[1]
I. Masubuchi, Y. Kamitane, A. Ohara. And N. Suda. Control for descriptor systems: A matrix inequalities approach [J]. Automatica, 1997, 33(4): 669-673.
DOI: 10.1016/s0005-1098(96)00193-8
Google Scholar
[2]
Xu S Y, Yang C W, Niu Y G, James Lam. Robust Stabilization for uncertain discrete singular systems: a matrix inequalities approach. Automatica, 37(2001): 769-774.
DOI: 10.1016/s0005-1098(01)00013-9
Google Scholar
[3]
Zhang L Q, Lam J, Zhang Q L. Lyapunov and Riccati equations of discrete-time descriptor systems. IEEE Transactions on Automatic control, 1999, 44 (11): 2134-2139.
DOI: 10.1109/9.802931
Google Scholar
[4]
Dorato, P. (1961). Short time stability in linear time-varying systems. In Proceedings of IRE International Convention Record Part 4 (p.83–87).
Google Scholar
[5]
Weiss, L., & Infante, E. F. (1967). Finite time stability under perturbing forces and on product spaces. IEEE Transactions on Automatic Control, 12, 54–59.
DOI: 10.1109/tac.1967.1098483
Google Scholar
[6]
Amato F, Ariola M, & Dorato P. Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica, 2001, 37(9), 1459-1463.
DOI: 10.1016/s0005-1098(01)00087-5
Google Scholar
[7]
Emmanuel Moulay, Wilfrid Perruquetti. Finite time stability and stabilization of a class of continuous systems. J. Math. Anal. Appl. 323 (2006): 1430–1443.
DOI: 10.1016/j.jmaa.2005.11.046
Google Scholar
[8]
Amato F, & Ariola M. Finite-time control of discrete-time linear systems. IEEE Transactions on Automatic Control, 50(2005): 724-729.
DOI: 10.1109/tac.2005.847042
Google Scholar
[9]
Amato F, Ambrosino R, Ariola M, & Calabrese F. Finite-time stability analysis of linear discrete-time systems via polyhedral Lyapunov functions. In Proc. American control conference, 2008, pp.1656-1660.
DOI: 10.1109/acc.2008.4586729
Google Scholar
[10]
Amato F, Ariola M, & Cosentino C. Finite-time stabilization via dynamic output feedback. Automatica, 42 (2006): 337-342.
DOI: 10.1016/j.automatica.2005.09.007
Google Scholar
[11]
Amato F, Ariola M, Carbone M, & Cosentino C. Finite-time control of discrete-time linear systems: Analysis and design conditions Finite-time output feedback control of discrete-time systems. Automatica, 46 (2010): 919-924.
DOI: 10.1016/j.automatica.2010.02.008
Google Scholar
[12]
Garcia G, Tarbouriech S, & Bernussou J. Finite-time stabilization of linear time-varying continuous systems. IEEE Transactions on Automatic Control, 54 (2009): 364-369.
DOI: 10.1109/tac.2008.2008325
Google Scholar
[13]
Zhu L, Shen Y J, Li C C. Finite-time control of discrete-time systems with time-varying exogenous disturbance. Communications in Nonlinear Science and Numerical Simulation, 14 (2009): 361–370.
DOI: 10.1016/j.cnsns.2007.09.013
Google Scholar
[14]
Ambrosino R, Calabrese F, Cosentino C, & De Tommasi G. Sufficient conditions for finite-time stability of impulsive dynamical systems. IEEE Transactions on Automatic Control, 54(2009): 861-865.
DOI: 10.1109/tac.2008.2010965
Google Scholar
[15]
Zhao S, Sun J, & Liu L. Finite-time stability of linear time-varying singular systems with impulsive effects. International Journal of Control, 2008, 81(11): 1824-1829.
DOI: 10.1080/00207170801898893
Google Scholar
[16]
Zhang X F, Feng G, Sun Y H. Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems. Automatica, 48 (2012): 499–504.
DOI: 10.1016/j.automatica.2011.07.014
Google Scholar