Lyapunov stability analysis for nonlinear systems with state-dependent state delay

DOI10.1016/j.automatica.2019.108674zbMath1430.93159OpenAlexW2988404604WikidataQ126802215 ScholiaQ126802215MaRDI QIDQ2288681

Xiaodi Li, Xueyan Yang

Publication date: 20 January 2020

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2019.108674

zbMATH Keywords

Lyapunov stabilityLyapunov exponentmemoryless controlstate-dependent state delaysubmarine positioning systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Delay control/observation systems (93C43) Exponential stability (93D23)

Related Items (17)

A note on asymptotic stability of semilinear thermoelastic system ⋮ Asymptotic stability of fractional order (1,2 stochastic delay differential equations in Banach spaces] ⋮ Simultaneous exponential stabilization for stochastic port-controlled Hamiltonian systems with actuator saturations, fading channels and delays ⋮ Uniqueness of solutions and linearized stability for impulsive differential equations with state-dependent delay ⋮ Stability analysis of a class of neural networks with state-dependent state delay ⋮ Hidden Markov model-based asynchronous quantized sampled-data control for fuzzy nonlinear Markov jump systems ⋮ Finite-time stability of state-dependent delayed systems and application to coupled neural networks ⋮ Impulsive control for attitude stabilization in the presence of unknown bounded external disturbances ⋮ New feedback control techniques of quaternion fuzzy neural networks with time‐varying delay ⋮ Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: the case of Hopf bifurcation ⋮ Input-to-state stability and no-inputs stabilization of delayed feedback chaotic financial system involved in open and closed economy ⋮ Uniform stability of nonlinear systems with state-dependent delay ⋮ Switching mechanism-based event-triggered fuzzy adaptive control with prescribed performance for MIMO nonlinear systems ⋮ Composite control with observers for a class of stochastic systems with multiple disturbances ⋮ Design of the integrated AFS and DYC scheme for vehicles via FTSM and SOSM techniques ⋮ Some alternative derivations of Craig's formula ⋮ Fixed-time control of nonlinear discrete-time systems with time-varying delay and uncertain parameters: state and output feedback approaches

Cites Work

• Unnamed Item
• Pseudo-predictor feedback stabilization of linear systems with time-varying input delays
• Stability of nonlinear differential systems with state-dependent delayed impulses
• Linearized stability for a class of neutral functional differential equations with state-dependent delays
• Boundary layer phenomena for differential-delay equations with state- dependent time lags. I
• Introduction to functional differential equations
• Delay effects on stability. A robust control approach
• Global stabilization of discrete-time multiple integrators with bounded and delayed feedback
• Exponential stability of a state-dependent delay system
• Lyapunov tools for predictor feedbacks for delay systems: inverse optimality and robustness to delay mismatch
• Stabilization of Delay Systems: Delay-Dependent Impulsive Control
• Stability Crossing Curves of Shifted Gamma-Distributed Delay Systems
• Exponential Stability of Integral Delay Systems With a Class of Analytic Kernels
• Compensation of State-Dependent Input Delay for Nonlinear Systems
• Stability of time-delay systems

This page was built for publication: Lyapunov stability analysis for nonlinear systems with state-dependent state delay