Transient response in matrix discrete-time linear systems

DOI10.1134/S0005117919090066zbMath1431.93041OpenAlexW2973208168WikidataQ127240084 ScholiaQ127240084MaRDI QIDQ2289051

Georgi V. Smirnov, Boris T. Polyak

Publication date: 28 January 2020

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://rd.springer.com/content/pdf/10.1134/S0005117919090066.pdf

zbMATH Keywords

stabilitydiscrete-time systemslarge deviationsmultidimensional systemstransient responseheavy-ball methodinfinite degree of stability

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05)

Cites Work

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• Large deviations in linear control systems with nonzero initial conditions
• Synthesis of multipurpose linear control laws of discrete objects under integral and phase constraints
• ``Peak effect in stationary linear systems with scalar inputs and outputs
• Peak effects in stable linear difference equations
• Some methods of speeding up the convergence of iteration methods

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