Analysis and numerical solution of control problems in descriptor form

DOI10.1007/PL00009876zbMath1066.93019OpenAlexW2022607733MaRDI QIDQ5936217

Peter Kunkel, Volker Mehrmann, Werner Rath

Publication date: 2001

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00009876

zbMATH Keywords

regularizationfeedbackdifferential-algebraic equationdescriptor systemstrangeness index

Mathematics Subject Classification ID

Feedback control (93B52) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

Linear port-Hamiltonian descriptor systems ⋮ Numerical solution of hybrid systems of differential-algebraic equations ⋮ Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ The structured controllability radii of higher order systems ⋮ Feedback strategies for discrete-time linear-quadratic two-player descriptor games ⋮ Linear-Quadratic Optimal Control of Differential-Algebraic Systems: The Infinite Time Horizon Problem with Zero Terminal State ⋮ On doubly structured matrices and pencils that arise in linear response theory. ⋮ Index reduction for second order singular systems of difference equations ⋮ On full controllability criteria of a descriptor system. The polynomial solution of a control problem with checkpoints ⋮ Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index ⋮ On the reachability and controllability of positive linear time-invariant dynamic systems with internal and external incommensurate point delays ⋮ Controllability of Linear Differential-Algebraic Systems—A Survey ⋮ Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations ⋮ Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations

Uses Software

• GELDA

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