It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that...It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that the Hurwitz-Schur stability of the denominator polynomials of the systems is necessary and sufficient for the asymptotic stability of the 2-D hybrid systems. The 2-D hybrid transformation, i. e. 2-D Laplace-Z transformation, has been proposed to solve the stability analysis of the 2-D continuous-discrete systems, to get the 2-D hybrid transfer functions of the systems. The edge test for the Hurwitz-Schur stability of interval bivariate polynomials is introduced. The Hurwitz-Schur stability of the interval family of 2-D polynomials can be guaranteed by the stability of its finite edge polynomials of the family. An algorithm about the stability test of edge polynomials is given.展开更多
New stability conditions for complex switched systems are presented. We propose the concepts of attractive region and semi-attmctive region, which are used as a tool for analyzing the stability of switched systems wit...New stability conditions for complex switched systems are presented. We propose the concepts of attractive region and semi-attmctive region, which are used as a tool for analyzing the stability of switched systems with unstable subsystems. Based on attractive region the sufficient conditions with less conservative for stability of switched systems have been established, """"there is no limitation for all members of the system set to be stable. Since our results have considered and utilized the decreasing span of oscillating solutions of the switched systems, they are more practical than the other presented ones of stability of switched systems, and need not resort to multiple Lyapunov functions.展开更多
基金This project was supported by National Natural Science Foundation of China (69971002).
文摘It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that the Hurwitz-Schur stability of the denominator polynomials of the systems is necessary and sufficient for the asymptotic stability of the 2-D hybrid systems. The 2-D hybrid transformation, i. e. 2-D Laplace-Z transformation, has been proposed to solve the stability analysis of the 2-D continuous-discrete systems, to get the 2-D hybrid transfer functions of the systems. The edge test for the Hurwitz-Schur stability of interval bivariate polynomials is introduced. The Hurwitz-Schur stability of the interval family of 2-D polynomials can be guaranteed by the stability of its finite edge polynomials of the family. An algorithm about the stability test of edge polynomials is given.
文摘New stability conditions for complex switched systems are presented. We propose the concepts of attractive region and semi-attmctive region, which are used as a tool for analyzing the stability of switched systems with unstable subsystems. Based on attractive region the sufficient conditions with less conservative for stability of switched systems have been established, """"there is no limitation for all members of the system set to be stable. Since our results have considered and utilized the decreasing span of oscillating solutions of the switched systems, they are more practical than the other presented ones of stability of switched systems, and need not resort to multiple Lyapunov functions.
