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.