Decoupling transformations play very important roles in the control theory of systems containing small parameters. Under certain, usually very mild conditions, these transformations allow the linear system decomposition into independent reduced-order subsystems. The decoupling transformation for linear singularly perturbed continuous-time varying systems is introduced in (Chang, 1972). Corresponding transformation for weakly coupled linear systems is presented in (Gajic and Shen, 1989). In the recent paper (Qureshi and Gajic, 1992) a new version of the Chang transformation is obtained for singularly perturbed continuous-time varying linear systems. In (Qureshi, 1992) a new version of the transformation obtained by (Gajic and Shen, 1989) for weakly coupled linear systems is derived.
KeywordsNewton Method Transition Matrice Lyapunov Equation Time Invariant System Fast Subsystem
Unable to display preview. Download preview PDF.