Numerical investigation of attainability sets of nonlinear controlled differential systems

DOI10.1134/S0005117911060178zbMath1229.65106MaRDI QIDQ647800

Oleg V. Morzhin, Alexander Ivanovich Tyatyushkin

Publication date: 24 November 2011

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsattainability setscontrol optimizationnonlinear controlled differential systems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

Nonlocal improvement of controlling functions and parameters in nonlinear dynamical systems ⋮ Numerical method for solving optimal control problems with phase constraints ⋮ On reachable and controllability sets for minimum-time control of an open two-level quantum system ⋮ Time optimal control problem for the waste water biotreatment model

Uses Software

• ToolboxLS
• Ellipsoidal Toolbox

Cites Work

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• On optimization of position control in attainability tube in a model problem
• Nonlocal improvement of nonlinear controlled processes on the basis of sufficient optimality conditions
• The flexible, extensible and efficient toolbox of level set methods
• Constructive methods of control optimization in nonlinear systems
• Differential equations in control synthesis problems. I: Ordinary systems
• Comparison principle for equations of the Hamilton-Jacobi type in control theory

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