Robust stability of impulsive systems: A functional-based approach

IFAC Proceedings Volumes - Tập 45 - Trang 412-417 - 2012
C. Briat1, A. Seuret2
1Department of Biosystems Science and Engineering (D-BSSE), Swiss Federal Institute of Technology–Zurich (ETHZ), Mattenstrasse 26, 4058 Basel, Switzerland
2Department of Automatic Control, Gipsa-lab, 961 rue de la Houille Blanche, BP 46, 38402 Grenoble Cedex, France

Tài liệu tham khảo

Bainov, 1989 Briat, 2011, Convergence and equivalence results for the Jensen's inequality - application to time-delay and sampled-data systems, IEEE Transactions on Automatic Control, 56, 1660, 10.1109/TAC.2011.2121410 Briat, 2011, Stability criteria for asynchronous sampled-data systems - a fragmentation approach, 1313 Briat, 2012, A boundary-constrained-functional approach for robust stability analysis of linear impulsive systems, submitted to Systems & Control Letters, 10.1016/j.sysconle.2012.07.008 Briat, 2009, A new delay-SIR model for pulse vaccination, Biomedical signal processing and control, 4, 272, 10.1016/j.bspc.2009.06.003 Cai, 2008, Smooth Lyapunov functions for hybrid systems Part ii: (pre)asymptotically stable compact sets, IEEE Transactions on Automatic Control, 53, 734, 10.1109/TAC.2008.919257 Dullerud, 1999, Asynchronous hybrid systems with jumps analysis and synthesis methods, Systems & Control Letters, 37, 61, 10.1016/S0167-6911(99)00002-X Fridman, 2010, A refined input delay approach to sampled-data control, Automatica, 46, 421, 10.1016/j.automatica.2009.11.017 Geromel, 2006, Stability and stabilization of continuous-time switched linear systems, SIAM Journal on Control and Optimization, 45, 1915, 10.1137/050646366 Goebel, 2009, Hybrid dynamical systems, IEEE Control Systems Magazine, 29, 28, 10.1109/MCS.2008.931718 Hespanha, 2008, Lyapunov conditions for input-to-state stability of impulsive systems, Automatica, 44, 2735, 10.1016/j.automatica.2008.03.021 Liberzon, 2003 Liu, 2012, Wirtinger's inequality and lyapunov-based sampled-data stabilization, Automatica, 48, 102, 10.1016/j.automatica.2011.09.029 Michel, 2008 Naghshtabrizi, 2008, Exponential stability of impulsive systems with application to uncertain sampled-data systems, Systems & Control Letters, 57, 378, 10.1016/j.sysconle.2007.10.009 Seuret, 2009, Stability analysis for sampled-data systems with a time-varying period, 8130 Seuret, 2012, A novel stability analysis of linear systems under asynchronous samplings, Automatica, 48, 177, 10.1016/j.automatica.2011.09.033 Sivashankar, 1994, Characterization of the L2-induced norm for linear systems with jumps with applications to sampled-data systems, SIAM Journal on Control and Optimization, 32, 1128, 10.1137/S0363012991223121 Stone, 2000, Theoretical examination of the pulse vaccination policy in the SIR epidemic model, Mathematical and computer modelling, 31, 201 Sun, 1991, H∞ control and filtering with sampled measurements, American Control Conference, 1991, 1652, 10.23919/ACC.1991.4791660 Yamamoto, 1990, New approach to sampled-data control systems - a function space method, Proceedings of the 29th Conference on Decision and Control, Honolulu, Hawai, 1990 Yang, 2001