Multicriteria optimization of convex dynamical systems

DOI10.1134/S0012266109110123zbMath1183.49031MaRDI QIDQ2655909

Alexander Lotov

Publication date: 27 January 2010

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

differential inclusionsmulticriteria optimization problemsinteractive visualization of the Pareto frontier

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (3)

Method for constructing an external polyhedral estimate of the trajectory tube for a nonlinear dynamic system ⋮ New external estimate for the reachable set of a nonlinear multistep dynamic system ⋮ Regularized extragradient method in multicriteria control problems with inaccurate data

Cites Work

• Properties of a method for polyhedral approximation of the feasible criterion set in convex multiobjective problems
• Approximation of the Pareto-hull of a convex set by polyhedral sets
• Construction of the convex hull of a point set as a system of linear inequalities
• Interactive decision maps. Approximation and visualization of Pareto frontier
• Parallelization of the global extremum searching process
• Optimal control of cooling process in continuous casting of steel using a visualization-based multi-criteria approach
• State estimation for dynamic systems via parallelotopes optimization and parallel computations
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