Nonlinear Controllability and Observability

IEEE Transactions on Automatic Control

Volumn 22, Issue 5, 1977, Pages 728-740

  Hermann, Robert ^a   Krener, Arthur J ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, NONLINEAR;

EID: 0017542851     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1977.1101601     Document Type: Article

References (19)

1. B. D. O. Anderson and J. B. Moore Linear Optimal Control. Englewood Cliffs, NJ: Prentice-Hall 1971.
2. W. M. Boothby An Introduction to Differential Manifolds and Riemannian Geometry. New York: Academic 1975.
3. R. W. Brockett System theory on group manifolds and coset spaces SI AM J. Contr., vol. 10, pp. 265-284, 1972.
4. R. W. Brockett Finite Dimensional Linear Systems. New York: Wiley 1970.
5. W. L. Chow Uber Systeme von Linearen Partiellen Dif-ferentialgleichungen erster Ordnung Math. Ann., vol. 117, pp. 98-105, 1939.
6. H. D'Angelo Linear Time-Varying Systems. Boston, MA: Allyn and Bacon 1970.
7. E. W. Griffith and K. S. P. Kumar,” On the observability of nonlinear systems, I J. Math. Anal. Appl., vol. 35, pp. 135-147, 1971
8. G. W. Haynes and H. Hermes nonlinear controllability via Lie theory SI AM J. Contr., vol. 8, pp. 450-460, 1970.
9. R. Hermann On the accessibility problem in control theory Int. Symp. on Nonlinear Differential Equations and Nonlinear Mechanics. New York: Academic Press 1963, pp. 325-332.
10. R. Hermann Differential Geometry and the Calculus of Variations. New York: Academic 1968.
11. R. Hermann The differential geometry of foliations, II J. of Math, and Mech., vol. 11, pp. 303-316, 1962.
12. R. Hermann Some differential geometric aspects of the Lagrange variational problem J. Math, vol. Ill, no. 6, pp. 634-673, 1962.
13. R. Hermann Existence in the large of parallelism homomorphisms Trans. Amer. Math. Soc., vol. 108, pp. 170-183, 1963.
14. R. Hermann Cartan connections and the equivalence problem for geometric structures Contribution to Differential Equations, vol. 3, 1964, pp. 199-248.
15. H. Hermes and J. P. Lasalle Functional Analysis and Time Optimal Control. New York: Academic 1969.
16. Y. M.-L. Kostyukovskii Observability of nonlinear controlled systems Automat. Remote Contr., vol. 9, pp. 1384-1396, 1968.
17. R. Hermann Simple conditions of observability of nonlinear controlled systems Automat. Remote Contr. vol. 10, pp. 1575-1584, 1968.
18. S. R. Kou, D. L. Elliot, and T. J. Tarn Observability of nonlinear systems Inform. Contr., vol. 22, pp. 89-99, 1973.
19. A. J. Krener A generalization of the Pontryagin maximal principle and the bang-bang principle Ph.D. dissertation, University of California, Berkeley, CA 1971.