Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance

الملخص EN

Reachable set bounding for homogeneous nonlinear systems with delay and disturbance is studied.

By the usage of a new method for stability analysis of positive systems, an explicit necessary and sufficient condition is first derived to guarantee that all the states of positive homogeneous time-delay systems with degree p>1 converge asymptotically within a specific ball.

Furthermore, the main result is extended to a class of nonlinear time variant systems.

A numerical example is given to demonstrate the effectiveness of the obtained results.