Upper bounds on peaks in discrete-time linear systems

DOI10.1134/S0005117918110036zbMath1406.93193OpenAlexW2901050311MaRDI QIDQ1717043

Erdal Karapınar

Publication date: 5 February 2019

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

Full work available at URL: https://doi.org/10.1134/s0005117918110036

zbMATH Keywords

stabilityupper boundsrobustnesslinear matrix inequalitieslinear discrete-time systemsnonzero initial conditionstransient behavior

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Feedback control (93B52) 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)

Related Items (6)

Linear matrix inequalities in control systems with uncertainty ⋮ Optimal control of maximum output deviations of a linear time-varying system on a finite horizon ⋮ A probabilistic point of view on peak effects in linear difference equations ⋮ Minimax control of deviations for the outputs of a linear discrete time-varying system ⋮ Quadratic maximization of reachable values of affine systems with diagonalizable matrix ⋮ Algorithm for robustness estimation of large deviations in linear discrete-time systems

Uses Software

• Matlab
• CVX
• LMI toolbox
• Eigtool
• Control System Toolbox

Cites Work

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• Superstable linear control systems. II: Design
• Generalized superstability in control theory
• Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
• Linear Matrix Inequalities in System and Control Theory
• Peak effects in stable linear difference equations
• On the Minimization of Maximum Transient Energy Growth
• On the projection algorithm and delay of peaking in adaptive control

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