Stability of non-Lipschitz continuous cascaded systems and its application
MA Li
JIA Ru-ting
DING Shi-hong
Abstract：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.
Keywords：cascaded systemiISSfinite-time controlhomogeneity
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 786-794 )