Generalized Lyapunov approach for functional differential inclusions

DOI10.1016/j.automatica.2019.108740zbMath1440.93112OpenAlexW2995951692WikidataQ126568987 ScholiaQ126568987MaRDI QIDQ2173921

Zuowei Cai, Li-Hong Huang

Publication date: 17 April 2020

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2019.108740

zbMATH Keywords

Filippov solutiongeneralized Halanay inequalitiesfunctional differential inclusionsuniformly asymptotic stability (UAS)uniformly ultimate boundedness (UUB)

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Asymptotic stability in control theory (93D20) Functional-differential inclusions (34K09)

Related Items (7)

Fixed-time stabilization of IT-2 T-S fuzzy control systems with discontinuous interconnections: indefinite derivative Lyapunov method ⋮ Stability and finite/fixed-time attractivity of time-delayed Filippov system: application to switched neural networks ⋮ New fixed‐time synchronization control of discontinuous inertial neural networks via indefinite Lyapunov‐Krasovskii functional method ⋮ Effects of mixed time delays and \(D\) operators on fixed-time synchronization of discontinuous neutral-type neural networks ⋮ Robust adaptive dynamic memory‐event‐triggered attitude control for nonlinear multi‐UAVs resist actuator hysteresis ⋮ Fixed-time synchronization of delayed impulsive inertial neural networks with discontinuous activation functions via indefinite LKF method ⋮ New results on global stability analysis of discontinuous Cohen–Grossberg neural networks of neutral-type in Hale's form

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Razumikhin-type theorems for hybrid system with memory
• New generalized Halanay inequalities with applications to stability of nonlinear non-autonomous time-delay systems
• Generalized Lyapunov method for discontinuous systems
• Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
• On the stability of functional-differential inclusions with the use of invariantly differentiable Lyapunov functionals
• Monotone viable trajectories for functional differential inclusions
• Theory of functional differential equations. 2nd ed
• Functional differential inclusions and dynamic behaviors for memristor-based BAM neural networks with time-varying delays
• Generalized Lyapunov-Razumikhin method for retarded differential inclusions: applications to discontinuous neural networks
• Piecewise-smooth dynamical systems. Theory and applications
• Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations
• Stability Theorems for Delay Differential Inclusions
• Improved Razumikhin-Type Theorem for Input-To-State Stability of Nonlinear Time-Delay Systems
• Topological properties of the sets of solutions for functional differential inclusions
• Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
• Continuous and discrete Halanay-type inequalities
• Dissipativity of θ-methods for a class of nonlinear neutral delay integro-differential equations
• On Saturation, Discontinuities, and Delays, in iISS and ISS Feedback Control Redesign
• Discontinuous dynamical systems

This page was built for publication: Generalized Lyapunov approach for functional differential inclusions