An upper bound for the singular parameter in a stable, singularly perturbed system

DOI10.1016/0016-0032(73)90205-6zbMath0297.93024OpenAlexW2016258745MaRDI QIDQ1214369

L. Zien

Publication date: 1973

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(73)90205-6

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Realizations from input-output data (93B15) Control/observation systems governed by ordinary differential equations (93C15) Communication theory (94A05) Stability of control systems (93D99)

Related Items (13)

A model reduction method of 2D systems ⋮ Characterization and computation for the bound \(\epsilon\) * in linear time-invariant singularly perturbed systems ⋮ New stability/performance results for singularly perturbed systems ⋮ Reduced-order feedback control of distributed parameter systems via singular perturbation methods ⋮ Maximal stability bounds of singularly perturbed systems ⋮ Singular perturbations, large-scale systems and asymptotic stability of invariant sets ⋮ Singular perturbations and order reduction in control theory - an overview ⋮ A descriptor-system approach for finite-frequency \(H_{\infty}\) control of singularly perturbed systems ⋮ Uniform asymptotic stability of linear time-varying singularly perturbed systems ⋮ Using multicomponent Lyapunov functions to analyze the absolute parametric stability of singularly perturbed uncertain mechanical systems ⋮ Stability of distributed parameter systems with finite-dimensional controller-compensators using singular perturbations ⋮ Sub-optimal feedback control of large-scale systems using the boundary layer method ⋮ A new parameter estimate in singular perturbations

Cites Work

• Classification of parameter perturbations in differential systems
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
• Asymptotic Methods for Systems of Differential Equations in which some Variables have very Short Response Times
• Singular perturbation of absolute stability
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