2002•Journal of Tsinghua University(Science and Technology)Requires access
Nonsingular transformation of linear switched systems
Guangming Xie
Open publisher page 1 citations
Abstract
Linear switched systems are an important class of hybrid dynamic systems. The controllability of linear switched systems and the necessary and sufficient criteria for the controllability of linear switched systems were studied by analyzing the performance of linear switched systems using nonsingular transformations. The controllability of linear switched systems was found to be invariant for any nonsingular transformation. Then, with the proper nonsingular transformation, the system state space could be decomposed into two parts which gave a new proof for a necessary condition for controllability of linear switched systems. Finally, an example is given to verify that the controllability is not changed by any nonsingular transformation.