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 wilds of eldraine prerelease guide multiple co-positive Lyapunov-Krasovskii functionals (MCLKF) of such 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 read more and significance of the results proposed.