Dwell Time for the Hurwitz Stability of Switched Linear Differential Equation Systems
Abstract
Keywords
Differential equation systems, Hurwitz stability, Switched system, Dwell time
References
- [1] S. Solmaz, R. Shorten, K. Wulff, F. O’Cairbre, A design methodology for switched discrete time linear systems with applications to automotive roll dynamics control, Automatica, 44(9) (2008), 2358-2363.
- [2] A. Balluchi, M. D. Benedetto, C. Pinello, C. Rossi, A. Sangiovanni-Vincentelli, Cut-off in Engine Control, A Hybrid System Approach, Proceedings of the 36th IEEE Conference on Decision and Control, (1997), 4720–4725.
- [3] B. E. Bishop, M. W. Spong, Control of Redundant Manipulators Using Logic-Based Switching, Proceedings of the 36th IEEE Conference on Decision and Control, (1998), 16–18.
- [4] W. Zhang, M. S. Branicky, S. M. Phillips, Stability of Networked Control Systems, IEEE Control Systems Magazine, 21(1) (1998), 84–99.
- [5] D. Z. Chen, Y. J. Guo, Advances on Switched Systems, Control Theory and Applications, 22(6) (2005), 954–960.
- [6] H. Lin and P. J. Antsaklis, Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results, IEEE Trans. Automat. Contr., 54(2) (2009), 308-322.
- [7] J.P. Hespanha, A.S. Morse, Stability of switched systems with average dwell-time, Proc. of the 38th Conf. on Decision and Control, (1999), 2655–2660.
- [8] O¨ . Karabacak, Dwell time and average dwell time methods based on the cycle ratio of the switching graph, Systems Control Lett., 62(2013), 1032–1037.
- [9] A. Ya. Bulgakov, An effectively calculable parameter for the stability quality of systems of linear differential equations with constant coefficients, Siberian Math. J., 21(1980), 339–347.
- [10] A. Ya. Bulgakov, Matrix Computations with Guaranteed Accuracy in Stability Theory, Selc¸uk University, The Research Center of Applied Mathematics, Konya, 1995.
