidence degree theoryneutral coupled system on networks

Mathematics Subject Classification ID

Applications of graph theory (05C90) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Periodic solutions to functional-differential equations (34K13)

Related Items (8)

A graph-theoretic approach to global input-to-state stability for coupled control systems ⋮ Stabilization problem of stochastic time-varying coupled systems with time delay and feedback control ⋮ The existence and global stability of periodic solutions to coupled oscillators ⋮ Existence and global exponential stability of periodic solutions for coupled control systems on networks with feedback and time delays ⋮ Periodic solutions for complex-valued neural networks of neutral type by combining graph theory with coincidence degree theory ⋮ The stability of stochastic coupled systems with time delays and time-varying coupling structure ⋮ Graph-Theoretic Approach to Exponential Stability of Delayed Coupled Systems on Networks under Periodically Intermittent Control ⋮ A graph-theoretic method to study the existence of periodic solutions for a coupled Rayleigh system via inequality techniques

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