Delay-Dependent Stability Analysis for Multiple-State Delays Systems
时滞相关的多状态时滞系统稳定性分析

This paper investigates the stability of multiple-state delays linear time delay systems.Rewriting the delay system as an interconnected feedback form at first,and then the uncertainty can be described as certain delay dependent bounded operators.The conservatism can be reduced through the delay fractioning.The criteria of stability is derived based on the Lyapunov theory and is formulated as feasibility problems of Linear Matrix Inequalities,and the criteria includes more information about the states.The conservatism is reduced as the delay fractioning grows.Numerical examples indicate that the performance of conservatism will be improved notably even by coarse fractioning.In order to make a tradeoff between conservatism and computational complexity the less fractioning can be used practically,and with fewer decision variables in LMIs.