Admissibility Analysis for 2-D SRM Continuous Systems

This paper investigates the admissibility analysis of a class of two-dimensional singular continuous systems represented by the Roesser model. By transforming the original system into an equivalent separated standard form and applying the Lyapunov method along with specific slack matrices, we propose a technique that avoids singularity issues and establishes sufficient conditions for admissibility in the form of strict linear matrix inequalities. To illustrate the practicality of the proposed approach, we present a simulation example based on a first-order hyperbolic heat equation describing thermal processes.