含区间时变时滞系统的稳定性分析

摘要

研究了带有区间时变时滞系统的稳定性分析问题，并获得了一种新的判断区间时变时滞系统稳定的充分条件，引入新的Jensen积分不等式进行放缩，增加了适当的自由矩阵，减少了所获得结果的保守性，最后通过数值仿真例子验证了提出的方法的可行性和优越性。%This paper is concerned with the stability of systems with interval time-varying delay,and gets a new sufficient conditions for the stability of interval time -varying delay system,introduces new Jensen integral inequality techniques,increases the appropriate free matrix,reduced the conservatism of the results obtained. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.