Absolute Exponential Stability for Switching Positive Systems With Time-Delay Based on the Φ-Dependent ADT Strategy

Absolute Exponential Stability for Switching Positive Systems With Time-Delay Based on the Φ-Dependent ADT Strategy

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The absolute exponential stability problem for the continuous-time and discrete-time, respectively, switching positive nonlinear time-delay system is investigated under the nonlinearity of systems satisfying a certain sector condition in this paper.Two multiple co-positive Lyapunov-Krasovskii functionals (MCLKF) of such Outdoor Games - Disc Golf systems are constructed for the continuous-time and discrete-time contexts respectively.By using the MCLKF and the $Phi $ -dependent average dwell time switching strategy, more general stability conditions compatible with some existing works are established.Furthermore, the obtained results are generalized to other types of systems.A numerical example, finally, implies the validity Top and significance of the results proposed.