Stabilization bound of discrete two-time-scale systems

DOI10.1016/0167-6911(92)90052-TzbMath0765.93054OpenAlexW2070497580MaRDI QIDQ1199064

Jen-Hsing Li, Tzuu-Hseng S. Li

Publication date: 16 January 1993

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(92)90052-t

zbMATH Keywords

stability bounddiscrete two-time-scale systems

Mathematics Subject Classification ID

Controllability (93B05) Perturbations in control/observation systems (93C73)

Related Items (13)

Stability analysis of singularly perturbed control systems with actuator saturation ⋮ Near-optimal observer-based control of discrete two-time-scale systems ⋮ Design of controllers and observer-based controllers for time-delay singularly perturbed systems via composite control ⋮ On the composite and reduced observer-based control of discrete two-time-scale systems ⋮ Fast sampling control of singularly perturbed systems with actuator saturation and \(L_2\) disturbance ⋮ \(H_\infty\) control for fast sampling discrete-time singularly perturbed systems ⋮ An infinite ∍-bound stability criterion for a class of multiparameter singularly perturbed time-delay systems ⋮ On analysis of discrete singularly perturbed nonlinear systems: Application to the study of stability properties ⋮ Exponential stabilization of singularly perturbed switched systems subject to actuator saturation ⋮ Stability robustness bounds of discrete two-time-scale systems ⋮ Composite State Feedback of the Finite FrequencyH_∞Control for Discrete-Time Singularly Perturbed Systems ⋮ Stability bound of discrete multiple time-delay singularly perturbed systems ⋮ Robust ISS of uncertain discrete-time singularly perturbed systems with disturbances

Cites Work

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• Characterization and computation for the bound \(\epsilon\) * in linear time-invariant singularly perturbed systems
• Stabilizing feedback controllers for singularly perturbed discrete systems
• Infinite-time regulators for singularly perturbed difference equations†
• Singularly perturbed difference equations in optimal control problems
• Multirate and composite control of two-time-scale discrete-time systems
• Multirate digital control design of an optimal regulator via singular perturbation theory
• Singular perturbation modelling of continuous and discrete physical systems
• On the stability bounds of singularly perturbed systems

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