广义时滞系统的稳定性条件

研究了广义时滞系统的稳定性问题.首先,将广义时滞系统转化为等价的中立时滞系统模型.然后,通过将二次型中的向量增加维数构造了增广的Lyapunov-Krasovskii泛函(简称L-K泛函),使用四阶Bessel-Legendre积分不等式(简称B-L积分不等式)处理L-K泛函导数的一重积分项,得到了一个新的保守性更小的...

Stability Condition of Singular Time-delay Systems

The stability condition of singular time-delay systems is addressed. Firstly,the singular time-delay systems are transformed into equivalent neutral time-delay systems. Secondly,an augmented Lyapunov-Krasovskii functional( L-K functional) is constructed by augmented dimension of vector in the quadratic form. Derivation on the L-K function produces single integral term which is dealt with fourth-order integral Bessel-Legendre inequality( B-L inequality). Then,the stability condition of singular time-delay systems is obtained in the form of linear matrix inequality( LMI). Finally,two numerical examples are illustrated to show that the proposed method is less conservative than other existing ones.