Title :
Numerically tractable stability tests for 2-D singular discrete-time systems
Author :
Caldeira, Andre F. ; Coutinho, Daniel ; de Souza, Carlos E. ; Leite, Valter J. S.
Author_Institution :
Grad. Program on Syst. & Control Eng. (PPGEAS), Univ. Fed. de Santa Catarina (UFSC), Florianopolis, Brazil
Abstract :
This paper presents numerically tractable strict and non-strict linear matrix inequality conditions to the internal stability analysis of 2-D singular discrete-time systems. Two classes of 2-D singular systems are considered: (i) a general singular Fornasini-Marchesini model, and (ii) a singular Roesser model. In addition, the proposed conditions also guarantee that the 2-D singular system is acceptable and jump modes free. Numerical examples are presented to illustrate the proposed approach.
Keywords :
discrete time systems; linear matrix inequalities; stability; 2D singular discrete-time system; general singular Fornasini-Marchesini model; internal stability analysis; linear matrix inequality conditions; numerically tractable stability test; singular Roesser model; Boundary conditions; Linear matrix inequalities; Numerical models; Numerical stability; Stability analysis; Structural engineering; Symmetric matrices; Acceptability; Internal stability; Jump modes free; Singular systems; Structural stability;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760402
