Dynamic Equations in Descriptor Form

IEEE Transactions on Automatic Control

Volumn 22, Issue 3, 1977, Pages 312-321

  Luenberger, David G ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SYSTEMS SCIENCE AND CYBERNETICS;

EID: 0017504417     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1977.1101502     Document Type: Article

References (12)

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2. R. E. Kalman, “On the general theory of control systems,” in Proc. 1st IFAC Congr., 1960.
3. L. A. Zadeh and C. A. Desoer, Linear System Theory: The State Space Approach. New York; McGraw-Hill, 1963.
4. S. H. Crandall, D. C. Karnopp, E. F. Kurtz, Jr,, and D. C. Pridmore-Brown, Dynamics of Mechanical and Electromechanical Systems. New York: McGraw-Hill, 1968.
5. F. N. Bailey, “The application of Lyapunov’s second method to interconnected systems,” SIAM J. Contr., ser. A., vol. 3, pp. 443–462, 1965.
6. S. P. Sing and R.-W. Liu, “Existence of state equation representation of linear large-scale dynamical systems,” IEEE Trans. Circuit Theory, vol. CT-20, pp. 239–246, May 1973.
7. M. Enns, J. E. Matheson, J. R. Greenwood, and F. T. Thompson, “Practical aspects of state space methods,” in Proc. 1964 Joint Automatic Control Conf., pp. 494–513.
8. J. H. Anderson, “Matrix methods for the study of a regulated synchronous machine,” Proc. IEEE, vol. 57, pp. 2122–2136, Dec. 1969.
9. P. V. Kokotovic and R. A. Yackel, “Singular perturbation of linear regulators: Basic theorems,” IEEE Trans. Automat. Contr., vol. AC-17, pp. 29–37, Feb. 1972.
10. H. H. Rosenbrock, State-Space and Multivariable Theory. New York: Wiley, 1970.
11. D. G. Luenberger, “Time-invariant descriptor systems,” presented at the 1977 Joint Automatic Control Conf., San Francisco, CA, June 1977.
12. D. G. Luenberger and A. Arbel, “Singular dynamic Leontief systems,” Econometrica, 1977.