CAJ | 학술논문

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。
당고필급련계통은정성시，일반도수요계통만족국부혹자전국Lipschitz련속성조건。여이유문헌중적결과불동，본문급출료일충처리만족비Lipschitz련속조건하급련계통적은정성분석방법。수선，기우적분수입상태은정적정의，급출료급련계통전국은정적Lyapunov형식조건。기우차，계속토론료비Lipschitz련속정황하급련계통적유한시간은정성。연후，이용상술은정성분석결과，토론료일류구동자계통구유상삼각결구적급련계통적공제설계문제。최후，급출궤개례자험증료상술결과적유효성。
The local/global Lipschitz continuity is always required when considering the stability of the cascaded sys-tems. Being different from the exiting methods proposed in the literature, we give a method to handle the non-Lipschitz continuous cascaded systems. By using the definition of iISS (integral input-to-state stability), the Lyapunov-like condi-tions for global stability of non-Lipschitz continuous cascaded systems are derived. Then, based on this, the finite-time stability for non-Lipschitz continuous cascaded systems is further studied. The stability analysis results are applied to the control design problem for a class of cascaded systems with upper-triangular deriving subsystem. Finally, some examples are proposed to validate the effectiveness of the proposed results.