A Leverrier-like algorithm is presented which allows the computation of the transfer function of a linear regular system from its m-D state-space description,without inverting a multivariable polynomial matrix. This a...A Leverrier-like algorithm is presented which allows the computation of the transfer function of a linear regular system from its m-D state-space description,without inverting a multivariable polynomial matrix. This algorithm is an extension of the classic Leverrier's algorithm for 1-D system and it reduces the computational cost.ra-D Cayley-Hamilton theorem is also shown by the algorithm.展开更多
基金Supported by NSFC Project 19971057, Science and Technology Foundation of Shanhai Higher Eduction Project 03DZ04, and The Special Funds for Major Specialities of Shanghai Eduction Committee. Partly supported by Chinese Scholarship Council.
文摘A Leverrier-like algorithm is presented which allows the computation of the transfer function of a linear regular system from its m-D state-space description,without inverting a multivariable polynomial matrix. This algorithm is an extension of the classic Leverrier's algorithm for 1-D system and it reduces the computational cost.ra-D Cayley-Hamilton theorem is also shown by the algorithm.
