Necessary stability conditions for neutral-type systems with multiple commensurate delays

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.
   Web of Science ®Google Scholar
• Egorov, A. V. , & Mondié, S. (2014). Necessary stability conditions for linear delay systems. Automatica , 50 (12), 3204–3208.
   Web of Science ®Google Scholar
• Fridman, E. , (2014). Introduction to time-delay systems: Analysis and control . New York: Birkhäuser.
   Google Scholar
• Gomez, M. A. , Cuvas, C. , Mondié, S. , & Egorov, A. V. (2016, December). Scanning the space of parameters for stability regions of neutral type delay systems: A Lyapunov matrix approach. Proceedings of the 55th IEEE conference on decision and control (pp. 3149–3154). Las Vegas, NV, IEEE.
   Google Scholar
• Gomez, M. A. , Egorov, A. V. , & Mondié, S. (2016). Necessary stability conditions for neutral type systems with a single delay. IEEE Transactions on Automatic Control , 62(9), 4691–4697.
   Web of Science ®Google Scholar
• Gomez, M. A. , Egorov, A. V. , & Mondié, S. (2016, June). Obtention of the functional of complete type for neutral type delay systems via a new Cauchy formula. Proceedings of the13th IFAC workshop on time delay systems (pp. 118–123). Istanbul: Elsevier.
   Google Scholar
• Gu, K. (2012). A review of some subtleties of practical relevance for time-delay systems of neutral type. ISRN Applied Mathematics , 1–46.
   Google Scholar
• Gu, K. , & Naghnaeian, M. (2011). Stability crossing set for systems with three delays. IEEE Transactions on Automatic Control , 56 (1), 11–26.
   Web of Science ®Google Scholar
• Jarlebring, E. , Vanbiervliet, J. , & Michiels, W. (2011). Characterizing and computing the H 2 norm of time-delay system by solving the delay Lyapunov equation. IEEE Transactions on Automatic Control , 56 (4), 814–825.
   Web of Science ®Google Scholar
• Kharitonov, V. L. (2005). Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: A single delay case. International Journal of Control , 78 (11), 783–800.
   Web of Science ®Google Scholar
• Kharitonov, V. L. (2013). Time-delay systems: Lyapunov functionals and matrices . Basel: Birkhäuser.
   Google Scholar
• Kharitonov, V. L. (2015). Predictor based stabilization of neutral type systems with input delay. Automatica , 52 , 125–134.
   Web of Science ®Google Scholar
• Kuang, Y. (1991). On neutral delay logistic Gause-type predator–prey systems. Dynamics and Stability of Systems , 6 (2), 173–189.
   Google Scholar
• Michiels, W. , & Niculescu, S.-I. (2014). Stability, control, and computation for time-delay systems: An eigenvalue-based approach (Vol. 27). Philadelphia: SIAM.
   Google Scholar
• Niculescu, S.-I. (2001). Delay effects on stability: A robust control approach (Vol. 269). Berlin: Springer Science & Business Media.
   Google Scholar
• Ochoa, G. , Kharitonov, V. L. , & Mondié, S. (2013). Critical frequencies and parameters for linear delay systems: A Lyapunov matrix approach. Systems & Control Letters , 62 (9), 781–790.
   Web of Science ®Google Scholar
• Ochoa, G. , Mondié, S. , & Kharitonov, V. L. (2012). Computation of Imaginary Axis Eigenvalues and Critical Parameters for Neutral Time Delay Systems. In R. Sipahi , T. Vyhlídal , S. I. Niculsecu & P. Pepe (Eds.) Time Delay Systems: Methods, Applications andNew Trends (Vol. 423, pp. 61–71). Berlin: Springer.
   Google Scholar
• Ochoa, G. , Velázquez, J. E. , Kharitonov, V. L. , & Mondié, S. , Lyapunov matrices for neutral type time delay systems (2009). In J. Loiseau , W. Michiels , S. I. Niculsecu , & R. Sipahi (Eds.), Topics in Time Delay Systems (Vol. 388, pp. 61–71). Berlin: Springer.
   Google Scholar
• Olgac, N. , Vyhlídal, T. , & Sipahi, R. (2008). A new perspective in the stability assesment of neutral systems with multiple and cross-talking delays. SIAM Journal on Control and Optimization , 47 (1), 327–344.
   Web of Science ®Google Scholar
• Seuret, A. , & Gouaisbaut, F. (2015). Hierarchy of LMI conditions for the stability analysis of time-delay systems. Systems and Control Letters , 81 , 1–7.
   Web of Science ®Google Scholar
• Sipahi, R. , & Olgac, N. (2006). Complete stability analysis of neutral-type first order two-time-delay systems with cross-talking delays. SIAM Journal on Control and Optimization , 45 (3), 957–971.
   Web of Science ®Google Scholar
• Sipahi, R. , Olgac, N. , & Breda, D. (2010). A stability study on first-order neutral systems with three rationally independent time delays. International Journal of Systems Science , 41 (12), 1445–1455.
   Web of Science ®Google Scholar
• Velázquez-Velázquez, J. E. , & Kharitonov, V. L. (2009). Lyapunov–Krasovskii functionals for scalar neutral type time delay equations. Systems & Control Letters , 58 (1), 17–25.
   Web of Science ®Google Scholar
• Vyhlídal, T. , Michiels, W. , Zítek, P. , & McGahan, P. (2009). Stability impact of small delays in proportional–derivative state feedback. Control Engineering Practice , 17 (3), 382–393.
   Web of Science ®Google Scholar