Global optimization of polynomial-expressed nonlinear optimal control problems with semidefinite programming relaxation (Q1928270)
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scientific article; zbMATH DE number 6121318
| Language | Label | Description | Also known as |
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| English | Global optimization of polynomial-expressed nonlinear optimal control problems with semidefinite programming relaxation |
scientific article; zbMATH DE number 6121318 |
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Global optimization of polynomial-expressed nonlinear optimal control problems with semidefinite programming relaxation (English)
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3 January 2013
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The author is concerned with optimal control problems with the constraint conditions of differential equations and the performance index being expressed as polynomials of the state and control functions. The optimal control problems are transformed into relaxed optimal control problems with linear constraint conditions of differential equations, a linear performance index, and a matrix inequality condition with semidefinite programming relaxation. A global optimization method is discussed to solve the relaxed optimal control problems. An example is also given to show the efficiency of the method.
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optimal control
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nonlinear control
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global optimization
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semidefinite programming
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0.7881918549537659
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0.7782248258590698
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0.7708722352981567
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