Finite-time stabilization of impulsive dynamical linear systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 2782-2787

  Amato, F ^a   Ambrosino, R ^b   Ariola, M ^b   Cosentino, C ^a   De Tommasi, G ^c  

^a UNIVERSITY MAGNA GRAECIA OF CATANZARO   (Italy)

^b UNIVERSITY OF NAPLES PARTHENOPE   (Italy)

^c UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

HYBRID SYSTEMS; LINEAR SYSTEMS;

DESIGN PROBLEMS; FEASIBILITY PROBLEM; FINITE TIME STABILITY; FINITE TIME STABILIZATION; IMPULSIVE DYNAMICAL LINEAR SYSTEMS; STATE TRAJECTORY; STATE-DEPENDENT; TIME DEPENDENT;

LINEAR MATRIX INEQUALITIES;

EID: 62949107247     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4739276     Document Type: Conference Paper

References (10)

1. P. Dorato, "Short time stability in linear time-varying systems," in Proc. IRE International Convention Record Part 4, 1961, pp. 83-87.
2. L. Weiss and E. F. Infante, "Finite time stability under perturbing forces and on product spaces," IEEE Trans. Auto. Contr., vol. 12, pp. 54-59, 1967.
3. F. Amato, M. Ariola, and C. Cosentino, "Finite-Time Stabilization via Dynamic Output Feedback," Automatica, vol. 42, pp. 337-342, 2006.
4. F. Amato, M. Ariola, M. Carbone, and C. Cosentino, "Finite-Time Output Feedback Control of Linear Systems via Differential Linear Matrix Conditions," in Proc. Conf. on Decision and Control, San Diego, CA, 2006, pp. 5371-5375.
5. ∞ control and filtering for sampled-data systems. Ann Arbor, 1993.
6. W. M. Haddad, V. Chellaboina, and S. G. Nersesov, Impulsive and Hybrid Dynamical Systems. Princeton University Press, 2006.
7. R. Ambrosino, F. Calabrese, C. Cosentino, and G. De Tommasi, "On finite-time stability of state dependent impulsive dynamical systems," in Proc. American Control Conf., Seattle, Washington, June 2008, pp. 2897-2902.
8. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. SIAM Press, 1994.
9. ∞ synthesis," Automatica, vol. 32, pp. 1007-1014, 1996.
10. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox. The Mathworks Inc, 1995.