Singular perturbation methods for a class of initial- and boundary-value problems in discrete systems

DOI10.1080/00207178208932876zbMath0484.93051OpenAlexW2121506489MaRDI QIDQ3944448

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Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00207178208932876

zbMATH Keywords

degenerationformal series expansionsingularly perturbed initial- and boundary-value problems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Singular perturbations for ordinary differential equations (34E15)

Related Items (5)

Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems ⋮ Multirate digital control design of an optimal regulator via singular perturbation theory ⋮ Order-reducing approximation of two-time-scale discrete linear time-varying systems ⋮ Singular second order boundary value problems on purely discrete time scales ⋮ Singular perturbations and time-scale methods in control theory: Survey 1976-1983

Cites Work

• Difference approximations for singular perturbations of systems of ordinary differential equations
• Singular perturbations for difference equations
• Reduced order modelling and control of two-time-scale discrete systems†
• A singular perturbation method for discrete control systems
• Singular perturbation method for initial-value problems with inputs in discrete control systems
• Singularly perturbed boundary-value problems in discrete systems

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