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Path-Complete Graphs and Common Lyapunov Functions

Bibliographic reference Angeli, David ; Athanasopoulos, Nikolaos ; Jungers, Raphaël M. ; Philippe, Matthew. Path-Complete Graphs and Common Lyapunov Functions.the 20th International Conference (Pittsburgh, Pennsylvania, USA, du 18/4/2017 au 20/4/2017). In: Proceedings of the 20th International Conference on Hybrid Systems: Computation and Control - HSCC '17, ACM Press2017
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  1. Shorten Robert, Wirth Fabian, Mason Oliver, Wulff Kai, King Christopher, Stability Criteria for Switched and Hybrid Systems, 10.1137/05063516x
  2. Philippe Matthew, Essick Ray, Dullerud Geir E., Jungers Raphaël M., Stability of discrete-time switching systems with constrained switching sequences, 10.1016/j.automatica.2016.05.015
  3. Parrilo Pablo A., Jadbabaie Ali, Approximation of the joint spectral radius using sum of squares, 10.1016/j.laa.2007.12.027
  4. Lin Hai, Antsaklis Panos J., Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results, 10.1109/tac.2008.2012009
  5. Liberzon D., Morse A.S., Basic problems in stability and design of switched systems, 10.1109/37.793443
  6. Lee Ji-Woong, Dullerud Geir E., Uniform stabilization of discrete-time switched and Markovian jump linear systems, 10.1016/j.automatica.2005.08.019
  7. Kozyakin Victor, The Berger–Wang formula for the Markovian joint spectral radius, 10.1016/j.laa.2014.01.022
  8. Raphael M Jungers, WPMH Heemels, and Atreyee Kundu. Observability and controllability analysis of linear systems subject to data losses. arXiv preprint arXiv:1609.05840, 2016.
  9. Raphael M Jungers, Amirali Ahmadi, Pablo Parrilo, and Mardavij Roozbehani. A characterization of lyapunov inequalities for stability of switched systems. arXiv preprint arXiv:1608.08311, 2016.
  10. Raphaël Jungers. The joint spectral radius. Lecture Notes in Control and Information Sciences, 385, 2009.
  11. Johansson M., Rantzer A., Computation of piecewise quadratic Lyapunov functions for hybrid systems, 10.1109/9.664157
  12. Rafal Goebel, Tingshu Hu, and Andrew R Teel. Dual matrix inequalities in stability and performance analysis of linear differential/difference inclusions. In Current trends in nonlinear systems and control, pages 103--122. Springer, 2006.
  13. Essick Ray, Lee Ji-Woong, Dullerud Geir E., Control of Linear Switched Systems With Receding Horizon Modal Information, 10.1109/tac.2014.2321251
  14. Daafouz J., Riedinger P., Iung C., Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach, 10.1109/tac.2002.804474
  15. Christos G Cassandras and Stephane Lafortune. Introduction to discrete event systems. Springer Science & Business Media, 2009.
  16. Branicky M.S., Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, 10.1109/9.664150
  17. Blondel Vincent D., Tsitsiklis John N., The boundedness of all products of a pair of matrices is undecidable, 10.1016/s0167-6911(00)00049-9
  18. Pierre-Alexandre Bliman and Giancarlo Ferrari-Trecate. Stability analysis of discrete-time switched systems through lyapunov functions with nonminimal state. In Proceedings of IFAC Conference on the Analysis and Design of Hybrid Systems, pages 325--330, 2003.
  19. Athanasopoulos Nikolaos, Lazar Mircea, Alternative Stability Conditions for Switched Discrete Time Linear Systems, 10.3182/20140824-6-za-1003.01634
  20. Ahmadi Amir Ali, Jungers Raphaël M., Parrilo Pablo A., Roozbehani Mardavij, Joint Spectral Radius and Path-Complete Graph Lyapunov Functions, 10.1137/110855272