CAJ | 학술논문

中立型时滞系统在工程实际中有着广泛应用背景。本文研究了一类含非线性扰动的混合变时滞中立型系统地鲁棒稳定性问题。基于直接Lyapunov泛函方法，通过构造一类新的包含时滞区间上下界的三重积分项Lyapunov-Krasovskii泛函，并结合积分不等式方法、自由权矩阵技术和凸组合处理方法，建立了一种新的线性矩阵不等式形式的离散时滞和中立时滞均相关的鲁棒稳定性判据。最后，通过数值算例验证了新判据的有效性和优越性，和一些已有文献相比，本文提出的判据具有更低的保守性。
중립형시체계통재공정실제중유착엄범응용배경。본문연구료일류함비선성우동적혼합변시체중립형계통지로봉은정성문제。기우직접Lyapunov범함방법，통과구조일류신적포함시체구간상하계적삼중적분항Lyapunov-Krasovskii범함，병결합적분불등식방법、자유권구진기술화철조합처리방법，건립료일충신적선성구진불등식형식적리산시체화중립시체균상관적로봉은정성판거。최후，통과수치산례험증료신판거적유효성화우월성，화일사이유문헌상비，본문제출적판거구유경저적보수성。
Neutral time delay system is a special system which has wide application in prac-tical systems. In this paper, we consider the delay-dependent robust stability problem for neutral system with mixed time-varying delays and nonlinear perturbation. Based on the direct Lyapunov method, a new Lyapunov-Krasovskii (L-K) functional with triple integral terms involving lower and upper bounds of interval time-varying delays is constructed for the system. Then, combined with the integral inequalities method, the free weighting matrix approach and the convex combination technique, a neutral and discrete delay-dependent stability criteria for the system is formulated in terms of linear matrix inequalities (LMIs). Finally, the numerical examples are presented to illustrate the effectiveness and improvement over some existing results in the literature with the proposed results.