Stability of switched positive nonlinear systems with partial unstable subsystems

This article mainly discusses stability problem of switched positive nonlinear systems (SPNSs) with partial unstable modes. By utilizing max-separable Lyapunov function method, stability criteria in terms of average dwell time (ADT) switching are delivered, which include some recent results as special ones. We also draw a general conclusion for time-varying switched systems with the aid of comparison theorem. Finally, the theoretical results are supported by an appropriate example.