354
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Necessary conditions of exponential stability for a class of linear neutral-type time-delay systems

, &
Pages 1289-1297 | Received 23 Jan 2017, Accepted 03 Oct 2017, Published online: 28 Nov 2017

References

  • Cuvas, C. , & Mondié, S. (2016). Necessary stability conditions for delay systems with multiple pointwise and distributed delays. IEEE Transactions on Automatic Control, 61 (7), 1987–1994.
  • Egorov, A. V. , & Mondié, S. (2014a). Necessary conditions for the exponential stability of time-delay systems via the Lyapunov delay matrix. International Journal of Robust and Nonlinear Control, 24 (12), 1760–1771.
  • Egorov, A. V. , & Mondié, S. (2014b). Necessary stability conditions for linear delay systems. Automatica, 50 (12), 3204–3208.
  • Gomez, M. A. , Cuvas, C. , Mondié, S. , & Egorov, A. V. (2016). Scanning the space of parameters for stability regions of neutral type delay systems: A Lyapunov matrix approach. In Proceedings of the 55th conference on decision and control (CDC) (pp. 3149–3154). Las Vegas, Nevada, USA: IEEE.
  • Gomez, M. A. , Egorov, A. V. , & Mondié, S. (2017). Necessary stability conditions for neutral type systems with a single delay. IEEE Transactions on Automatic Control, 62 (9), 4691–4697.
  • Gomez, M. A. , Ochoa, G. , & Mondié, S. (2016). Necessary exponential stability conditions for linear periodic time-delay systems. International Journal of Robust and Nonlinear Control, 26 (18), 3996–4007.
  • Kharitonov, V. L . (2013). Time-delay systems: Lyapunov functionals and matrices . New York, NY: Birkhäuser.
  • Kharitonov, V. L. , & Zhabko, A. P. (2003). Lyapunov–Krasovskii approach to the robust stability analysis of time-delay systems. Automatica, 39 (1), 15–20.
  • Kolmanovskii, V. B. , & Nosov, V. R . (1986). Stability of functional differential equations . London: Academic Press.
  • Krasovskii, N. N. (1956). On using the Lyapunov second method for equations with time delay (in Russia). Prikladnaya Matematika i Mekhanika, 20 , 315–327.
  • Mondié, S. (2012). Assessing the exact stability region of the single-delay scalar equation via its Lyapunov function. IMA Journal of Mathematical Control and Information, 29 (4), 459–470.
  • Mondié, S. , Cuvas, C. , Ramírez, A. , & Egorov, A. V. (2012). Necessary conditions for the stability of one delay systems: A Lyapunov matrix approach. In Proceedings of the 10th IFAC workshop on time delay systems, (pp. 13–18). Boston, MA: Elsevier.
  • Mondié, S. , & Egorov, A. (2011). Some necessary conditions for the exponential stability of one delay systems. In Proceedings of the 8th international conference on electrical engineering, computing science and automatic control, (pp. 103–108). Merida City, Mexico: IEEE.
  • Mondié, S. , Ochoa, G. , & Ochoa, B. (2011). Instability conditions for linear time delay systems: A Lyapunov matrix function approach. International Journal of Control, 84 (10), 1601–1611.
  • Olgac, N. , & Sipahi, R. (2004). A practical method for analyzing the stability of neutral type LTI-time delayed systems. Automatica, 40 (5), 847–853.
  • Su, X. , Shi, P. , Wu, L. , & Basin, M. V. (2014). Reliable filtering with strict dissipativity for T-S fuzzy time-delay systems. IEEE Transactions on Cybernetics, 44 (12), 2470–2483.
  • Wang, Y. T. , Xue, Y. , & Zhang, X. (2016). Less conservative robust absolute stability criteria for uncertain neutral-type Lur'e systems with time-varying delays. Journal of the Franklin Institute, 353 , 816–833.
  • Wang, Y. T. , Zhang, X. , & He, Y. (2012). Improved delay-dependent robust stability criteria for a class of uncertain mixed neutral and Lur'e dynamical systems with interval time-varying delays and sector-bounded nonlinearity. Nonlinear Analysis: Real World Applications, 13 (5), 2188–2194.
  • Yang, C. Y. , Zhang, Q. L. , Sun, J. , & Chai, T. Y. (2011). Lur'e Lyapunov function and absolute stability criterion for Lur'e singularly perturbed systems. IEEE Transactions on Automatic Control, 56 (11), 2666–2671.
  • Yue, D. , & Han, Q. L. (2004). A delay-dependent stability criterion of neutral systems and its application to a partial element equivalent circuit model. IEEE Transactions on Circuits and Systems II: Express Briefs, 51 (12), 685–689.
  • Zeng, H. B. , He, Y. , Wu, M. , & She, J. (2015a). New results on stability analysis for systems with discrete distributed delay. Automatica, 60 , 189–192.
  • Zeng, H. B. , He, Y. , Wu, M. , & She, J. H. (2015b). Free-matrix-based integral inequality for stability analysis of systems with time-varying delay. IEEE Transactions on Automatic Control, 60 (10), 2768–2772.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.