Abstract
The positive and exponential stability for a class of switched non-linear systems under minimum dwell time switching is studied, whose non-linear functions for each subsystem are constrained in a sector field by two odd symmetric piecewise linear functions and whose system matrices for each subsystem are Metzler. A class of multiple time-varying Lyapunov functions is applied to obtain the computable sufficient stability conditions in terms of linear programming rather than non-linear programming. An example is provided to demonstrate the effectiveness of the proposed result.
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