First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the setting of integral dynamics, and we work here with constraints of arbitrary high orders. First-order necessary conditions...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2013 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/88816 |
| Online Access: | http://hdl.handle.net/11336/88816 |
| Access Level: | Open access |
| Keyword: | INTEGRAL EQUATIONS OPTIMAL CONTROL SECOND-ORDER OPTIMALITY CONDITIONS STATE CONSTRAINTS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the setting of integral dynamics, and we work here with constraints of arbitrary high orders. First-order necessary conditions of optimality are given by the description of the set of Lagrange multipliers. Second-order necessary conditions are expressed by the nonnegativity of the supremum of some quadratic forms. Second-order sufficient conditions are also obtained in the case where these quadratic forms are of Legendre type. |
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