# Sub-homogeneous positive monotone systems are insensitive to heterogeneous time-varying delays

@article{Feyzmahdavian2014SubhomogeneousPM, title={Sub-homogeneous positive monotone systems are insensitive to heterogeneous time-varying delays}, author={Hamid Reza Feyzmahdavian and Themistoklis Charalambous and Mikael Johansson}, journal={ArXiv}, year={2014}, volume={abs/1407.1502} }

We show that a sub-homogeneous positive monotone system with bounded heterogeneous time-varying delays is globally asymptotically stable if and only if the corresponding delay-free system is globally asymptotically stable. The proof is based on an extension of a delay-independent stability result for monotone systems under constant delays by Smith to systems with bounded heterogenous time-varying delays. Under the additional assumption of positivity and sub-homogenousvector fields, we establish… Expand

#### 10 Citations

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