【摘要】 本文定义了一类新的动力系统-HCTD系统,利用矩阵迹的不等式理论研究了这类系统的稳定性,并给出了该系统稳定的充分必要条件。讨论了当Lyapunov方程的解P是HCTD阵时,动力系统稳定的充分条件。提出了用解矩阵迹的不等式设计动力系统镇定控制器的一种新方法。更多还原

【Abstract】 This paper defines a class of new dynamic systems—HCTD systems.The stability for the systems is studied by using the trace inequality theory of matrices,and a sufficient and necessary condition for the stability of the dynamic systems is given.If P is a solution for the Lyapunov equation and P is HCTD matrix,a sufficient condition for the stability of the dynamic systems is obtained. A new kind of stabilizing controller design method for dynamic systems is proposed by solving trace inequalities of matrices.更多还原