Finite-time stability of discrete-time systems

Proceedings of the American Control Conference

Volumn 2, Issue , 2004, Pages 1440-1444

  Amato, F ^a   Carbone, M ^b   Ariola, M ^c   Cosentino, C ^c  

^a UNIVERSITY MAGNA GRAECIA OF CATANZARO   (Italy)

^b UNIVERSITY MEDITERRANEA OF REGGIO CALABRIA   (Italy)

^c UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Discrete time linear systems; Finite time stability; State feedback

Indexed keywords

CONTROL PROBLEMS; DISCRETE TIME LINEAR SYSTEMS; FINITE TIME STABILITY; STATE TRANSITION MATRIX;

ALGORITHMS; ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; FINITE ELEMENT METHOD; LINEAR SYSTEMS; LYAPUNOV METHODS; PROBLEM SOLVING; STATE FEEDBACK; THEOREM PROVING; UNCERTAIN SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 8744311424     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. F. Amato, M. Ariola, and C. Cosentino. Finite time control via output feedback: A general approach. Proc. of the 2003 IEEE Conference on Decision and Control, Honolulu, Dec. 2003.
2. F. Amato, M. Ariola, C. Cosentino, C. Abdallah, and P. Dorato. Necessary and sufficient conditions for finite-time stability of linear systems. Proc. of the 2003 American Control Conference, Detroit (CO), June 2003.
3. F. Amato, M. Ariola, and P. Dorato. Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica, 37(9):1459-1463, Sept. 2001.
4. F. Amato, M. Mattei, and A. Pironti. Necessary and sufficient conditions for quadratic stability of linear discret-time systems. IEEE Trans. Auto. Contr., 43:227-229, 1998.
5. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory. SIAM Press, 1994.
6. F. M. Callier and C. A. Desoer. Linear System Theory. Springer-Verlag, New York, 1991.
7. H. D'Angelo. Linear Time-Varying Systems: Analysis and Synthesis. Allyn and Bacon, Boston, 1970.
8. P. Dorato. Short time stability in linear time-varying systems. In Proc. IRE International Convention Record Part 4, pages 83-87, 1961.
9. P. Cabinet, A. Nemirovski, A. J. Laub, and M. Chilali. LMI Control Toolbox. The Mathworks Inc, Natick, MA, 1995.
10. L. Weiss and E. F. Infante. Finite Time Stability Under Perturbing Forces and on Product Spaces. IEEE Trans. Auto. Contr., 12:54-59, 1967.