Lyapunov stability analysis of higher-order 2-D systems

DOI10.1007/s11045-010-0124-1zbMath1234.93084OpenAlexW2221792085MaRDI QIDQ655962

Chiaki Kojima, Kiyotsugu Takaba, Paolo Rapisarda

Publication date: 26 January 2012

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

Full work available at URL: https://eprints.soton.ac.uk/267984/1/cdc2d.pdf

zbMATH Keywords

Lyapunov functionpolynomial Lyapunov equation2-D systemquadratic difference form

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) PDEs in connection with control and optimization (35Q93)

Related Items (12)

Algorithms for the theory of restrictions of scalar \(n\)-D systems to proper subspaces of \(\mathbb {R}^n\) ⋮ A frequency-partitioning approach to stability analysis of two-dimensional discrete systems ⋮ Stability of 2D discrete Takagi-Sugeno systems ⋮ Discrete Roesser state models from 2D frequency data ⋮ Discussion on: ``Energy-to-peak model reduction for 2-D discrete systems in Fornasini-Marchesini form ⋮ Lyapunov functions for time-relevant \(2D\) systems, with application to first-orthant stable systems ⋮ Passivity-based finite-region control of 2-D hidden Markov jump Roesser systems with partial statistical information ⋮ Stability of nonlinear time-varying digital 2-D Fornasini-Marchesini system ⋮ On restrictions of \(n\)-d systems to 1-d subspaces ⋮ Stability of nonlinear 2D systems described by the continuous-time Roesser model ⋮ State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories ⋮ Stability and stabilisation of linear multidimensional discrete systems in the frequency domain

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