2.Then, we find the Yang-Baxter equation satisfied by the monodromy matrix defined through Lax operator. Infinite conserved quantities can be obtained by expanding the monodromy matrix repecting to the spectrum parameter.
3.An inversion formula of infinite generalized block Toeplitz plus Hankel matrices is obtained by using the IGB generating function and ω matrix of IGB matrices. The entries of inverse of an IGB(T+H) matrix are given out recurrently.
利用无限广义块 (IGB)矩阵的生成函数和ω 结构矩阵方法给出无限广义块Toeplitz plus Hankel(IGB(T +H) )矩阵的求逆公式 ,同时给出逆矩阵元素的循环解收藏指正
4.Based on it and matrix equation theory,a sufficient and necessary condition was obtained tomake the infinite-eigenvalue assignment for descriptor systems solvable by state variable feedback,that was to find K such that theclose-loop descriptor system(E,A+BK)only has infinite eigenvalues.
5.And by using the quantum inverse scattering method, it has been shown that the monodromy matrix satisfies the quantum Yang-Baxter equation(QYBE) on both a finite interval and an infinite interval. So the integrability of this model is proved.
