Fast controls and minimum time

Control and Cybernetics

Volumn 29, Issue 4, 2000, Pages 887-894

  Aze D ^a   Carja O ^b  

^a UNIVERSITÉ DE PERPIGNAN   (France)

^b ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

Author keywords

Controllability; Minimum norm; Minimum time function; Rank condition

Indexed keywords

EID: 0346740258     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. CÂRJǍ, O. (1993) The minimal time function in infinite dimensions. SIAM J. Control Optim., 31, 1103-1114.
2. GOZZI, F. and LORETI, P. (1999) Regularity of the minimum time function and minimum energy problems: the linear case. SIAM J. Control Optim., 37, 1195-1221.
3. GYURKOVICS, E. (1984) Hölder condition for the minimum time function of linear systems. System modelling and optimization, Proc. 11th IFIP Conf., Copenhagen 1983, Lect. Notes Control Inf. Sci., 59, 383-392.
4. LEE, E.B. and MARKUS, L. (1967) Foundations of Optimal Control Theory. John Wiley, New York.
5. SEIDMAN, T. (1988) How violent are fast controls? Math. Control, Signals, Syst., 1, 89-95.
6. SEIDMAN, T. and YONG, J. (1997) How violent are fast controls? II. Math. Control, Signals, Syst., 9, 327-340.
7. TRIGGIANI, R. (1992) Constructive steering control functions for linear systems and abstract rank conditions, J. Optim. Theory Appl., 74, 347-367.
8. ZABCZYK, J. (1992) Mathematical Control Theory: An Introduction. Birkhäuser.