| A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon | |
| Alternative Title | A novel extended Tsypkin criterion for discrete-time descriptor systems with ferromagnetic hysteresis nonlinear physical phenomenon |
| Zhang HuaGuang1; Song Zheng1; Zhang QingLing2 | |
| 2010 | |
| Source Publication | CHINESE PHYSICS B
 |
| ISSN | 1674-1056 |
| Volume | 19Issue:12 |
| Abstract | 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. |
| Other Abstract | 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 |
| Keyword | ABSOLUTE STABILITY POSITIVE REALNESS VARYING DELAY LEMMA ferromagnetic hysteresis nonlinearity discrete-time descriptor systems extended Tsypkin criterion |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [National Natural Science Foundation of China] ; [National Basic Research Program of China] |
| CSCD ID | CSCD:4077628 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/144089 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.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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