Hybrid impulsive and switching control for the four-dimensional energy resources supply-demand system
 | International Journal of Computer Trends and Technology (IJCTT) |  |
| © - August Issue 2013 by IJCTT Journal | ||
| Volume-4 Issue-8 | ||
| Year of Publication : 2013 | ||
| Authors :Yiqing Ling, Dandan Li, Dun Han, Mei Sun |
Yiqing Ling, Dandan Li, Dun Han, Mei Sun"Hybrid impulsive and switching control for the four-dimensional energy resources supply-demand system"International Journal of Computer Trends and Technology (IJCTT),V4(8):2534-2538 August Issue 2013 .ISSN 2231-2803.www.ijcttjournal.org. Published by Seventh Sense Research Group.
Abstract:- In this paper, a theoretical method for analyzing the stability of the energy supply-demand system under the impulsive and switching control is considered. By employing the theory of impulsive differential equation, several sufficient conditions ensuring the exponential stability of the system are obtained. Numerical simulations are given to verify the effectiveness of the theoretical analysis.
References-
[1] M. Sun, Q. Jia, and L.X. Tian, “A new four-dimensional energy resources system and its linear feedback control,” Chaos Solitons and Fractals, vol.39, no.1, pp.101-108, 2009.
[2] M. Barkhordari Yazdi, M.R. Jahed-Motlagh, S.A. Attia, and J. Raisch, “Modal exact linearization of a class of second-order switched nonlinear systems,” Nonlinear Analysis: Real World Applications, vol.11, no.4, pp.2243–2252, 2010.
[3] R. Shorten, F.Wirth, O. Mason, K.Wulff, and C. King, “Stability criteria for switched and hybrid systems,” SIAM Rev, vol.49, no.4, pp.545-592, 2007.
[4] R. Goebel, R.G Sanfelice, and A. R. Teel, “Hybrid Dynamical Systems,” IEEE Control Systems, vol.29, no.2, pp28-93, 2002.
[5] G. Davrazos and N.T. Koussoulas, “A review of stability results for switched and hybrid systems,” in: Proc. of 9th Mediterranean Conference on Control and Automation, 2001.
[6] Z.H. Guan, D. Hill, and X. Shen, “On hybrid impulsive and switching systems and application to nonlinear control,” IEEE Trans. Autom. Control vol.50, no.7 pp.1058-1062, 2005.
[7] D. Liberzon and A.S. Morse, “Basic problems in stability and design of switched systems,” IEEE Control System. Mag, vol.19, no.5, pp.59-70, 1999.
[8] D. Bainov and P. Simeonov, “Systems with Impulse Effect: Stability, Theory and Applications,” Halsted Press, New York, 1989.
[9] V. Lakshmikantham, D. Bainov, and P. Simeonov, “Theory of Impulsive Differential Equations”, World Scientific, Singapore, 1989.
[10] Z. Li, Y. Soh, and C.Wen, “Switched and Impulsive Systems Analysis, Design, and Applications,” Springer-Verlag, Berlin, Heidelberg, 2005.
[11] X.Z. Liu and P. Stechlinski, “Pulse and constant control schemes for epidemic models with seasonality, ” Nonlinear Analysis: Real World Applications, vol.12, pp.931–946, 2011.
[12] F.F. Li and J.T. Sun, “Stability analysis of a reduced model of the lac operon under impulsive and switching control,” Nonlinear Analysis: Real World Applications vol.12,pp.1264–1277,2011.
Keywords : — Energy, supply-demand, hybrid control, switched Lyapunov function.