Some algorithms for feedback stabilization of rectangular singular system

Rectangular singular system is also called unsquared singular system, usually, in this system, the number of the state equations and state variables are not equal. The system often appears in system modeling when the modeling of system is not complete, part informations are not know, or the system exists part faults. In this paper, the stability of rectangular singular system is discussed. First of all, the conditions of the regularization and no pulses of the system are discussed; Secondly, transform rectangular singular system into normal squared singular system based on dynamic compensation; Finally, some algorithms for feedback stabilization of rectangular singular system are given by the subnegative definite matrix and generalized inverse of matrix, and an example is given to show effectiveness of the proposed algorithm.