Lyapunov stability theory and performance bounds for a class of 2D linear systems

DOI10.1007/BF01827812zbMath0846.93067OpenAlexW2031390963MaRDI QIDQ1915485

Eric Rogers, David H. Owens

Publication date: 22 September 1996

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

Full work available at URL: https://doi.org/10.1007/bf01827812

zbMATH Keywords

stabilityLyapunov equationRoesser model2-Dsystem performancediscrete linear repetive processes

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Cites Work

• Frequency domain Lyapunov equations and performance bounds for differential linear repetitive processes
• Stability analysis for linear repetitive processes
• Iterative learning control for deterministic systems
• Stability analysis for two-dimensional systems via a Lyapunov approach
• Stability and the matrix Lyapunov equation for discrete 2-dimensional systems
• A numerical investigation of non-spherical rebounding bubbles
• A discrete state-space model for linear image processing
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