Stabilization of Two-Dimensional Nonlinear Systems Described by Fornasini--Marchesini and Roesser Models

DOI10.1137/16M1076575zbMath1401.93217MaRDI QIDQ4961440

Krzysztof Gałkowski, Pavel Pakshin, Julia P. Emelianova, Eric Rogers

Publication date: 29 October 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

stabilizationnonlinear systemsexponential stabilitydissipativitypassivitystochastic stability2D systemsvector Lyapunov functions

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stochastic stability in control theory (93E15)

Related Items (6)

Iterative learning control design for switched systems ⋮ Infinite-dimensional representation of \(n\)D nonlinear state space systems ⋮ Control systems analysis for the Fornasini-Marchesini 2D systems model – progress after four decades ⋮ Iterative learning control design for discrete-time stochastic switched systems ⋮ A direct and converse Lyapunov theorem for a nonlinear 2D discrete system described by the Fornasini-Marchesini second model ⋮ Sliding mode control for 2D FMII systems: a bidirectional dynamic event-triggered strategy

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