On General Stability for Switched Positive Linear Systems with Bounded Time-varying Delays

This paper focuses on the problem of a common linear copositive Lyapunov function(CLCLF) existence for discrete-time switched positive linear systems(SPLSs) with bounded time-varying delays. In particular, applying system matrices, a special class of matrices are constructed in an appropriate manner. Our results reveal that the existence of a common copositive Lyapunov function can be related to the Schur stability of such matrices. A simple example is provided to illustrate the implication of our results.

• Xiu Liu
• Shouming Zhong
• Xiuyong Ding

• Common linear co-positive Lyapunov functions
• positive systems
• switched systems
• delays.

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