Reliable control for linear systems with time-varying delays and parameter uncertainties

References

• M.S. Alwan, X. Liu, and W.-C. Xie, On design of robust reliable H∞ control and input-to-state stabilization of uncertain stochastic systems with state delay, Commun. Nonlinear Sci. Numer. Simul. 18 (2013), pp. 1047–1056. doi: 10.1016/j.cnsns.2012.08.029
   Web of Science ®Google Scholar
• A. Arunkumar, R. Sakthivel, and K. Mathiyalagan, Robust reliable H∞ control for stochastic neural networks with randomly occurring delays, Neurocomputing 149 (2015), pp. 1524–1534. doi: 10.1016/j.neucom.2014.08.040
   Web of Science ®Google Scholar
• E.K. Boukas and Z.K. Liu, Deterministic and stochastic time delay systems, Birkhauser, Boston, 2002, p. 48.
   Google Scholar
• R. Dey, S. Ghosh, G. Ray, and A. Rakshit, State feedback stabilization of uncertain linear time-delay systems: A nonlinear matrix inequality approach, Numer. Linear Algebr. Appl. 18 (2011), pp. 351–361. doi: 10.1002/nla.731
   Web of Science ®Google Scholar
• J. Feng and S.Q. Wang, Reliable fuzzy control for a class of nonlinear networked control systems with time delay, Acta Automat. Sin. 38 (2012), pp. 1091–1099. doi: 10.3724/SP.J.1004.2012.01091
   Google Scholar
• E. Fridman and U. Shaked, An improved stabilization method for linear time-delay systems, IEEE Trans. Autom. Control 47 (2002), pp. 1931–1937. doi: 10.1109/TAC.2002.804462
   Web of Science ®Google Scholar
• E. Fridman and U. Shaked, Delay dependent stability and H∞ control: Constant and time-varying delays, IEEE Trans. Autom. Control 76 (2003), pp. 48–60.
   Google Scholar
• K.H. Kim, M.J. Park, and O.M. Kwon, Reliable control for linear dynamic systems with time-varying delays and randomly occurring disturbances, Trans. KIEE 63 (2014), pp. 976–986.
   Google Scholar
• O.M. Kwon, Ju.H. Park, S.M. Lee, and E.J. Cha, New augmented Lyapunov–Krasovskii functional approach to stability analysis of neural networks with time-varying delays, Nonlinear Dyn. 76 (2014), pp. 221–236. doi: 10.1007/s11071-013-1122-2
   Web of Science ®Google Scholar
• O.M. Kwon, M.J. Park, Ju.H. Park, S.M. Lee, and E.J. Cha, Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality, J. Frankl. Inst. 351 (2014), pp. 5386–5398. doi: 10.1016/j.jfranklin.2014.09.021
   Web of Science ®Google Scholar
• Y.S. Lee, Y.S. Moon, and W.H. Kwon, Delay-dependent guaranteed cost control for uncertain state-delayed systems, in Proceedings of the American Control Conference, Arlington, VA, 2001, pp. 3376–3381.
   Google Scholar
• T. Li, L. Guo, and Y. Zhang, Delay-range-dependent robust stability and stabilization for uncertain systems with time-varying delay, Int. J. Robust Nonlinear Control 18 (2008), pp. 1372–1387. doi: 10.1002/rnc.1280
   Web of Science ®Google Scholar
• C.H. Lien, K.W. Yu, Y.F. Lin, Y.J. Chung, and L.Y. Chung, Robust reliable H-infinite control for uncertain nonlinear systems via LMI approach, Appl. Math. Comput. 198 (2008), pp. 453–462.
   Web of Science ®Google Scholar
• Y. Liu, J. Wang, and G.-H. Yang, Reliable control of uncertain nonlinear systems, Automatica 34 (1998), pp. 875–879. doi: 10.1016/S0005-1098(98)00027-2
   Web of Science ®Google Scholar
• Y. Liu, Z. Wang, and W. Wang, Robust reliable control for discrete-time-delay systems with stochastic nonlinearities and multiplicative noises, Optim. Control Appl. Methods 32 (2011), pp. 285–297. doi: 10.1002/oca.938
   Web of Science ®Google Scholar
• K. Mathiyalagan, R. Sakthivel, and Ju.H. Park, Robust reliable control for neutral-type nonlinear systems with time-varying delays, Rep. Math. Phys. 74 (2014), pp. 181–203. doi: 10.1016/S0034-4877(15)60015-5
   Web of Science ®Google Scholar
• Y S. Moon, P.G. Park, and W.H. Kwon, Delay-dependent robust stabilization of uncertain state-delayed systems, Int. J. Control 74 (2011), pp. 1447–1455. doi: 10.1080/00207170110067116
   Web of Science ®Google Scholar
• S. Niculescu, A.T. Neto, J.M. Dion, and D. Luc, Robust stability and stabilization of uncertain linear systems with state delay: Multiple delay case(II), in Proceedings of IFAC Symposium on Robust Control Design, Rio de Janeiro, Brasil, 1994, pp. 469–474.
   Google Scholar
• M.C. de Oliveira and R.E. Skelton, Stability Tests for Constrained Linear Systems, Springer, Berlin, 2001, pp. 241–257.
   Google Scholar
• P.G. Park, J.W. Ko, and C.K. Jeong, Reciprocally convex approach to stability of systems with time-varying delays, Automatica 47 (2011), pp. 235–238. doi: 10.1016/j.automatica.2010.10.014
   Web of Science ®Google Scholar
• C. Peng, T.C. Yang, and E.G. Tian, Robust fault-tolerant control of networked control systems with stochastic actuator failure, IET Control Theory Appl. 4 (2010), pp. 3003–3011. doi: 10.1049/iet-cta.2009.0427
   Web of Science ®Google Scholar
• R. Sakthivel, P. Selvaraj, K. Mathiyalagan, and Ju.H. Park, Robust fault-tolerant H∞ control for offshore steel jacket platforms via sampled-data approach, J. Frankl. Inst. 352 (2015), pp. 2259–2279. doi: 10.1016/j.jfranklin.2015.03.016
   Web of Science ®Google Scholar
• A. Seuret and F. Gouaisbaut, Wirtinger-based integral inequality: Application to time-delay systems, Automatica 49 (2013), pp. 2860–2866. doi: 10.1016/j.automatica.2013.05.030
   Web of Science ®Google Scholar
• J. Sun, G.P. Liu, and J. Chen, Delay-dependent stability and stabilization of neutral time-delay systems, Int. J. Robust Nonlinear Control 19 (2009), pp. 1364–1375. doi: 10.1002/rnc.1384
   Web of Science ®Google Scholar
• T. Wang, C. Zhang, S. Fei, and T. Li, Further stability criteria on discrete-time delayed neural networks with distributeddelay, Neurocomputing 111 (2013), pp. 195–203. doi: 10.1016/j.neucom.2012.12.017
   Web of Science ®Google Scholar