Near-Optimal Controls of a Class of Volterra Integral Systems |
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| Authors: | Pan L. P. Teo K. L. |
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| Affiliation: | (1) Department of Mathematics, Fudan University, Shanghai, China;(2) Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China |
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| Abstract: | In a recent paper by Zhou (Ref. 1), the concept of near-optimal controls was introduced for a class of optimal control problems involving ordinary differential equations. Necessary and sufficient conditions for near-optimal controls were derived. This paper extends the results obtained by Zhou to a class of optimal control problems involving Volterra integral equations. The results are applied to study near-optimal controls obtained by the control parametrization method. |
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| Keywords: | Near-optimal controls optimal controls Volterra integral systems necessary and sufficient conditions control parametrization |
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