On the stability of a class of nonlinear hybrid systems

DOI10.1016/J.NA.2006.01.031zbMath1116.93042OpenAlexW2003663467MaRDI QIDQ854130

Tarek Ahmed-Ali, Laurent Burlion, Françoise Lamnabhi-Lagarrigue

Publication date: 7 December 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.01.031

zbMATH Keywords

discretizationordinary differential equationsdifference equationsnonlinear sampled data feedback control systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Stability analysis of some classes of input-affine nonlinear systems with aperiodic sampled-data control ⋮ Sampled-data emulation of dynamic output feedback controllers for nonlinear time-delay systems ⋮ Stability analysis of bilinear systems under aperiodic sampled-data control ⋮ Recent developments on the stability of systems with aperiodic sampling: an overview ⋮ Exponential input-to-state stability of globally Lipschitz time-delay systems under sampled-data noisy output feedback and actuation disturbances ⋮ On Stability Preservation under Sampling and Approximation of Feedbacks for Retarded Systems

Cites Work

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• Estimates of asymptotic trajectory bounds in digital implementations of linear feedback control systems
• Quantization and overflow effects in digital implementations of linear dynamic controllers
• Stability theory for hybrid dynamical systems
• Stability analysis of systems with impulse effects
• Quantizer effects on steady-state error specifications of digital feedback control systems

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