Stability of nonlinear 2D systems described by the continuous-time Roesser model

DOI10.1134/S000511791405004XzbMath1302.93181MaRDI QIDQ463387

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

Publication date: 16 October 2014

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

zbMATH Keywords

exponential stabilityMarkovian switchingabsolute stability and stabilization via state- and output-feedbackcontinuous-time nonlinear Roesser modelnonlinear 2D systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (13)

Addenda to the papers ``Stability of nonlinear 2D systems described by the continuous-time Roesser model and ``Stabilization of differential repetitive processes ⋮ Stochastic stability of some classes of nonlinear 2D systems ⋮ Reliable \(H_\infty\) control of 2-D continuous nonlinear systems with time varying delays ⋮ Stability of 2D discrete Takagi-Sugeno systems ⋮ Structural stability, asymptotic stability and exponential stability for linear multidimensional systems: the good, the bad and the ugly ⋮ Stabilization of nonlinear Fornasini-Marchesini systems ⋮ Vector Lyapunov functions for stability and stabilization of differential repetitive processes ⋮ Multidimensional control systems: case studies in design and evaluation ⋮ Robust state feedback \(H_\infty \) control for uncertain 2-D continuous state delayed systems in the Roesser model ⋮ Iterative learning control design for multiagent systems based on 2D models ⋮ \(H_\infty\) performance analysis of 2D continuous time-varying delay systems ⋮ \(H_\infty\) control of 2-D continuous Markovian jump delayed systems with partially unknown transition probabilities ⋮ A necessary and sufficient condition of asymptotic stability for a class of Fornasini-Marchesini models

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