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当考虑级联系统稳定性时,一般都需要系统满足局部或者全局Lipschitz连续性条件.与已有文献中的结果不同,本文给出了一种处理满足非Lipschitz连续条件下级联系统的稳定性分析方法.首先,基于积分输入状态稳定的定义,给出了级联系统全局稳定的Lyapunov形式条件.基于此,继续讨论了非Lipschitz连续情况下级联系统的有限时间稳定性.然后,利用上述稳定性分析结果,讨论了一类驱动子系统具有上三角结构的级联系统的控制设计问题.最后,给出几个例子验证了上述结果的有效性.
When considering the stability of a cascade system, it is generally required that the system satisfy the local or global Lipschitz continuity condition, which is different from the previous results. In this paper, we give a method to deal with the stability of a cascade system under non-Lipschitz continuous conditions Firstly, based on the definition of integral state stability, the globally stable Lyapunov formal conditions of cascaded systems are given. Based on this, we discuss the finite-time stability of cascaded systems under non-Lipschitz continuous conditions. Then, Stability analysis results, the control design of a class of cascaded systems with upper triangular structure is discussed.Finally, several examples are given to verify the validity of the above results.