Stability analysis of delayed switched cascade nonlinear systems with uniform switching signals

Stability analysis of delayed switched cascade nonlinear systems with uniform switching signals

Blog Article

Mainly addressed in this paper is the stability problem of continuous-time switched cascade nonlinear systems with time-varying delays.A robust convergence property is proved first: If a nominal switched nonlinear system with delays is asymptotically stable, then trajectories of corresponding perturbed system asymptotically approach origin provided that the perturbation can be upper berkley power worm 100 pack bounded by a function exponentially decaying to zero.Applying this property and assuming that a cascade system consists of click here two separate systems, it is shown that a switched cascade nonlinear system is asymptotically stable if one separate system is exponentially stable and the other one is asymptotically stable.Since the considered switching signals have a uniform property and thus include most switching signals frequently encountered, our results are valid for a wide range of switched cascade systems.