Analysis of Switched and Hybrid Systems - Beyond Piecewise Quadratic Methods

Proceedings of the American Control Conference

Volumn 4, Issue , 2003, Pages 2779-2784

  Prajna, Stephen ^a   Papachristodoulou, Antonis ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV METHODS; POLYNOMIALS; THEOREM PROVING; VECTORS;

HYBRID SYSTEMS;

SYSTEM STABILITY;

EID: 0142215247     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

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3. R. A. DeCarlo, M. S. Branicky, S. Pettersson, and B. Lennartson. Perspectives and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE, 88(7):1069-1082, 2000.
4. A. Hassibi and S. P. Boyd. Quadratic stabilization and control of piecewise-linear systems. In Proceedings of ACC, pages 3659-64, 1998.
5. M. Johansson and A. Rantzer. Computation of piecewise quadratic Lyapunov functions for hybrid systems. IEEE Trans. Automat. Control, 43(4):555-559, 1998.
6. A. Papachristodoulou and S. Prajna. On the construction of Lyapunov functions using the sum of squares decomposition. In Proceedings of IEEE CDC, pages 3482-3487, 2002.
7. P. A. Parrilo. Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization. PhD thesis, California Institute of Technology, Pasadena, CA, 2000.
8. S. Pettersson and B. Lennartson. Stability and robustness of hybrid systems. In Proceedings of IEEE CDC, pages 1202-1207, 1996.
9. S. Prajna, A. Papachristodoulou, and P. A. Parrilo. SOSTOOLS: Sum of squares optimization toolbox for MATLAB. Available from http://www.cds.caltech.edu/sostools and http: //www.aut.ee.ethz.ch/̃parrilo/sostools, 2002.