On the matrix Riccati equation for a singularly perturbed linear discrete control system

DOI10.1080/00207178308933121zbMath0524.93048OpenAlexW2047018339MaRDI QIDQ3039196

Morishige Kumura

Publication date: 1983

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178308933121

zbMATH Keywords

Riccati equationdifference approximationsingularly perturbed linear time-varying continuous-time control system

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Additive difference equations (39A10) Singular perturbations for ordinary differential equations (34E15) Model systems in control theory (93C99)

Related Items (5)

Singular perturbation method for initial value problems in two-parameter discrete control systems ⋮ Singular perturbation method for boundary value problems in two-parameter discrete control systems ⋮ Singular perturbations in control problems ⋮ Singular perturbation modelling of large-scale systems with multi-time-scale property ⋮ Order-reducing approximation of two-time-scale discrete linear time-varying systems

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• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
• The Numerical Solution of Singular Perturbations of Boundary Value Problems

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