  This paper addresses issues concerning asymptotic stability testing and
controller design for the two-dimensional Rosser model in
Differential-Algebraic-Equations systems (DAEs). We present sufficient
stability criteria based on the Lyapunov approach, utilizing a set of
Linear-Matrix-Inequalities (LMIs) tailored for two-dimensional DAEs.
Furthermore, we establish a set of sufficient conditions for determining the
feasibility of both state- and output-feedback controllers. Our methods
eliminate the need for decomposing the two-dimensional DAEs into separate
algebraic and differential components.
