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.