Analysis of Incremental Exponential Stability for Switched Nonlinear Systems

In this paper, we analyze stability of incremental exponential stability for switched nonlinear systems with time delay. The continuous contraction theory is generalized to introduce a new type of switching laws. On this basis, the incremental exponential stability is established for both stable and unstable subsystems within the overall switched nonlinear systems with time delay. Computer simulations are presented to validate the theoretical findings.