On global asymptotic stability of 2-D discrete systems with state saturation

DOI10.1016/j.physleta.2008.06.009zbMath1223.93054OpenAlexW2048704220MaRDI QIDQ641234

Vimal Singh

Publication date: 21 October 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.06.009

zbMATH Keywords

nonlinear systemsdigital filtersasymptotic stabilitynonlinear discrete-time systemsmultidimensional systemsLyapunov methodsfinite wordlength effectssaturation nonlinearities

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Discrete event control/observation systems (93C65)

Related Items (7)

New results on saturation overflow stability of 2-D state-space digital filters ⋮ Stability analysis for a class of discrete-time two-dimensional nonlinear systems ⋮ Control synthesis of uncertain Roesser-type discrete-time two-dimensional systems ⋮ Robust stability criteria of Roesser-type discrete-time two-dimensional systems with parameter uncertainties ⋮ Chaos synchronization of uncertain Genesio-Tesi chaotic systems with deadzone nonlinearity ⋮ Delay-dependent stability for 2D systems with time-varying delay subject to state saturation in the Roesser model ⋮ Stability analysis and controller synthesis for discrete linear time-delay systems with state saturation nonlinearities

Cites Work

• Global asymptotic stability of 2-D state-space digital filters with saturation arithmetic: Modified approach
• Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities

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