Finite-time control of discrete-time linear systems: Analysis and design conditions

Automatica

Volumn 46, Issue 5, 2010, Pages 919-924

  Amato, Francesco ^a   Ariola, Marco ^b   Cosentino, Carlo ^a  

^a UNIVERSITY MAGNA GRAECIA OF CATANZARO   (Italy)

^b UNIVERSITY OF NAPLES PARTHENOPE   (Italy)

Author keywords

Discrete time systems; Finite time stability; Linear systems; LMIs; Output feedback

Indexed keywords

ANALYSIS AND DESIGN; DESIGN PROBLEMS; DISCRETE TIME LINEAR SYSTEMS; DISCRETE TIME SYSTEM; DISCRETE-TIME; FINITE TIME STABILITY; FINITE-TIME CONTROL; LYAPUNOV INEQUALITY; NUMERICALLY TRACTABLE; OUTPUT FEEDBACK; OUTPUT FEEDBACK CONTROLLER; STATE TRANSITION MATRIX; SUFFICIENT CONDITIONS; TIME VARYING LINEAR SYSTEMS;

CLOSED LOOP SYSTEMS; DIGITAL CONTROL SYSTEMS; LINEAR SYSTEMS; SYSTEM STABILITY;

DISCRETE TIME CONTROL SYSTEMS;

EID: 77950626955     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.02.008     Document Type: Article

References (14)

1. Amato, F., Ambrosino, R., Ariola, M., & Calabrese, F. (2008). Finite-time stability analysis of linear discrete-time systems via polyhedral Lyapunov functions. In Proc. American control conference (pp. 1656-1660).
2. Amato F., and Ariola M. Finite-time control of discrete-time linear systems. IEEE Transactions on Automatic Control 50 (2005) 724-729
3. Amato, F., Ariola, M., Carbone, M., & Cosentino, C. (2005). Finite-time output feedback control of discrete-time systems. In Proceedings of the 16th IFAC world congress.
4. Amato F., Ariola M., and Cosentino C. Finite-time stabilization via dynamic output feedback. Automatica 42 (2006) 337-342
5. Amato, F., Ariola, M., Cosentino, C., Abdallah, C. T., & Dorato, P. (2003). Necessary and sufficient conditions for finite-time stability of linear systems. In Proc. American control conference (pp. 4452-4456).
6. Amato F., Ariola M., and Dorato P. Finite-time control of linear systems subject to parametric uncertainities and disturbances. Automatica 37 9 (2001) 1459-1463
7. Ambrosino R., Calabrese F., Cosentino C., and De Tommasi G. Sufficient conditions for finite-time stability of impulsive dynamical systems. IEEE Transactions on Automatic Control 54 (2009) 861-865
8. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), SIAM Press
9. Dorato, P. (1961). Short time stability in linear time-varying systems. In Proc. IRE international convention record part 4 (pp. 83-87).
10. ∞ synthesis. Automatica 32 (1996) 1007-1014
11. Garcia G., Tarbouriech S., and Bernussou J. Finite-time stabilization of linear time-varying continuous systems. IEEE Transactions on Automatic Control 54 (2009) 364-369
12. Packard A., Balas G., Safonov M., Chiang R., Gahinet P., and Nemirovski A. Robust control toolbox (1984-2006), The Mathworks Inc., Natick, MA
13. Weiss L., and Infante E.F. Finite time stability under perturbing forces and on product spaces. IEEE Transactions on Automatic Control 12 (1967) 54-59
14. Zhao S., Sun J., and Liu L. Finite-time stability of linear time-varying singular systems with impulsive effects. International Journal of Control 81 11 (2008) 1824-1829