Global stabilisation of nonlinear delay systems with a compact absorbing set

References

• Ahmed-Ali, T., Karafyllis, I., & Lamnabhi-Lagarrigue, F. (2013). Global exponential sampled-data observers for nonlinear systems with delayed measurements. Systems and Control Letters, 62(7), 539–549.
   Web of Science ®Google Scholar
• Angeli, D., & Sontag, E.D. (1999). Forward completeness, unbounded observability and their Lyapunov characterizations. Systems and Control Letters, 38(4–5), 209–217.
   Web of Science ®Google Scholar
• Bekiaris-Liberis, N., & Krstic, M. (2012). Compensation of time-varying input and state delays for nonlinear systems. Journal of Dynamic Systems, Measurement, and Control, 134(1), doi: 10.1115/1.4005278
   Web of Science ®Google Scholar
• Bekiaris-Liberis, N., & Krstic, M. (2013a). Compensation of state-dependent input delay for nonlinear systems. IEEE Transactions on Automatic Control, 58, 275–289.
   Web of Science ®Google Scholar
• Bekiaris-Liberis, N., & Krstic, M. (2013b). Robustness of nonlinear predictor feedback laws to time- and state-dependent delay perturbations. Automatica, 49(6), 1576–1590.
   Web of Science ®Google Scholar
• Germani, A., Manes, C., & Pepe, P. (2002). A new approach to state observation of nonlinear systems with delayed output. IEEE Transactions on Automatic Control, 47(1), 96–101.
   Web of Science ®Google Scholar
• Karafyllis, I. (2011). Stabilization by means of approximate predictors for systems with delayed input. SIAM Journal on Control and Optimization, 49(3), 1100–1123.
   Web of Science ®Google Scholar
• Karafyllis, I., & Jiang, Z.-P. (2011). Stability and stabilization of nonlinear systems (Series: Communications and Control Engineering). London: Springer-Verlag.
   Google Scholar
• Karafyllis, I., & Krstic, M. (2012a). Nonlinear stabilization under sampled and delayed measurements, and with inputs subject to delay and zero-order hold. IEEE Transactions on Automatic Control, 57(5), 1141–1154.
   Web of Science ®Google Scholar
• Karafyllis, I., & Krstic, M. (2012b). Numerical schemes for nonlinear predictor feedback. Mathematics of Control, Signals and Systems (see also arXiv:1211.1121 [math.OC]). Manuscript submitted for publication.
   Google Scholar
• Karafyllis, I., & Krstic, M. (2013a). Stabilization of nonlinear delay systems using approximate predictors and high-gain observers. Automatica, 49(12), 3623–3631.
   Google Scholar
• Karafyllis, I., & Krstic, M. (2013b). On the relation of delay equations to first-order hyperbolic partial differential equations. ESAIM Control, Optimisation and Calculus of Variations (see also arXiv:1302.1128 [math.OC]). Manuscript submitted for publication.
   Web of Science ®Google Scholar
• Khalil, H.K. (1996). Nonlinear systems (2nd ed.). Upper Saddle River, NJ: Prentice-Hall.
   Google Scholar
• Krstic, M. (2004). Feedback linearizability and explicit integrator forwarding controllers for classes of feedforward systems. IEEE Transactions on Automatic Control, 49(10), 1668–1682.
   Web of Science ®Google Scholar
• Krstic, M. (2008). Lyapunov tools for predictor feedbacks for delay systems: Inverse optimality and robustness to delay mismatch. Automatica, 44(11), 2930–2935.
   Web of Science ®Google Scholar
• Krstic, M. (2009). Delay compensation for nonlinear, adaptive, and PDE systems. Boston, MA: Birkhäuser.
   Google Scholar
• Krstic, M. (2010). Input delay compensation for forward complete and strict-feedforward nonlinear systems. IEEE Transactions on Automatic Control, 55(2), 287–303.
   Web of Science ®Google Scholar
• Mazenc, F., Malisoff, M., & Lin, Z. (2008). Further results on input-to-state stability for nonlinear systems with delayed feedbacks. Automatica, 44(9), 2415–2421.
   Web of Science ®Google Scholar
• Mazenc, F., Mondie, S., & Francisco, R. (2004). Global asymptotic stabilization of feedforward systems with delay at the input. IEEE Transactions on Automatic Control, 49(5), 844–850.
   Web of Science ®Google Scholar
• Stuart, A.M., & Humphries, A.R. (1998). Dynamical systems and numerical analysis. Cambridge: Cambridge University Press.
   Google Scholar
• Temam, R. (1997). Infinite-dimensional dynamical systems in mechanics and physics (2nd ed.). New York, NY: Springer-Verlag.
   Google Scholar