Analysis of Descriptor Systems Using Numerical Algorithms

IEEE Transactions on Automatic Control

Volumn 26, Issue 1, 1981, Pages 139-147

  Sincovec, Richard F ^a   Erisman, Albert M ^b   Yip, Elizabeth L ^b   Epton, Michael A ^b  

^a UNIVERSITY OF COLORADO   (United States)

^b BOEING COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SYSTEMS SCIENCE AND CYBERNETICS;

EID: 0019532422     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1981.1102560     Document Type: Article

References (9)

1. R. K. Brayton, F. G. Gustayson, and G. D. Hachtel, “A new efficient algorithm for solving differential-algebraic systems using implicit backward differentiation formulas,” Proc. IEEE, vol. 60, no. 2, pp. 98–108, 1972.
2. J. C. Butcher, “On the convergence of numerical solutions to ordinary differential equations,” Math. Comp., vol. 20, pp. 1–10, 1966.
3. F. R. Gantmacher, The Theory of Matrices, vol. 2. New York: Chelsea, 1959.
4. C. W. Gear, Numerical Initial Value Problems in Ordinary Differential Equations. Englewood Cliffs, NJ: Prentice-Hall, 1971.
5. C. W. Gear and L. E. Shampine, “A user's view of solving stiff ordinary differential equations,” SIAM Review, vol. 21, no. 1,- pp. 1–17, Jan. 1979.
6. D. G. Luenberger, R. E. Larson, D. N. Stengel, and T. B. Cline, “A descriptor variable approach to modeling and optimization of large-scale scale systems,” in Systems Engineering for Power: Organizational Forms for Large Scale Systems, vol. 1, L. H. Fink and T. A. Trygar, Editors., CONF-7909124-P2. Springfield, VA: NTIS, Oct. 1979.
7. R. F. Sincovec, E. L. Yip, M. A. Epton, J. W. Manke, A. M. Erisman, B. Dembart, and P. Lu, “Solvability of large-scale descriptor systems,” in Systems Engineering for Power: Organizational Forms for Large Scale Systems, vol. 1, L. H. Fink and T. A. Trygar, Editors., CONF-790904-P2. Springfield, VA: NTIS, Oct. 1979.
8. J. H. Wilkinson, “Linear differential equations and ICronecker's canonical form,” in Recent Advances in Numerical Anaksis, C. de Boor and G. H. Golub, Editors. New York: Academic, 1978.
9. E. L. Yip and R. F. Sincovec, “Controllability and observability of continuous descriptor system,” IEEE Trans. Automat. Contr., to appear.