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This paper addresses issues concerning asymptotic stability testing andcontroller design for the two-dimensional Rosser model inDifferential-Algebraic-Equations systems (DAEs). We present sufficientstability criteria based on the Lyapunov approach, utilizing a set ofLinear-Matrix-Inequalities (LMIs) tailored for two-dimensional DAEs.Furthermore, we establish a set of sufficient conditions for determining thefeasibility of both state- and output-feedback controllers. Our methodseliminate the need for decomposing the two-dimensional DAEs into separatealgebraic and differential components.

Improved Stability and Controller Design Criteria for Two-dimensional Differential-Algebraic-Equation Systems via LMI Approach