二维多项式Hurwitz稳定性的有限检验

Finite Test for Hurwitz Stability of 2-D Polynomials

基于复李雅普诺夫方程和矩阵的无穷范数 ,提出了二维Hurwitz多项式新的充分条件 .在此条件下 ,导出二维多项式Hurwitz稳定性的频域检验的有限算法 ,这一算法可以避免现有二维频域稳定性检验和代数稳定性检验算法中所存在的问题 .文中给出例子 ,用来说明此算法的应用 .

Based on the complex Lyapunov equation and infinite norm of matrices, we establish a new sufficient condition for 2 D Hurwitz polynomials. According to the condition, we develop a finite frequency test algorithm for Hurwitz stability of 2 D polynomials, which can avoid the above problems existing in present 2 D frequency domain stability tests and algebraic stability tests. An example is given to illustrate its application.