On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems
This study discusses the relationship between the entropy and the dissipativity of stochastic systems under the background of biological systems. First, measurement methods of the system entropy and energy dissipativity of linear stochastic biological systems are introduced. We found that the system...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/1628472 |
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| _version_ | 1832546200048369664 |
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| author | Bor-Sen Chen Xiangyun Lin Weihai Zhang Tianshou Zhou |
| author_facet | Bor-Sen Chen Xiangyun Lin Weihai Zhang Tianshou Zhou |
| author_sort | Bor-Sen Chen |
| collection | DOAJ |
| description | This study discusses the relationship between the entropy and the dissipativity of stochastic systems under the background of biological systems. First, measurement methods of the system entropy and energy dissipativity of linear stochastic biological systems are introduced. We found that the system entropy is negatively proportional to the energy dissipativity in logarithmic scale. Some opposite effects between system entropy and energy dissipativity are also discussed and compared based on their measured values to get insight into the understanding of the system mechanisms and the system characteristics. We found that the intrinsic random fluctuation and the enhancement of the system robust stability both can increase the system entropy but decrease the system dissipativity. The system entropy and the energy dissipativity of nonlinear stochastic biological systems are also discussed and compared based on a global linearization method. Computation methods are also provided. Finally, two numerical examples are demonstrated to verify theoretical prediction. |
| format | Article |
| id | doaj-art-69483ee6dfda46b4b9ecf7f7031145f1 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-69483ee6dfda46b4b9ecf7f7031145f12025-02-03T07:23:34ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/16284721628472On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological SystemsBor-Sen Chen0Xiangyun Lin1Weihai Zhang2Tianshou Zhou3Department of Electrical Engineering, National Tsing Hua University, Hsinchu 30013, TaiwanCollege of Mathematics and Systems, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaSchool of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaThis study discusses the relationship between the entropy and the dissipativity of stochastic systems under the background of biological systems. First, measurement methods of the system entropy and energy dissipativity of linear stochastic biological systems are introduced. We found that the system entropy is negatively proportional to the energy dissipativity in logarithmic scale. Some opposite effects between system entropy and energy dissipativity are also discussed and compared based on their measured values to get insight into the understanding of the system mechanisms and the system characteristics. We found that the intrinsic random fluctuation and the enhancement of the system robust stability both can increase the system entropy but decrease the system dissipativity. The system entropy and the energy dissipativity of nonlinear stochastic biological systems are also discussed and compared based on a global linearization method. Computation methods are also provided. Finally, two numerical examples are demonstrated to verify theoretical prediction.http://dx.doi.org/10.1155/2018/1628472 |
| spellingShingle | Bor-Sen Chen Xiangyun Lin Weihai Zhang Tianshou Zhou On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems Complexity |
| title | On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems |
| title_full | On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems |
| title_fullStr | On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems |
| title_full_unstemmed | On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems |
| title_short | On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems |
| title_sort | on the system entropy and energy dissipativity of stochastic systems and their application in biological systems |
| url | http://dx.doi.org/10.1155/2018/1628472 |
| work_keys_str_mv | AT borsenchen onthesystementropyandenergydissipativityofstochasticsystemsandtheirapplicationinbiologicalsystems AT xiangyunlin onthesystementropyandenergydissipativityofstochasticsystemsandtheirapplicationinbiologicalsystems AT weihaizhang onthesystementropyandenergydissipativityofstochasticsystemsandtheirapplicationinbiologicalsystems AT tianshouzhou onthesystementropyandenergydissipativityofstochasticsystemsandtheirapplicationinbiologicalsystems |