【摘要】 研究了给定区间时变时滞线性系统的稳定性问题。通过构造一个具有三重积分项的新的Lyaounov-Krasovskii泛函,利用一个最新提出的基于自由矩阵的积分不等式,得到了新的保守性更小的保证系统稳定的充分条件。最后,通过2个实例验证了所提出的方法比现有方法具有更小的保守性。更多还原

【Abstract】 This paper investigates the stability problem of a linear system with time-varying delay.The time-varying delay is assumed to belong to a given interval.A new Lyapunov-Krasovskii function is constructed which contains some tripe integral terms.Using some integral inequalities including the recent proposed free-matrix-based integral inequality,new sufficient stability conditions are obtained,which are presented in terms of Linear Matrix Inequality(LMI).Finally,two examples are given to demonstrate that the obtained results are less conservative than some existing method.更多还原