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All issues Volume 31 (2025) ESAIM: COCV, 31 (2025) 79 References
Open Access
Issue
ESAIM: COCV
Volume 31, 2025
Article Number 79
Number of page(s) 33
DOI https://doi.org/10.1051/cocv/2025065
Published online 26 September 2025
  1. Z.-H. Luo, N. Kitamura and B.-Z. Guo, Shear force feedback control of flexible robot arms. IEEE Trans. Robot. Autom. 11 (1995) 760–765. [Google Scholar]
  2. Q.C. Nguyen and K.-S. Hong, Transverse vibration control of axially moving membranes by regulation of axial velocity. IEEE Trans. Control Syst. Technol. 20 (2011) 1124–1131. [Google Scholar]
  3. S.M. Han, H. Benaroya and T. Wei, Dynamics of transversely vibrating beams using four engineering theories. J. Sound Vibr. 225 (1999) 935–988. [Google Scholar]
  4. J.-M. Coron, Control and Nonlinearity. No. 136. American Mathematical Society (2007). [Google Scholar]
  5. R. Dáger and E. Zuazua, Wave Propagation, Observation and Control in 1-D Flexible Multi-structures. No. 50. Springer Science & Business Media (2006). [Google Scholar]
  6. A. Smyshlyaev, B.-Z. Guo and M. Krstic, Arbitrary decay rate for Euler–Bernoulli beam by backstepping boundary feedback. IEEE Trans. Autom. Control 54 (2009) 1134–1140. [Google Scholar]
  7. G. Chen, M.C. Delfour, A. Krall and G. Payre, Modeling, stabilization and control of serially connected beams. SIAM J. Control Optim. 25 (1987) 526–546. [Google Scholar]
  8. F.-F. Jin and B.-Z. Guo, Lyapunov approach to output feedback stabilization for the Euler–Bernoulli beam equation with boundary input disturbance. Automatica 52 (2015) 95–102. [Google Scholar]
  9. F. Matsuno, T. Ohno and Y.V. Orlov, Proportional derivative and strain (PDS) boundary feedback control of a flexible space structure with a closed-loop chain mechanism. Automatica 38 (2002) 1201–1211. [Google Scholar]
  10. R. Rebarber, Exponential stability of coupled beams with dissipative joints: a frequency domain approach. SIAM J. Control Optim. 33 (1995) 1–28. [Google Scholar]
  11. T. Chen and B.A. Francis, Input–output stability of sampled-data systems. IEEE Trans. Autom. Control 36 (1991) 50–58. [Google Scholar]
  12. J.-M. Coron and L. Rosier, A relation between continuous time-varying and discontinuous feedback stabilization. J. Math. Syst., Estim. Control 4 (1994) 67–84. [Google Scholar]
  13. E.D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems, vol. 6. Springer Science & Business Media (2013). [Google Scholar]
  14. H. Logemann, R. Rebarber and S. Townley, Stability of infinite-dimensional sampled-data systems. Trans. Am. Math. Soc. 355 (2003) 3301–3328. [Google Scholar]
  15. R. Rebarber and S. Townley, Nonrobustness of closed-loop stability for infinite-dimensional systems under sample and hold. IEEE Trans. Autom. Control 47 (2002) 1381–1385. [Google Scholar]
  16. M.G. Losada Contributions to Networked and Event-triggered Control of Linear Systems. Springer (2016). [Google Scholar]
  17. K.-E. Åarzén, A simple event-based PID controller. IFAC Proc. 32 (1999) 8687–8692. [Google Scholar]
  18. K.J. Åström and B. Bernhardsson, Comparison of periodic and event based sampling for first-order stochastic systems. IFAC Proc. 32 (1999) 5006–5011. [Google Scholar]
  19. N. Espitia, A. Girard, N. Marchand and C. Prieur, Event-based control of linear hyperbolic systems of conservation laws. Automatica 70 (2016) 275–287. [Google Scholar]
