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This paper considers the problem of designing a genetic circuit which is robust to noise effect. To achieve this goal, a mixed H∞ and Integral Quadratic Constraints (IQC) approach is proposed. In order to minimize the effects of external noise on the genetic regulatory network in terms of H∞ norm, a design procedure of Hill coefficients in the promoters is presented. The IQC approach is introduced to analyze and guarantee the stability of the designed circuit

advances in mathematical physics

Robust Genetic Circuit Design: A Mixed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="script">H</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> and IQC Analysis

Robust Genetic Circuit Design: A Mixed H∞ and IQC Analysis