Singular perturbation analysis of linear systems with scalar quantized control

DOI10.1016/0005-1098(88)90051-9zbMath0663.93035OpenAlexW2046100543MaRDI QIDQ1115392

Abraham Haddad, Bonnie S. Heck

Publication date: 1988

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(88)90051-9

zbMATH Keywords

feedbackasymptotic stabilityquantizationtime-invariantlinear singularly perturbed control system

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control/observation systems governed by ordinary differential equations (93C15) Singular perturbations for ordinary differential equations (34E15)

Related Items (4)

Approximation and decomposition of singularly perturbed stochastic hybrid systems ⋮ Rosenbrock-type methods applied to discontinuous differential systems ⋮ Singular perturbation theory for piecewise–linear systems with random inputs ⋮ Variable structure control of synchronous generator: singularly perturbed analysis

Cites Work

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• Singular perturbations and time-scale methods in control theory: Survey 1976-1983
• Singular perturbations and order reduction in control theory - an overview
• The Asymptotic Behavior of the Stable Initial Manifolds of a System of Nonlinear Differential Equations
• Controllability and time-optimal control of systems with slow and fast modes
• Variable structure systems with sliding modes
• <tex>L_infty</tex>-stability criteria for interconnected systems using exponential weighting

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