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Synthetic biology has the potential to bring about great benefits to society. This interdisciplinary research area covers many subjects including mathematics, engineering and biology. What is lacking at the moment is a framework that allows for the robust design and realization of synthetic biological circuits. In this paper we show how a classical control framework can be used to formally specify...
This paper introduces a general framework for analysing systems that have non-polynomial, uncertain or high order nonlinearities. It decomposes the vector field using Lur'e type feedback into a system with a polynomial or rational vector field and a nonlinear memoryless feedback term, which is bounded by polynomial or rational functions. This decomposition can be used to model uncertainty in the nonlinear...
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