Intelligent Engineering Systems through Artificial Neural Networks, Volume 16
27 Adaptive Control and Stability Analysis of Genetic Networks with SUM Regulation
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This paper presents the research work on a novel nonlinear control and stability analysis of genetic networks. Genetic networks can be described by differential equations with SUM logic which has been found in many natural systems. The transcription rates of the genetic networks are important to the steady state. Though we could not measure these transcription rates, biologists have shown that they are alterable. A novel nonlinear adaptive controller is proposed to drive the network to a desired steady level with real time adjustment of these factors. Asymptotic stability proof is conducted with Lyapunov argument and simulation results show the effectiveness of the design.