Article citationsMore>>

Zhang, S., Xia, Y. and Zheng, W. (2015) A Complex-Valued Neural Dynamical Optimization Approach and Its Stability Analysis. Neural Networks, 61, 59-67.
https://doi.org/10.1016/j.neunet.2014.10.003

has been cited by the following article:

• TITLE: Application of Stability Criteria for Complex-Valued Impulsive System by Lyapunov Function

  AUTHORS: Wei Yang

  KEYWORDS: Complex-Valued Systems, Stability, Lyapunov Function, Impulsive Control Field

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.13 No.4, December 17, 2024

  ABSTRACT: Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of finite dimensional complex-valued systems with impulsive control fields, where the studied complex-valued systems are governed by the Schrödinger equation and can be used in quantum systems. By one Lyapunov function based on state error and the invariant principle of impulsive systems, I study the convergence of complex-valued systems with impulsive control fields and propose new results for the mentioned complex-valued systems in the form of sufficient conditions. A numerical simulation to validate the proposed control method is provided.