An infinite-time relaxation theorem for differential inclusions

Proceedings of the American Mathematical Society

Volumn 131, Issue 2, 2003, Pages 487-499

  Ingalls, Brian ^a   Sontag, Eduardo D ^a   Wang, Yuan ^b  

^a RUTGERS UNIVERSITY   (United States)

^b FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037323168     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06539-5     Document Type: Conference Paper

References (8)

1. D. Angeli, B. Ingalls, E. D. Sontag, and Y. Wang, A Relaxation Theorem for Asymptotically Stable Differential Inclusions, in preparation.
2. J.-P. Aubin and A. Cellina, Differential Inclusions, Spring-Verlag, Berlin, 1984. MR 85j:49010
3. J.-P. Aubin and H. Frankowska, Set-Valued Analysis, Birkhäuser, Boston, 1990. MR 91d:49001
4. R. M. Colombo, A. Fryszkowski, T. Rzežuchowski, and V. Staicu, Continuous Selections of Solution Sets of Lipschitzean Differential Inclusions, Funkcialaj Ekvacioj, 34 (1991), pp. 321-330. MR 93i:34022
5. K. Deimling, Multivalued Differential Equations, Walter De Gruyter & Co., Berlin, 1992. MR 94b:34026
6. A. F. Filippov, Differential Equations with Discontinuous Righthand Sides, Kluwer Academic, Dordrecht, The Netherlands, 1988. MR 90i:34002
7. A. Fryszkowski and T. Rzežuchowski, Continuous Version of Filippov- Wažewski Relaxation Theorem, Journal of Differential Equations, 94 (1991), pp. 254-265. MR 92j:34031
8. E. D. Sontag and Y. Wang, New characterizations of the input to state stability property, IEEE Transactions on Automatic Control, 41 (1996), pp. 1283-1294. MR 97g:93069