Stability-Like Properties of Differential Inclusions

Set-Valued Analysis

Volumn 5, Issue 1, 1997, Pages 73-88

  Veliov, Vladimir ^a,b  

^a INSTITUTE OF MATHEMATICS AND INFORMATICS   (Bulgaria)

^b UNIVERSITY OF VIENNA   (Austria)

Author keywords

Differential inclusion; Invariance; Stability

Indexed keywords

EID: 0002530874     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008683223676     Document Type: Article

References (13)

1. Artstein, Z.: Stabilization with relaxed controls, Nonlinear Anal. 7 (1983), 1163-1173.
2. Aubin, J.-P. and Cellina, A.: Differential Inclusions, Springer-Verlag, Berlin, 1984.
3. Aubin, J.-P. and Frankowska, H.: Set-Valued Analysis, Birkhäuser, Boston, Basel, Berlin, 1990.
4. Cannarsa, P. and Sinestrari, C.: Convexity properties of the minimal time function, Calculus of Variations, Preprint.
5. Clarke, F., Ledyaev, Y., Stern, R. and Wolenski, P.: Qualitative properties of trajectories of control systems: a survey, J. Dynamic Control Systems 1(1) (1995), 1-48.
6. Clarke, F. and Wolenski, P.: Control systems to sets and their interiors, J. Optim. Theory Appl. 88(1) (1996), 3-23.
7. Deimling, K.: Multivalued Differential Equations, Walter de Gruyter, Berlin, New York, 1992.
8. Kurzhanski, A. and Filippova, T.: On the theory of trajectory tubes - a mathematical formalism for uncertain dynamics, viability and control, in Advances in Nonlinear Dynamics and Control: a Report from Russia, Progr. Systems Control Theory 17, Birkhäuser, Boston, 1993, pp. 122-188.
9. Ledyaev, Y.: Criteria for Viability of Trajectories of Nonautonomous Differential Inclusion and Their Applications, Technical Report CRM 1583, Université de Montréal, Montéal, Canada, 1989.
10. Taubert, K.: Converging multistep methods for initial value problems involving multivalued maps, Computing 27 (1981), 123-136.
11. Veliov, V.: On the Lipschitz continuity of the value function in optimal control, Preprint, Jan. 1993, to appear in J. Optim. Theory Appl.
12. Veliov, V.: Guaranteed Control of Uncertain Systems: Funnel Equations and Existence of Regulation Maps, Working Paper WP-92-62, International Institute for Applied Systems Analysis, Laxenburg, Austria, 1992.
13. Veliov, V.: Sufficient conditions for viability under imperfect measurement, Set-Valued Anal. 1 (1993), 305-317.