具有单向强耦合的时滞大系统的稳定性

Stability of Large-Scale Time-Delay Systems with Unidirectional Strong Coupling

针对具有单向强耦合的时滞大系统 ,通过构造Lyapunov泛函 ,并采用部分分解法 ,给出了判定系统一致渐近稳定的充分条件。与传统的分解等价法相比 ,该方法扩大了单方向关联项的界限 ,并可通过参数的选取扩大时滞界限 ,结论易于验证 ,具有实际应用价值。

For a large-scale time-delay system with unidirectional strong coupling, by making a Lyapunov functional and using the partial decomposition method, a sufficient condition is obtained for the uniform asymptotical stability of the system. Compared with the equivalence method of Lyapunov decomposition, the method of this paper extends the range of unidirectional interconnected items and the range of delay can be widened by selecting the value of a parameter. Furthermore, the conclusion of this paper is easy to verify.