Analysis and numerical solution of control problems in descriptor form

Mathematics of Control, Signals, and Systems

Volumn 14, Issue 1, 2001, Pages 29-61

  Kunkel, Peter ^a   Mehrmann, Volker ^b   Rath, Werner ^c  

^a Carl von Ossictzky Universitiit Oldenburg   (Germany)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^c Lynx pmc GmbH   (Germany)

Author keywords

Descriptor systems; Differential algebraic equations; Feedback design; Regularization; s index

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; CONVERGENCE OF NUMERICAL METHODS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; VECTORS;

DESCIPTOR SYSTEMS; DIFFERENTIAL ALGEBRAIC EQUATIONS; FEEDBACK DESIGN; REGULARIZATION; SOLVABILITY;

INITIAL VALUE PROBLEMS;

EID: 0034840985     PISSN: 09324194     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009876     Document Type: Article

References (38)

1. Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems
2. Regularization of time-varying descriptor systems by the asvd.
3. Feedback design for regularizing descriptor systems
4. Regularization of descriptor systems by derivative and proportional state feedback
5. Regularization of descriptor systems by output feedback
6. Descriptor systems without controllability at infinity
7. Regularization of linear descriptor systems with variable coefficients
8. A general form for solvable linear time varying singular systems of differential equations
9. The numerical solution of higher index linear time varying singular systems of differential equations
10. Duality, observability, and controllability for linear time-varying descriptor systems
11. Observability for linear time-varying descriptor systems
12. Regularization of descriptor systems by derivative and proportional output feedback
13. Minimum norm regularization of descriptor systems by output feedback
14. Multirate row-methods and latency of electric circuits
15. Systematische Modellbildung mechanischer Systeme auf der Basis von Teilkomponenten
16. Dynamic simulation of terrain vehicles
17. A three-link planar manipulator model
18. Mathematical description of linear dynamical systems
19. Canonical forms for linear differential-algebraic equations with variable coefficients
20. A new look at pencils of matrix valued functions
21. Local and global invariants of linear differential-algebraic equations and their relation
22. A new class of discretization methods for the solution of linear differential-algebraic equations
23. The linear quadratic optimal control problem for linear descriptor systems with variable coefficients
24. Regular solutions of nonlinear differential-algebraic equations and their numerical determination
25. A new software package for the solution of linear differential algebraic equations
26. A geometric treatment of implicit differential-algebraic equations
27. Classical and generalized solutions of time-dependent linear differential algebraic equations
28. Dervative and proportional state feedback for linear descriptor systems with variable coefficients
29. Rollringgetriebe
30. Controllability and observability in time-variable linear systems
31. A nonlinear truck model and its treatment as a multibody system
32. The concepts of differential controllability and differential observability
33. Paradigms and puzzles in the theory of dynamical systems