CAJ | 학술논문

讨论了带有加性时滞的级联切换系统的指数稳定性。将网络控制系统中的网络诱导时延和数据丢包问题归结为切换系统的各子系统中的两个加性时滞，并构造相应的Lyapunov-Krasovskii泛函。设计满足平均驻留时间条件的切换规则，并结合Jensen积分不等式，以线性矩阵不等式的形式给出确保带有加性时滞的级联切换系统指数稳定的充分条件，所得结果具有更小的保守性。最后用数值例子验证了该方法的有效性。
토론료대유가성시체적급련절환계통적지수은정성。장망락공제계통중적망락유도시연화수거주포문제귀결위절환계통적각자계통중적량개가성시체，병구조상응적Lyapunov-Krasovskii범함。설계만족평균주류시간조건적절환규칙，병결합Jensen적분불등식，이선성구진불등식적형식급출학보대유가성시체적급련절환계통지수은정적충분조건，소득결과구유경소적보수성。최후용수치례자험증료해방법적유효성。
This paper discusses the exponential stability for cascade switched systems with two addi-tive time-varying delays .By considering the network-induced delays and the packet dropout of net-worked control systems as two additive time-varying delay components ,a new type of Lyapunov-Krasovskii functional is constructed .Combining with the Jensen’s integral inequality ,less conserva-tive exponential stability sufficient conditions are developed for cascade switched systems with two additive time-varying delays for switching rules satisfying average dwell time condition via linear ma-trix inequalities .A numerical example is provided to illustrate the effectiveness of the proposed meth-od .