Effects of small delays on stability of singularly perturbed systems
From MaRDI portal
Publication:1614313
DOI10.1016/S0005-1098(01)00265-5zbMath1014.93025MaRDI QIDQ1614313
Publication date: 5 September 2002
Published in: Automatica (Search for Journal in Brave)
Linear inequalities of matrices (15A39) Control/observation systems governed by functional-differential equations (93C23) Time-scale analysis and singular perturbations in control/observation systems (93C70) Robust stability (93D09)
Related Items (48)
Delay-dependent stability and H ∞ control: Constant and time-varying delays ⋮ Asymptotical stability and stabilisation of probabilistic Boolean networks subject to function perturbation ⋮ Local stability and Hopf bifurcation of two-dimensional nonlinear descriptor system ⋮ Sampled-data synchronization and state estimation for nonlinear singularly perturbed complex networks with time-delays ⋮ Sliding mode control in the presence of input delay: a singular perturbation approach ⋮ Delay-dependent passivity and passification for uncertain singularly perturbed Markovian jump systems with time-varying delay ⋮ Finite frequency \(H_{\infty}\) filtering for time-delayed singularly perturbed systems ⋮ Exponential stability of singularly perturbed switched systems with all modes being unstable ⋮ Reachable set estimation and controller design for discrete‐time singularly perturbed systems with time‐varying delay ⋮ Lie-brackets-based averaging of affine systems via a time-delay approach ⋮ Finite-time sliding mode control for singularly perturbed PDE systems ⋮ LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter ⋮ Event-triggered and self-triggered impulsive control for two-time-scale systems ⋮ Bifurcation Analysis and Spatiotemporal Patterns in Unidirectionally Delay-Coupled Vibratory Gyroscopes ⋮ Averaging of linear systems with almost periodic coefficients: a time-delay approach ⋮ A sliding mode approach to stabilization of nonlinear Markovian jump singularly perturbed systems ⋮ Stability bound analysis and synthesis for singularly perturbed systems with time-varying delay ⋮ Finite frequency H∞ control of singularly perturbed Euler‐Lagrange systems: An artificial delay approach ⋮ Modeling and controller design for complex flexible nonlinear systems via a fuzzy singularly perturbed approach ⋮ Sliding mode control of singularly perturbed Markovian jump delayed systems with nonlinearity ⋮ \(H_\infty\) control for T-S fuzzy singularly perturbed switched systems ⋮ Asymptotic stability and stabilization for a class of nonlinear descriptor systems with delay ⋮ Singularly perturbed control law for linear time-invariant delay SISO systems ⋮ Exponential stability of singularly perturbed switched systems with time delay ⋮ \(H_{\infty}\) output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach ⋮ Stabilizing feedbacks for imperfectly known, singularly perturbed nonlinear systems with discrete and distributed delays ⋮ New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems ⋮ Projective synchronization of different chaotic time-delayed neural networks based on integral sliding mode controller ⋮ Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect ⋮ Robust sampled-dataH∞control of uncertain singularly perturbed systems using time-dependent Lyapunov functionals ⋮ \(H_\infty\) output feedback control design for uncertain fuzzy systems with multiple time scales: an LMI approach ⋮ Discussion on: ``\(H_\infty\) output feedback control design for uncertain fuzzy systems with multiple time scales: an LMI approach ⋮ Singularly perturbed implicit control law for linear time-varying delay MIMO systems ⋮ Exponential Stability of Singularly Perturbed Systems with Time Delay ⋮ Design of \(H_\infty \) filter for Markov jumping linear systems with non-accessible mode information ⋮ Exponential stability and exponential stabilization of singularly perturbed stochastic systems with time-varying delay ⋮ Exponential stability of singularly perturbed systems with mixed impulses ⋮ A novel \(\epsilon\)-dependent Lyapunov function and its application to singularly perturbed systems ⋮ Finite-time stability and stabilization of nonlinear singular time-delay systems via Hamiltonian method ⋮ Geometric analysis of synchronization in neuronal networks with global inhibition and coupling delays ⋮ \(H^{\infty}\) control for fuzzy singularly perturbed systems ⋮ A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems ⋮ Synchronization for linear singularly perturbed complex networks with coupling delays ⋮ New results on static output feedbackH ∞ control for fuzzy singularly perturbed systems: a linear matrix inequality approach ⋮ Stability of linear descriptor systems with delay: a Lyapunov-based approach ⋮ Exponential stability of singularly perturbed systems with time delay and uncertainties ⋮ Exponential stability and stabilization for nonlinear descriptor systems with discrete and distributed delays ⋮ Anti-windup control for nonlinear singularly perturbed switched systems with actuator saturation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(H_{\infty}\)-state-feedback control of linear systems with small state delay
- Delay-dependent robust \({\mathcal H}_\infty\) of uncertain linear state-delayed systems
- Introduction to functional differential equations
- Infinite-horizon differential games of singularly perturbed systems: A unified approach
- Destabilizing effects of small time delays on feedback-controlled descriptor systems
- \(H_\infty\) control of linear singularly perturbed systems with small state delay
- Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
- Criteria for robust stability and stabilization of uncertain linear systems with state delay
- The stable, center-stable, center, center-unstable, unstable manifolds
- Critical cases for neutral functional differential equations
- Multivariable singularly perturbed feedback systems with time delay
- Robust exponential stability of uncertain systems with time-varying delays
- On the Liapunov-Krasovskii functionals for stability analysis of linear delay systems
This page was built for publication: Effects of small delays on stability of singularly perturbed systems
