互联灰色动态系统稳定性的充分条件  

Sufficient Conditions for the Stability of Interconnected Grey Dynamic Systems

作　　者：周朝顺[1] 阙泰林[1] 

机构地区：[1]华中理工大学自动控制工程系

出　　处：《华中理工大学学报》1989年第3期83-87,共5页Journal of Huazhong University of Science and Technology

基　　金：国家自然科学基金资助课题

摘　　要：本文探讨了互联灰色动态系统的稳定性问题,得出了一些确保互联灰色动态系统稳定的充分条件,并给出了应用实例。The stability of interconnected grey dynamic systems given below is discussed:where Xi∈Rn4 is the state vector of the i-th subsystem and A mtk, ∈[emtk,fm4k4], where i, j = 1,2, …,n; mi = 1,2, …,ni; kj = 1, 2, …,nj, em4kj and fm4kj are exactly known, but not m4kj In terms of Lyapunov's stability theorem, sufficient criteria for the stability of the system have been derived, in which one of them is characterized by the use of the recursive computation expression for low-order matrix to testify the stability of the very high order interconnected grey dynamic system.

关 键 词：灰色系统 区间动态系统 稳定性 

分 类 号：O231[理学—运筹学与控制论]