Optimal control of causal differential-algebraic systems

DOI10.1016/S0022-247X(02)00040-9zbMath1020.49001OpenAlexW2059850999MaRDI QIDQ1614682

Michael Valášek, Tomáš Roubíček

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00040-9

zbMATH Keywords

optimal controlmaximum principlenecessary optimality conditionsdifferential-algebraic equationsroboticsexistence theory

Mathematics Subject Classification ID

Automated systems (robots, etc.) in control theory (93C85) Existence theories for optimal control problems involving ordinary differential equations (49J15) Robot dynamics and control of rigid bodies (70E60) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (10)

A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ Strongly absolute stability of Lur'e type differential-algebraic systems ⋮ Optimal control of implicit control systems and its applications to differential complementarity problems ⋮ Joint-coordinate adjoint method for optimal control of multibody systems ⋮ Necessary optimality conditions for implicit control systems with applications to control of differential algebraic equations ⋮ Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index ⋮ Self-adjoint differential-algebraic equations ⋮ On Mayer problem for systems governed by second-order ODE ⋮ A globally convergent semi-smooth Newton method for control-state constrained DAE optimal control problems ⋮ A Differential-Algebraic Riccati Equation for Applications in Flow Control

Cites Work

• The existence of optimal controls
• Singular control systems
• Existence of optimum controls
• Maximum principle for implicit control systems
• Necessary conditions for optimal control problems involving nonlinear differential algebraic equations
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Convergence analysis of a computational method for optimal control of non-linear differential-algebraic systems
• Optimal control problems for singular systems
• On Certain Questions in the Theory of Optimal Control
• A refinement on existence results in nonconvex optimal control
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal control of causal differential-algebraic systems