Optimal Control of Linear Impulsive Antiperiodic Boundary Value Problem on Infinite Dimensional Spaces
A class of optimal control problems for infinite dimensional impulsive antiperiodic boundary value problem is considered. Using exponential stabilizability and discussing the impulsive evolution operators, without compactness and exponential stability of the semigroup governed by original principle...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/673013 |
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| _version_ | 1832551938317615104 |
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| author | JinRong Wang YanLong Yang |
| author_facet | JinRong Wang YanLong Yang |
| author_sort | JinRong Wang |
| collection | DOAJ |
| description | A class of optimal control problems for infinite dimensional impulsive antiperiodic
boundary value problem is considered. Using exponential stabilizability and discussing the impulsive evolution operators,
without compactness and exponential stability of the semigroup governed by original principle operator, we
present the existence of optimal controls. At last, an example is given for demonstration. |
| format | Article |
| id | doaj-art-31b0ad982f0f4a07a8808dd346d2bc0d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-31b0ad982f0f4a07a8808dd346d2bc0d2025-02-03T06:00:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/673013673013Optimal Control of Linear Impulsive Antiperiodic Boundary Value Problem on Infinite Dimensional SpacesJinRong Wang0YanLong Yang1College of Science, Guizhou University, Guiyang, Guizhou 550025, ChinaCollege of Technology, Guizhou University, Guiyang, Guizhou 550004, ChinaA class of optimal control problems for infinite dimensional impulsive antiperiodic boundary value problem is considered. Using exponential stabilizability and discussing the impulsive evolution operators, without compactness and exponential stability of the semigroup governed by original principle operator, we present the existence of optimal controls. At last, an example is given for demonstration.http://dx.doi.org/10.1155/2010/673013 |
| spellingShingle | JinRong Wang YanLong Yang Optimal Control of Linear Impulsive Antiperiodic Boundary Value Problem on Infinite Dimensional Spaces Discrete Dynamics in Nature and Society |
| title | Optimal Control of Linear Impulsive Antiperiodic Boundary Value Problem on Infinite Dimensional Spaces |
| title_full | Optimal Control of Linear Impulsive Antiperiodic Boundary Value Problem on Infinite Dimensional Spaces |
| title_fullStr | Optimal Control of Linear Impulsive Antiperiodic Boundary Value Problem on Infinite Dimensional Spaces |
| title_full_unstemmed | Optimal Control of Linear Impulsive Antiperiodic Boundary Value Problem on Infinite Dimensional Spaces |
| title_short | Optimal Control of Linear Impulsive Antiperiodic Boundary Value Problem on Infinite Dimensional Spaces |
| title_sort | optimal control of linear impulsive antiperiodic boundary value problem on infinite dimensional spaces |
| url | http://dx.doi.org/10.1155/2010/673013 |
| work_keys_str_mv | AT jinrongwang optimalcontroloflinearimpulsiveantiperiodicboundaryvalueproblemoninfinitedimensionalspaces AT yanlongyang optimalcontroloflinearimpulsiveantiperiodicboundaryvalueproblemoninfinitedimensionalspaces |