大型互联区间线性系统的鲁棒稳定性

研究一类大型互联区间线性系统的鲁棒稳定性问题。首先将第i个子系统的标称模型分解为对称结构系统和反对称结构系统,然后借助于边界值矩阵的定义和凸函数的性质,利用数值代数的方法,提出一个充分条件,当边界值矩阵的特征值满足一定条件时,大型互联区间线性系统是鲁棒渐近稳定的。最后,通过一个例子说明文中方法的可行性和有效性。

Robust stability of large-scale interconnected interval linear systems

The robust stability of a class of large-scale interconnected interval linear systems is discussed.Firstly,the nominal of the i-th subsystem was decomposed into the system with symmetric structure and that with anti-symmetric structure.Then based on the definition of boundary value matrix and the property of convex function,a sufficient condition was provided by using numerical algebra method.When the eigenvalues of the boundary value matrices satisfy the conditions,the large-scale interconnected interval linear systems are robust asymptotically stable.Finally,the feasibility and effectiveness of the conclusion was illustrated.