Lyapunov functions for time-relevant \(2D\) systems, with application to first-orthant stable systems

DOI10.1016/j.automatica.2012.06.019zbMath1257.93072OpenAlexW2113077057MaRDI QIDQ1937472

Paula Rocha, Paolo Rapisarda

Publication date: 1 March 2013

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.06.019

zbMATH Keywords

linear matrix inequalitiesLyapunov stabilityquadratic difference forms2-\(D\) systemstime-relevance

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Algebraic methods (93B25)

Related Items (7)

Every discrete 2D autonomous system admits a finite union of parallel lines as a characteristic set ⋮ Partial interconnection and observer-based dead-beat control of two-dimensional behaviors ⋮ Failure identification for 3D linear systems ⋮ Modeling and Analysis of Energy Distribution Networks Using Switched Differential Systems ⋮ Discrete Roesser state models from 2D frequency data ⋮ On characteristic cones of discrete \(n\)D autonomous systems: theory and an algorithm ⋮ State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories

Uses Software

• LMIRank

Cites Work

• Time-relevant stability of 2D systems
• Lyapunov stability analysis of higher-order 2-D systems
• A Newton-like method for solving rank constrained linear matrix inequalities
• Canonical forms for polynomial and quadratic differential operators
• Lyapunov stability of 2D finite-dimensional behaviours
• Stability analysis for two-dimensional systems via a Lyapunov approach
• Generalized Bezoutians and families of efficient zero-location procedures
• Stability analysis of 2-D systems
• Stability Analysis of Two-Dimensional Systems by Means of Finitely Constructed Bilateral Quadratic Forms
• Time-autonomy and time-controllability of discrete multidimensional behaviours
• Discrete-time average positivity and spectral factorization in a behavioral framework.

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