| Citation: | SUN Ji-tao, WU Qi-di. Impulsive Control for the Stabilization and Synchronization of Lur’e Systems[J]. Applied Mathematics and Mechanics, 2004, 25(3): 291-296. | 
	                | [1] | 
					 Lakshmikantham V,Bainov D D,Simeonov P S.Theory of Impulsive Differential Equations[M].Singapore:World Scientific,1989. 
					
					 | 
			
| [2] | 
					 Samoilenko A M,Perestyuk N A.Impulsive Differential Equations[M].Singapore: World Scientific,1995. 
					
					 | 
			
| [3] | 
					 Yang T.Impulsive control[J].IEEE Trans Automat Contr,1999,44(5):1081—1083. doi:  10.1109/9.763234 
					
					 | 
			
| [4] | 
					 Schweizer J,Kennedy M P.Predictive Poincare control: A control theory for chaotic systems[J].Phys Rev E,1995,52(5):4865—4867. doi:  10.1103/PhysRevE.52.4865 
					
					 | 
			
| [5] | 
					 Hunt E R,Johnson G.Keeping chaos at bay[J].IEEE Spectrum,1993,30(11):32—36. 
					
					 | 
			
| [6] | 
					 Stojanovski T,Kocarev L,Parlitz U.Driving and synchronizing by chaotic impulses[J].Phys Rev E,1996,43(9):782—785. 
					
					 | 
			
| [7] | 
					 Yang T,Yang L B,Yang C M.Impulsive synchronization of Lorenz systems [J].Phys Lett A,1997,226(6):349—354. doi:  10.1016/S0375-9601(97)00004-2 
					
					 | 
			
| [8] | 
					 Amirtkar R E,Gupte N.Synchronization of chaotic orbits:The effect of a finite time step[J].Phys Rev E(Statistical Physics,Plasmas,Fluids and Related Interdisciplinary,Topics),1993,47(6):3889—3895. 
					
					 | 
			
| [9] | 
					 Yang T,.Chua L O.Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication [J].Int J Bifur Chaos,1997,7(3):645—664. doi:  10.1142/S0218127497000443 
					
					 | 
			
| [10] | 
					 Yang T,Chua L O.Impulsive control and synchronization of chaotic systems and secure communication[R]. Electronics Research Laboratory, College of Engineering, University of California, Berkeley, CA 94720, Memorandum No. UCN/ERL M97/12, 29 January 1997. 
					
					 | 
			
| [11] | 
					 Yang T,Yang L B,Yang C M.Impulsive control of Lorenz system[J].Phys D, 1997,110:18—24. doi:  10.1016/S0167-2789(97)00116-4 
					
					 | 
			
| [12] | 
					 Yang T,Yang C M,Yang L B.Control of Rossler system to periodic motions using impulsive control methods [J].Phys Lett A,1997,232:356—361. doi:  10.1016/S0375-9601(97)00408-8 
					
					 | 
			
| [13] | 
					 Yang T,Chua L O.Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication [J].IEEE Trans, Circuits Syst I,1997,44(10):976—988. doi:  10.1109/81.633887 
					
					 | 
			
| [14] | 
					 Xie W X,Wen C Y,Li Z G.Impulsive control for the stabilization and synchronization of Lorenz systems [J].Phys Lett A,2000,275: 67—72. doi:  10.1016/S0375-9601(00)00584-3 
					
					 | 
			
| [15] | 
					 Li Z G,Wen C Y,Soh Y C.Analysis and design of impulsive control systems [J].IEEE Trans Automat Contr,2001,46(6):894—903. 
					
					 | 
			
| [16] | 
					 Vidyasagar M.Nonlinear Systems Analysis [M]. London:Prentice-Hall,1993. 
					
					 | 
			
| [17] | 
					 Grujic L J T,Petkovski D J.On robustness of Lur'e systems with multiple non-linearities[J].Automatica,1987,23:327—334. doi:  10.1016/0005-1098(87)90006-9 
					
					 | 
			
| [18] | 
					 Tesk A,Vicino A.Robust absolute stability of Lur'e control systems in parameter space [J].Automatica,1991,27(1):147—151. doi:  10.1016/0005-1098(91)90013-R 
					
					 | 
			
| [19] | 
					 Dahleh M,Tesk A,Vicino A.On the robust Popov criterion for interval Lur'e system [J].IEEE Tansactions on Automatic Control,1993,38:1400—1405. doi:  10.1109/9.237655 
					
					 | 
			
| [20] | 
					 Mori T,Nishimura T, Kuroe Y,et al.Comments on `On the robust Popov criterion for interval Lur'e system'[J].IEEE Tansactions on Automatic Control,1995,40:136—137. doi:  10.1109/9.362884 
					
					 | 
			
| [21] | 
					 Wada T,Ikeda M, Ohta Y,et al.Parametric absolute stability of Lur'e systems[J].IEEE Tansactions on Automatic Control,1998,43(11):1649—1653. doi:  10.1109/9.728889 
					
					 | 
			
| [22] | 
					 Konishi K,Kokame H.Robust stability of Lur'e systems with time-varying uncertainties: a linear matrix inequality approach [J].Int J Systems Science,1999,30(1):3—9. doi:  10.1080/002077299292605 
					
					 | 
			
| [23] | 
					 Ugrinovskii V A,Petersen I R.Guaranteed cost control of uncertain systems via Lur'e-Postnikov Lyapunov functions[J].Automatica,2000,36:279—285. doi:  10.1016/S0005-1098(99)00139-9 
					
					 | 
			
| [24] | 
					 Wada T,Ikeda M, Ohta Y,et al. Parametric absolute stability of multivariable Lur'e systems [J].Automatica,2000,36:1365—1372. doi:  10.1016/S0005-1098(00)00052-2 
					
					 | 
			
| [25] | 
					 孙继涛,邓飞其,刘永清.具滞后的区间Lurie型系统的鲁棒绝对稳定性[J].系统工程与电子技术,2001,23(3):47—50. 
					
					 | 
			
| [26] | 
					 孙继涛,邓飞其,刘永清.不确定Lurie控制系统的绝对稳定性[J].系统工程与电子技术,2001,23(8):58—60. 
					
					 |