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A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon
Alternative TitleA novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon
Zhang HuaGuang1; Song Zheng1; Zhang QingLing2
2010
Source PublicationCHINESE PHYSICS B
ISSN1674-1056
Volume19Issue:12
AbstractThis 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.
Other AbstractThis 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
KeywordABSOLUTE STABILITY POSITIVE REALNESS VARYING DELAY LEMMA ferromagnetic hysteresis nonlinearity discrete-time descriptor systems extended Tsypkin criterion
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China] ; [National Basic Research Program of China]
CSCD IDCSCD:4077628
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Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/144086
Collection中国科学院金属研究所
Affiliation1.东北大学
2.中国科学院金属研究所
Recommended Citation
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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