Exponential Stability of Switched Positive Homogeneous Systems

Exponential Stability of Switched Positive Homogeneous Systems

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This paper studies the exponential stability of switched positive nonlinear systems defined by cooperative and homogeneous vector fields.In order to capture the decay rate of such systems, we first consider the subsystems.A sufficient condition for exponential stability of subsystems with time-varying delays Vitamins is derived.

In particular, for the corresponding delay-free systems, we prove that this sufficient condition is also necessary.Then, we present a sufficient condition of exponential stability under minimum dwell time switching for the switched Lip Cream positive nonlinear systems.Some results in the previous literature are extended.

Finally, a numerical example is given to demonstrate the effectiveness of the obtained results.