Vector Lyapunov functions for stability and stabilization of differential repetitive processes

DOI10.1134/S1064230716040067zbMath1383.93061OpenAlexW2475704385MaRDI QIDQ1743087

P. V. Pakshin, Eric Rogers, Mikhail A. Emelianov, Krzysztof Gałkowski

Publication date: 12 April 2018

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064230716040067

zbMATH Keywords

stabilizationexponential stabilityvector Lyapunov functionsmodel uncertainty.differential repetitive processesiterative learning control law

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Stochastic stability of some classes of nonlinear 2D systems ⋮ Problems of computing norms of 2D systems ⋮ Structural stability, asymptotic stability and exponential stability for linear multidimensional systems: the good, the bad and the ugly ⋮ Iterative learning control design for multiagent systems based on 2D models ⋮ Iterative learning control design based on state observer ⋮ \(H_\infty\) control of 2-D continuous Markovian jump delayed systems with partially unknown transition probabilities

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