Exponential input-to-state stability for coupled van der Pol system driven by a second-order process

DOI10.1016/J.CNSNS.2024.108480MaRDI QIDQ6669793

Huanyu Liu, Xiaohui Ai

Publication date: 22 January 2025

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Model systems in control theory (93Cxx) Stability of control systems (93Dxx)

Cites Work

• Exponential input-to-state stability of stochastic Cohen-Grossberg neural networks with mixed delays
• An analysis of heart rhythm dynamics using a three-coupled oscillator model
• Global exponential stability for stochastic networks of coupled oscillators with variable delay
• There is a theory of heart
• Further results on input-to-state stability for nonlinear systems with delayed feedbacks
• The concept of `exponential input to state stability' for stochastic systems and applications to feedback stabilization
• Computational biology of propagation in excitable media models of cardiac tissue
• On input-to-state stability for stochastic coupled control systems on networks
• The stability of stochastic coupled systems with time delays and time-varying coupling structure
• Small-gain theorem for ISS systems and applications
• Generalized exponential input-to-state stability of nonlinear systems with time delay
• Exponential stability of stochastic complex networks with multi-weights based on graph theory
• Complex networks: structure and dynamics
• Exponential input-to-state stability of delay Korteweg-de Vries-Burgers equations
• Strange attractors and the origin of chaos
• Nonlinear dynamics and chaos
• Stability Criteria of Random Nonlinear Systems and Their Applications
• Improved Razumikhin-Type Theorem for Input-To-State Stability of Nonlinear Time-Delay Systems
• BIFURCATIONS IN A DISCONTINUOUS CIRCLE MAP: A THEORY FOR A CHAOTIC CARDIAC ARRHYTHMIA
• New characterizations of input-to-state stability
• Smooth stabilization implies coprime factorization
• New noise‐to‐state stability and instability criteria for random nonlinear systems
• Razumikhin method to global exponential stability for coupled neutral stochastic delayed systems on networks
• A second order differential equation with singular solutions
• Noise-to-state practical stability and stabilization of random neural networks

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