Some new results on stability robustness of two-dimensional discrete systems

DOI10.1007/BF00989278zbMath0815.93063OpenAlexW2036366356MaRDI QIDQ1337487

V. Pereyra

Publication date: 11 June 1995

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00989278

zbMATH Keywords

optimization techniquestability robustness2-D Lyapunov approachtwo-dimensional discrete systems

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05) Robust stability (93D09)

Related Items (7)

Robust \(l_2\)-gain control for 2D nonlinear stochastic systems with time-varying delays and actuator saturation ⋮ Stabilization of 2D saturated systems by state feedback control ⋮ Reduced-order modeling methods via bivariate discrete orthogonal polynomials for two-dimensional discrete state-delayed systems ⋮ LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation / overflow nonlinearities ⋮ Stabilisation of discrete 2D time switching systems by state feedback control ⋮ Delay-dependent stability and stabilisation of continuous 2D delayed systems with saturating control ⋮ LMI-based criterion for the robust stability of 2D discrete state-delayed systems using generalized overflow nonlinearities

Cites Work

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• A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
• Robust stability of discrete systems
• Stability robustness of two-dimensional discrete systems and its computation
• On the multidimensional generalization of robustness of scattering Hurwitz property of complex polynomials
• The discrete-time strictly bounded-real lemma and the computation of positive definite solutions to the 2-D Lyapunov equation

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