Model reduction for two-dimensional systems

A 2-D model reduction using singular perturbation methodology is presented. The strong-weak coupling effects that lead to eigenvalue clustering of A₁ and A₄ matrices are utilized to derive structure transformations for fast-slow decomposition. This in conjunction with an aggregation procedure given allows the development of reduced-order 2-D slow and fast subsystems that capture the essential behavior of the full-order system as evidenced by close examination of the relevant characteristic polynomials