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Articles

Stability criteria of high-order delay differential systems

Pages 2095-2103 | Received 09 Jun 2018, Accepted 23 Oct 2018, Published online: 02 Nov 2018

References

  • Breda, D., Maset, S., & Vermiglio, R. (2015). Stability of linear delay differential equatons. New York, NY: Springer.
  • Brown, J. W., & Churchill, R. V. (2004). Complex variables and applications. Beijing: McGraw–Hill Companies, Inc. and China Machine Press.
  • Franklin, G. F., Powell, J. D., & Emami-Naeini, A. (1994). Feedback control of dynamic systems. New York, NY: Addison-Weslay Publishing Company.
  • He, Y., Wang, Q. G., Lin, C., & Wu, M. (2007). Delay-range-dependent stability for systems with time-varying delay. Automatica, 43, 371–376. doi: 10.1016/j.automatica.2006.08.015
  • Hu, G. D., & Hu, X. (2018). Stability criteria of matrix polynomials. International Journal of Control. (to appear). doi:10.1080/00207179.2018.1467045
  • Hu, G. D., & Mitsui, T. (2017). Delay-dependent stability of numerical methods for delay differential systems of neutral type. BIT Numerical Mathematics, 57, 731–752. doi: 10.1007/s10543-017-0650-4
  • Islam, S., Liu, P. X., Saddik, A. E., & Yang, Y. B. (2015). Bilateral control of teleoperation systems with time delay. IEEE/ASME Transactions on Mechatronics, 20, 1–12. doi: 10.1109/TMECH.2013.2297354
  • Johnson, L. W., Dean-Riess, R., & Arnold, J. T. (2000). Introduction to linear algebra. Englewood Cliffs, NJ: Prentice-Hall.
  • Kim, A. V., & Ivanov, A. V. (2015). Systems with delays. Salem, MA: Scrivener Publishing LLC.
  • Kolmanovskii, V. B., & Myshkis, A. (1999). Introduction to theory and applications of functional differential equations. Dordrecht: Kluwer Academic Publishers.
  • Lancaster, P., & Tismenetsky, M. (1985). The theory of matrices with applications. Orlando, FL: Academic Press.
  • Medvedeva, I. V., & Zhabko, A. P. (2015). Synthesis of Razumikhin and Lyapunov-Krasovskii approaches to stability analysis of time-delay systems. Automatica, 51, 372–377. doi: 10.1016/j.automatica.2014.10.074
  • Pepe, P., & Karafyllis, I. (2013). Converse Lyapunov-Krasovskii theorems for systems described by neutral functional differential equations in Hale's form. International Journal of Control, 86, 232–243. doi: 10.1080/00207179.2012.723137
  • Ram, Y. M., Mottershead, J. E., & Tehrani, M. G. (2011). Partial pole placement with time delay in structures using the receptance and the system matrices. Linear Algebra and its Applications, 434, 1689–1696. doi: 10.1016/j.laa.2010.07.014
  • Shi, K., Tang, Y., Liu, X., & Zhong, S. (2017). Non-fragile sampled-data robust synchronization of uncertain delayed chaotic Lurie systems with randomly occuring controller gain function. ISA Transactions, 66, 185–199. doi: 10.1016/j.isatra.2016.11.002
  • Shi, K., Tang, Y., Zhong, S., Yin, C., Huang, X., & Wang, W. (2018). Nonfragile asynchronous control for uncertain chaotic Lurie network systems with Bernoulli stochastic process. International Journal of Robust and Nonlinear Control, 28, 1693–1714. doi: 10.1002/rnc.3980
  • Wang, J., Shi, K., Huang, Q., Zhong, S., & Zhang, D. (2018). Stochastic switched sampled-data control for synchronization of delayed chaotic neural networks with packet dropout. Applied Mathematics and Computation, 335, 211–230. doi: 10.1016/j.amc.2018.04.038
  • Wang, X. T., & Zhang, L. (2017). Partial eigenvalue assignment with time delay in high order system using the receptance. Linear Algebra and its Applications, 523, 335–345. doi: 10.1016/j.laa.2017.02.034

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