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A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon
其他题名A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon
Zhang HuaGuang1; Song Zheng1; Zhang QingLing2
2010
发表期刊CHINESE PHYSICS B
ISSN1674-1056
卷号19期号:12
摘要This paper concerns the absolute stability problem of discrete-time descriptor systems with feedback connected ferromagnetic hysteresis nonlinearities. The ferromagnetic hysteresis model satisfies the passivity conditions of hysteresis operator, that is the input-output relation of the transformed operator is passive. The bound condition of the solution of the ferromagnetic hysteresis model is given. Through the framework of loop transformation, an augmented discrete-time descriptor system model is established for the stability analysis. A new extended Tsypkin criterion for the absolute stability of discrete-time descriptor systems with hysteresis is presented based on the linear matrix inequalities technique. A numerical example is given to illustrate the effectiveness of the extended criterion.
其他摘要This paper concerns the absolute stability problem of discrete-time descriptor systems with feedback connected ferromagnetic hysteresis nonlinearities. The ferromagnetic hysteresis model satisfies the passivity conditions of hysteresis operator, that is the input-output relation of the transformed operator is passive. The bound condition of the solution of the ferromagnetic hysteresis model is given. Through the framework of loop transformation, an augmented discretetime descriptor system model is established for the stability analysis. A new extended Tsypkin criterion for the absolute stability of discrete-time descriptor systems with hysteresis is presented based on the linear matrix inequalities technique. A numerical example is given to illustrate the effectiveness of the extended criterion
关键词ABSOLUTE STABILITY POSITIVE REALNESS VARYING DELAY LEMMA ferromagnetic hysteresis nonlinearity discrete-time descriptor systems extended Tsypkin criterion
收录类别CSCD
语种英语
资助项目[National Natural Science Foundation of China] ; [National Basic Research Program of China]
CSCD记录号CSCD:4077628
引用统计
文献类型期刊论文
条目标识符http://ir.imr.ac.cn/handle/321006/144089
专题中国科学院金属研究所
作者单位1.东北大学
2.中国科学院金属研究所
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GB/T 7714
Zhang HuaGuang,Song Zheng,Zhang QingLing. A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon[J]. CHINESE PHYSICS B,2010,19(12).
APA Zhang HuaGuang,Song Zheng,&Zhang QingLing.(2010).A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon.CHINESE PHYSICS B,19(12).
MLA Zhang HuaGuang,et al."A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon".CHINESE PHYSICS B 19.12(2010).
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