The Propagation of Parametric Uncertainty Via Polytopes

IEEE Transactions on Automatic Control

Volumn 24, Issue 2, 1979, Pages 346-349

  Barmish, B Ross ^a   Sankaran, Jaishankar ^b  

^a UNIVERSITY OF ROCHESTER   (United States)

^b YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, DISCRETE TIME;

EID: 0018456015     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1979.1102011     Document Type: Article

References (8)

1. H. S. Witsenhausen, “Sets of possible states of linear systems given perturbed observations,” IEEE Trans. Automat. Contr., pp. 556–558, Oct. 1968.
2. M. H. Harnza and M. E. Rasmy, “A simple method for determining the reachable set for linear discrete systems,’” IEEE Trans. Automat. Contr., pp. 281–282, June 1971.
3. J. N. Lin, “Determination of the reachable set for a linear discrete system,” IEEE Trans. Automat. Contr., p. 547, Aug. 1972.
4. H. S. Witsenhausen, “A remark on reachable sets of linear systems,” IEEE Trans. Automat. Contr., pp. 339–342, June 1970.
5. D. P. Bertsekas and I. B. Rhodes, “Recursive state estimation for a set-membership description of uncertainty,” IEEE Trans. Automat. Contr., pp. 117–127, Apr. 1971.
6. F. C. Schweppe, “Recursive state estimation: Unknown but bounded errors and system inputs,” IEEE Trans. Automat. Contr., pp. 22–28, Feb. 1968.
7. J. Sankaran and B. R. Barmish, “State estimation in the presence of uncertain dynamics,” in Proc. 1977 Joint Automat. Contr. Conf., San Francisco, CA, pp. 1089–1094.
8. R. T. Rockafellar, Convex Analysis. Princeton, NJ: Princeton Univ. Press, 1972.