CAJ | 학술논문

研究了一类具有区间时变时滞线性不确定系统的鲁棒稳定性问题。通过构造合理的李雅普诺夫函数，并且使用辅助变量以及广义状态法，得出了区间时变时滞系统的时滞相关鲁棒稳定性新判据。同现有方法不同，该方法由于没有对时滞参数导数的限制，可以用于快时变时滞系统。数值算例表明了方法的有效性。
연구료일류구유구간시변시체선성불학정계통적로봉은정성문제。통과구조합리적리아보낙부함수，병차사용보조변량이급엄의상태법，득출료구간시변시체계통적시체상관로봉은정성신판거。동현유방법불동，해방법유우몰유대시체삼수도수적한제，가이용우쾌시변시체계통。수치산례표명료방법적유효성。
The robust stability of a class of linear systems with interval time - varying delay systems is investigated. By constructing an appropriate type of Lyapunov fanction and using the auxiliary variables and generalized states methods, the new delay -dependent robust stability criteria is derived. Unlike existing methodologies, because there are no restrictions on the derivative of the time delay, the proposed method can allow fast time -varying delay. A numerical example shows the effectiveness of the proposed criteria.