Stability of switched linear systems on cones: A generating function approach

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2010, Pages 420-425

  Shen, Jinglai ^a   Hu, Jianghai ^b  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONES; LINEAR SYSTEMS;

ECONOMIC SYSTEM; EUCLIDEAN SPACES; GENERATING FUNCTION APPROACH; GENERATING FUNCTIONS; POSITIVE SYSTEMS; STABILITY ANALYSIS; SWITCHED LINEAR SYSTEM; SWITCHED SYSTEM;

SYSTEM STABILITY;

EID: 79953128198     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2010.5717288     Document Type: Conference Paper

References (15)

1. S. BOYD AND L. VANDENBERGHE. Convex Optimization. Cambridge University Press, 2004.
2. S. BUNDFUSS AND M. DÜR. Copositive Lyapunov functions for switched systems over cones. Systems and Control Letters, Vol. 58, pp. 342-345, 2009.
3. W.P. DAYAWANSA AND C.F. MARTIN. A converse Lyapunov theorem for a class of dynamical systems which undergo switching. IEEE Trans. Automatic Control, Vol. 44(4), pp. 751-760, 1999.
4. L. FAINSHIL,M. MARGARLIOT, AND P. CHIAGANSKY. On stability of positive linear switched systems under arbitrary switching. IEEE Trans. Automatic Control, Vol. 54, pp. 897-899, 2009.
5. L. FRAINA AND S. RINALDI. Positive Linear Systems: Theory and Applications. Wiley Interscience Series, 2000.
6. L. GURVITS, R. SHORTEN, AND O. MASON. On the stability of switched positive linear systems. IEEE Trans. Automatic Control, Vol. 52, pp. 1099-1103, 2007.
7. T. HU, L. MA AND Z. LIN. Stabilization of switched systems via composite quadratic functions. IEEE Trans. Automat. Contr., Vol. 54, pp. 2571-2585, 2008.
8. J. HU, J. SHEN, AND W. ZHANG. Generating functions of switched linear systems: analysis, computation, and stability applications. Accepted by IEEE Trans. Automat. Contr., 2010. http://cobweb.ecn.purdue.edu/?jianghai/ publication.html
9. J. HU, J. SHEN, AND W. ZHANG. A generating function approach to the stability of discrete-time switched linear systems. Hybrid Systems: Computation and Control (HSCC 2010), pp. 273-282, Stockholm, Sweden, April, 2010.
10. D. LIBERZON. Switching in Systems and Control. Birkhauser Boston, MA (2003).
11. H. LIN AND P. ANTSAKLIS. Stability and stabilizability of switched linear systems: A survey of recent results. IEEE Trans. Automat. Contr. 54 (2009) pp. 308-322.
12. O. MASON AND R. SHORTEN. On linear copositive Lyapunov functions and the stability of switched positive linear systems. IEEE Trans. Automatic Control, Vol. 52, pp. 1346-1349, 2007.
13. J. SHEN AND J. HU. Stability of discrete-time conewise linear inclusions and switched linear systems. Proceedings of American Control Conference, pp. 4034-4039, Baltimore, MD, 2010.
14. R. SHORTEN, F. WRITH, O. MASON, K. WULF, AND C. KING. Stability criteria for switching and hybrid systems. SIAM Review, Vol. 45(4), pp. 545-592, 2007.
15. W. ZHANG, A. ABATE, J. HU, AND M.P. VITUS. Exponential stabilization of discrete-time switched linear systems. Automatica, Vol. 45(11), pp. 2526-2536, 2009.