Stability analysis of a general class of singularly perturbed linear hybrid systems

DOI10.1016/j.automatica.2017.12.019zbMath1387.93111arXiv1706.04932OpenAlexW2626444137MaRDI QIDQ1640720

Jamal Daafouz, Jihene Ben Rejeb, Antoine Girard, Irinel-Constantin Morărescu

Publication date: 14 June 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04932

zbMATH Keywords

singular perturbationstability analysisswitched systemsimpulsive systemsdwell-time

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability of control systems (93D99)

Related Items

Exponential stability of singularly perturbed switched systems with all modes being unstable, A study on switched affine system interconnected with fast LTI dynamics, Input/output‐to‐state stability of impulsive switched delay systems, Multi-rate sampled-data composite control of linear singularly perturbed 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, Anti-windup control for nonlinear singularly perturbed switched systems with actuator saturation

Cites Work

• Unnamed Item
• On singular perturbations due to fast actuators in hybrid control systems
• Exponential stability of singularly perturbed switched systems with time delay
• Switched system modeling and robust steering control of the tail end phase in a hot strip mill
• Stability of the solutions of singularly perturbed systems with impulse effect
• A generalization of the method of averaging for systems with two time scales
• Event-triggered control of nonlinear singularly perturbed systems based only on the slow dynamics
• Contraction analysis of switched systems via regularization
• Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
• A unified framework for input-to-state stability in systems with two time scales
• A model of periodic oscillation for genetic regulatory systems
• Input-to-state stability for nonlinear time-varying systems via averaging