Article citationsMore>>

Xu, J. and Sun, J. (2010) Finite-Time Stability of Linear Time-Varying Singular Impulsive Systems. IET Control Theory & Applications, 4, 2239-2244.
https://doi.org/10.1049/iet-cta.2010.0242

has been cited by the following article:

• TITLE: Stability of One Kind Complex-Valued System by Lyapunov Function with Impulsive Control Field

  AUTHORS: Wei Yang

  KEYWORDS: Complex-Valued System, Lyapunov Function, Stability

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.11, November 27, 2024

  ABSTRACT: In this paper, we investigate one kind of complex-valued systems with an impulsive control field, where the complex-valued system is governed by the Schrödinger equation, which is used for quantum systems, etc. We study the convergence of the complex-valued system with impulsive control fields by one Lyapunov function based on the state distance and the invariant principle of impulsive systems. We propose new results for the mentioned complex-valued systems in the form of sufficient conditions and also present one numerical simulation to illustrate the effectiveness of the proposed control method.