CAJ | 학술논문

该文主要研究了一类时变时滞系统的时滞领事的稳定性问题。通过构造含有三重积分项的增广Lyapunov-Krasovskii泛函，并结合积分不等式方法，得到了以线性矩阵不等式表示的稳定性判据。最后给出了数值算例，验证了该方法的有效性及具有较小的保守性。
해문주요연구료일류시변시체계통적시체영사적은정성문제。통과구조함유삼중적분항적증엄Lyapunov-Krasovskii범함，병결합적분불등식방법，득도료이선성구진불등식표시적은정성판거。최후급출료수치산례，험증료해방법적유효성급구유교소적보수성。
This paper is concerned with the problem of the delay-dependent stability for systems with time-varying delay in a given interval .By constructing a new type of augmented Lyapunov-Krasovskii functional and using some integral inequalities , a new stability criterion is obtained in terms of a linear matrix inequality .Nu-merical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods .