Applying the canonical dual theory in optimal control problems

DOI10.1007/s10898-009-9474-3zbMath1258.49058OpenAlexW1963645341MaRDI QIDQ693127

Dan Wu, Jinghao Zhu, David Yang Gao

Publication date: 7 December 2012

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

Full work available at URL: https://doi.org/10.1007/s10898-009-9474-3

zbMATH Keywords

global optimizationoptimal controlcanonical dual method

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Duality theory (optimization) (49N15)

Related Items (4)

Singular optimal control by minimizer flows ⋮ Solutions to constrained optimal control problems with linear systems ⋮ A feedback optimal control by Hamilton-Jacobi-Bellman equation ⋮ Solution to singular optimal control by backward differential flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimization and control of bilinear systems. Theory, algorithms, and applications
• Optimization and cooperative control strategies. Proceedings of the 8th international conference on cooperative control and optimization, Gainesville, FL, USA, January 30--February 1, 2008
• A study on concave optimization via canonical dual function
• An approximation to discrete optimal feedback controls
• Canonical duality theory and solutions to constrained nonconvex quadratic programming
• Duality principles in nonconvex systems. Theory, methods and applications
• Solutions and optimality criteria to box constrained nonconvex minimization problems
• Efficient Calculation of Bounds on Spectra of Hessian Matrices

This page was built for publication: Applying the canonical dual theory in optimal control problems