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Switched systems with positivity constraints arise in various areas. They have been fruitfully employed to model consensus problems, biological systems dynamics and, recently, viral mutation dynamics underdrug treatment.
The theory of "positive switched systems" is rather challenging and offers quite a number of interesting open problems.
In the talk, we will illustrate the main results available as far asstability, stabilizabilty and controllability issues are concerned. Someopen problems will be proposed, and some applications of this generaltheory in the area of biological systems will be illustrated.
