Global optimization of polynomial-expressed nonlinear optimal control problems with semidefinite programming relaxation

DOI10.1007/s10898-011-9797-8zbMath1285.49020OpenAlexW2028313726MaRDI QIDQ1928270

Takeshi Tsuchiya

Publication date: 3 January 2013

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-011-9797-8

zbMATH Keywords

global optimizationoptimal controlnonlinear controlsemidefinite programming

Mathematics Subject Classification ID

Semidefinite programming (90C22) Optimality conditions for problems involving ordinary differential equations (49K15) Numerical methods of relaxation type (49M20)

Uses Software

• OTIS

Cites Work

• Application of stochastic global optimization algorithms to practical problems
• Topics in semidefinite and interior-point methods
• Semidefinite programming relaxations for semialgebraic problems
• An alternative approach for nonlinear optimal control problems based on the method of moments
• Global Optimization with Polynomials and the Problem of Moments
• Conversion of Optimal Control Problems into Parameter Optimization Problems
• Direct trajectory optimization using nonlinear programming and collocation
• The pseudospectral Legendre method for discretizing optimal control problems
• Model structure simplification of Nonlinear Systems via immersion
• Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations
• A Sum of Squares Approximation of Nonnegative Polynomials
• Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity
• Deterministic global optimization in nonlinear optimal control problems

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