%0 Journal Article
%T Application of Stability Criteria for Complex-Valued Impulsive System by Lyapunov Function
%A Wei Yang
%J International Journal of Modern Nonlinear Theory and Application
%P 45-52
%@ 2167-9487
%D 2024
%I Scientific Research Publishing
%R 10.4236/ijmnta.2024.134004
%X 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.
%K Complex-Valued Systems
%K Stability
%K Lyapunov Function
%K Impulsive Control Field
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=138187