Asymptotic expansions for time-varying scalar differential equations using the residue theorem for their discretized difference equations

DOI10.1016/j.amc.2010.01.024zbMath1191.34012OpenAlexW2167984702WikidataQ57675230 ScholiaQ57675230MaRDI QIDQ961565

Manuel de la Sen

Publication date: 31 March 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.024

zbMATH Keywords

stabilityasymptotic expansionsresidue theorem

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Finite difference and finite volume methods for ordinary differential equations (65L12) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Oscillatory behavior in linear difference equations under unmodeled dynamics and parametrical errors
• Asymptotic expansions for higher-order scalar difference equations
• On the properties of reachability, observability, controllability, and constructibility of discrete-time positive time-invariant linear systems with aperiodic choice of the sampling instants
• Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
• Asymptotic behavior and oscillation of functional differential equations
• Improving transient response of adaptive control systems using multiple models and switching
• Adaptive control using multiple models
• A note on the stability of linear time-delay systems with impulsive inputs
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