  20. N. Espitia, A. Girard, N. Marchand and C. Prieur, Event-based boundary control of a linear 2 × 2 hyperbolic system via backstepping approach. IEEE Trans. Autom. Control 63 (2018) 2686–2693. [Google Scholar]
  21. N. Espitia, I. Karafyllis and M. Krstic, Event-triggered boundary control of constant-parameter reaction-diffusion PDEs: a small-gain approach. Automatica 128 (2021) 109562. [Google Scholar]
  22. F. Koudohode, N. Espitia and M. Krstic, Event-triggered boundary control of an unstable reaction diffusion PDE with input delay. Syst. Control Lett. 186 (2024) 105775. [Google Scholar]
  23. B. Rathnayake, M. Diagne, J. Cortés and M. Krstic, Performance-barrier event-triggered control of a class of reaction-diffusion PDEs. Automatica 174 (2025) 112181. [Google Scholar]
  24. A. Selivanov and E. Fridman, Distributed event-triggered control of diffusion semilinear PDEs. Automatica 68 (2016) 344–351. [Google Scholar]
  25. X. Song, Q. Zhang, S. Song and C.K. Ahn, Event-triggered underactuated control for networked coupled PDE-ODE systems with singular perturbations. IEEE Syst. J. 17 (2023) 4474–4484. [Google Scholar]
  26. J. Wang and M. Krstic, Event-triggered backstepping control of 2×2 hyperbolic PDE-ODE systems. IFAC-PapersOnLine 53 (2020) 7551–7556. [Google Scholar]
  27. B. Rathnayake and M. Diagne, Observer-based periodic event-triggered and self-triggered boundary control of a class of parabolic PDEs. IEEE Trans. Autom. Control 69 (2024) 8836–8843. [Google Scholar]
  28. C. Ji, Z. Zhang and S.S. Ge, Adaptive event-triggered output feedback control for uncertain parabolic PDEs. Automatica 171 (2025) 111917. [Google Scholar]
  29. J. Wang and M. Krstic, Event-triggered adaptive control of a parabolic PDE-ODE cascade with piecewise-constant inputs and identification. IEEE Trans. Autom. Control 68 (2022) 5493–5508. [Google Scholar]
  30. M. Wakaiki and H. Sano, Event-triggered control of infinite-dimensional systems. SIAM J. Control Optim. 58 (2020) 605–635. [Google Scholar]
  31. L. Baudouin, S. Marx and S. Tarbouriech, Event-triggered damping of a linear wave equation. IFAC-PapersOnLine 52 (2019) 58–63. [Google Scholar]
  32. F. Koudohode, L. Baudouin and S. Tarbouriech, Event-based control of a damped linear wave equation. Automatica 146 (2022) 110627. [Google Scholar]
  33. B.-Z. Guo, Riesz basis property and exponential stability of controlled Euler–Bernoulli beam equations with variable coefficients. SIAM J. Control Optim. 40 (2002) 1905–1923. [Google Scholar]
  34. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, vol. 44. Springer Science & Business Media (2012). [Google Scholar]
  35. A. Lamperski and A.D. Ames, Lyapunov theory for zeno stability. IEEE Trans. Autom. Control 58 (2012) 100–112. [Google Scholar]
  36. A.D. Ames, A. Abate and S. Sastry, Sufficient conditions for the existence of zeno behavior, in Proceedings of the 44th IEEE Conference on Decision and Control. IEEE (2005) 696–701. [Google Scholar]
  37. J. Zhang, K.H. Johansson, J. Lygeros and S. Sastry, Zeno hybrid systems. Int. J. Robust Nonlinear Control 11 (2001) 435–451. [Google Scholar]
  38. T. Eisner, Stability of Operators and Operator Semigroups, vol. 209. Birkhäuser (2019). [Google Scholar]
  39. G.H. Hardy, J.E. Littlewood and G. Pólya, Inequalities. Cambridge University Press (1952). [Google Scholar]
  40. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. SIAM (1994). [Google Scholar]
  41. E. Kreyszig, Introductory Functional Analysis with Applications. John Wiley & Sons (1991). [Google Scholar]

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