Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application
Some partial differential algebraic equations (PDAEs) system with singular time derivative matrices is analyzed. First, by PDE spectrum theory, this system is formulated as infinite-dimensional singular systems. Second, the state space and its properties of the system are built according to descript...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/3713864 |
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| _version_ | 1850163521789100032 |
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| author | Yushan Jiang Qingling Zhang |
| author_facet | Yushan Jiang Qingling Zhang |
| author_sort | Yushan Jiang |
| collection | DOAJ |
| description | Some partial differential algebraic equations (PDAEs) system with singular time derivative matrices is analyzed. First, by PDE spectrum theory, this system is formulated as infinite-dimensional singular systems. Second, the state space and its properties of the system are built according to descriptor system theory. Third, the admissible property of the PDAEs is given via LMIs. Finally, the developed energy estimation method is proposed to investigate the global stability of PDAEs. The proposed approach is evaluated by an application in numerical simulations on some wetland conservation system with social behavior. |
| format | Article |
| id | doaj-art-e7c14af1a11a4fe993231ea0323ae50b |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e7c14af1a11a4fe993231ea0323ae50b2025-08-20T02:22:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/37138643713864Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation ApplicationYushan Jiang0Qingling Zhang1Institute of System Science, Northeastern University, Wenhua Road, Shenyang 110819, ChinaInstitute of System Science, Northeastern University, Wenhua Road, Shenyang 110819, ChinaSome partial differential algebraic equations (PDAEs) system with singular time derivative matrices is analyzed. First, by PDE spectrum theory, this system is formulated as infinite-dimensional singular systems. Second, the state space and its properties of the system are built according to descriptor system theory. Third, the admissible property of the PDAEs is given via LMIs. Finally, the developed energy estimation method is proposed to investigate the global stability of PDAEs. The proposed approach is evaluated by an application in numerical simulations on some wetland conservation system with social behavior.http://dx.doi.org/10.1155/2016/3713864 |
| spellingShingle | Yushan Jiang Qingling Zhang Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application Discrete Dynamics in Nature and Society |
| title | Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application |
| title_full | Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application |
| title_fullStr | Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application |
| title_full_unstemmed | Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application |
| title_short | Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application |
| title_sort | estimation and global stability analysis of pdaes with singular time derivative matrix and wetland conservation application |
| url | http://dx.doi.org/10.1155/2016/3713864 |
| work_keys_str_mv | AT yushanjiang estimationandglobalstabilityanalysisofpdaeswithsingulartimederivativematrixandwetlandconservationapplication AT qinglingzhang estimationandglobalstabilityanalysisofpdaeswithsingulartimederivativematrixandwetlandconservationapplication |