Electronic Research Archive (Jan 2023)

transportation, port state control, ship selection scheme, Simpson's paradox, data analytics

  • Xiong Jian,
  • Zengyun Wang,
  • Aitong Xin,
  • Yujing Chen,
  • Shujuan Xie

DOI
https://doi.org/10.3934/era.2023014
Journal volume & issue
Vol. 31, no. 1
pp. 273 – 298

Abstract

Read online

Based on the type-2 Takagi-Sugeno (IT2 T-S) fuzzy theory, a non-autonomous fuzzy complex-valued dynamical system with discontinuous interconnection function is formulated. Under the framework of Filippov, the finite-time stabilization (FTS) problem is investigated by using an indefinite-derivative Lyapunov function method, where the derivative of the constructed Lyapunov function is allowed to be positive. By designing a fuzzy switching state feedback controller involving time-varying control gain parameters, several sufficient criteria are established to determine the considered system's stability in finite time. Correspondingly, due to the time-varying system parameters and the designed time-dependent control gain coefficients, a more flexible settling time (ST) is estimated. Finally, an example is presented to confirm the proposed methodology.

Keywords