Stability of sampled-data piecewise affine systems: a time-delay approach

DOI10.1016/J.AUTOMATICA.2009.04.025zbMath1175.93146OpenAlexW2125878015MaRDI QIDQ1036664

Behzad Samadi, Luis Henrique Rodrigues

Publication date: 13 November 2009

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://spectrum.library.concordia.ca/974873/1/sampled_data_final_Dec26.pdf

zbMATH Keywords

Lyapunov stabilitysampled-data systemspiecewise affine systems

Mathematics Subject Classification ID

Feedback control (93B52) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Sampled-data control/observation systems (93C57)

Related Items (7)

Passive fault-tolerant control of discrete time piecewise affine systems against actuator faults ⋮ The exponential stability of BAM neural networks with leakage time-varying delays and sampled-data state feedback input ⋮ Stochastic piecewise affine control with application to pitch control of helicopter ⋮ Asymptotic stability of sampled-data piecewise affine slab systems ⋮ Robust nonlinear sampled-data system analysis based on Fridman's method and S-procedure ⋮ Active fault tolerant control of piecewise affine systems with reference tracking and input constraints ⋮ LMI-based robust stabilization of a class of input-constrained uncertain nonlinear systems with application to a helicopter model

Cites Work

• New stability criteria for linear systems with interval time-varying delay
• Introduction to functional differential equations
• Piecewise linear control systems. A computational approach
• Optimal sampled-data control systems
• Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization
• Open- and closed-loop dissipation inequalities under sampling and controller emulation
• Stability of sampled-data piecewise-affine systems under state feedback
• Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
• Piecewise linear quadratic optimal control

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