Necessary and Sufficient Conditions for Finite-Time Stability of Linear Systems

Proceedings of the American Control Conference

Volumn 5, Issue , 2003, Pages 4452-4456

  Amato, F ^a   Ariola, M ^b   Cosentino, C ^b   Abdallah, C T ^c   Dorato, P ^c  

^a UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FUNCTIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; PROBLEM SOLVING; SYSTEM STABILITY; THEOREM PROVING;

FINITE-TIME STABILITY;

LINEAR CONTROL SYSTEMS;

EID: 0142199989     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. C.T. Abdallah, F. Amato, M. Ariola, P. Dorato, and V. Koltchinski. Statistical learning methods in linear algebra and control problems: the example of finite-time control of uncertain linear systems. Linear Algebra and its Applications, 351-352:11-26, August 2002.
2. F. Amato, M. Ariola, and P. Dorato. Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica, 37(9) : 1459-1463, September 2001.
3. ∞-Optimal Control and Related Minimax Design Problems. Birkhäuser, 1991.
4. F. M. Callier and G. A. Desoer. Linear System theory. Springer Verlag, 1991.
5. H. D'Angelo. Linear Time-Varying Systems: Analysis and Synthesis. Allyn and Bacon, 1970.
6. P. Dorato. Short time stability in linear time-varying systems. Proc. IRE International Convention Record Part 4, pages 83-87, 1961.
7. ∞ control with transients. Siam J. Control and Optimization, 29(6):1373-1393, November 1991.
8. L. Weiss and E. F. Infante. Finite time stability under perturbing forces and on product spaces. IEEE Trans. Auto. Contr., 12:54-59, 1967.