Robust Stability of Singularly Perturbed Impulsive Systems Under Nonlinear Perturbation

DOI10.1109/TAC.2012.2203029zbMath1369.93457OpenAlexW1966364372MaRDI QIDQ5353083

Wu-Hua Chen, Guo Yuan, Wei Xing Zheng

Publication date: 8 September 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2012.2203029

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Time-scale analysis and singular perturbations in control/observation systems (93C70) Robust stability (93D09)

Related Items (12)

Chattering as a singular problem ⋮ Finite frequency \(H_{\infty}\) filtering for time-delayed singularly perturbed systems ⋮ \(H_\infty\) control of discrete-time singularly perturbed systems via static output feedback ⋮ Exponential stability of singularly perturbed switched systems with all modes being unstable ⋮ Adaptive impulsive observers for nonlinear systems: revisited ⋮ Impulsive synchronisation of singular hybrid coupled networks with time-varying nonlinear perturbation ⋮ Exponential stability of a class of nonlinear singularly perturbed systems with delayed impulses ⋮ Controllability of impulsive singularly perturbed systems and its application to a class of multiplex networks ⋮ Stability of singularly perturbed nonlinear stochastic hybrid systems ⋮ Exponential stability of singularly perturbed systems with mixed impulses ⋮ A novel \(\epsilon\)-dependent Lyapunov function and its application to singularly perturbed systems ⋮ Synchronization for singularity-perturbed complex networks via event-triggered impulsive control

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