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Design and Control for Four-Variable Chaotic Nanoelectronic Circuits Based on DNA Reaction Networks

Control of chaotic nanoelectronic circuit is a typical nonlinear problem. In this paper, we present a four-variable chaotic oscillatory nanoelectronic circuit by the cascade of multiplication, adjustment and elimination DNA chemical reaction modules. Furthermore, a proportional integral
 (PI) controller of four-variable nonlinear chaotic nanoelectronic circuit is realized based on catalysis and annihilation DNA chemical reaction modules. These DNA modules are realized by a series of DNA strand displacement (DSD) reactions and simulated by Visual DSD. Oscillatory time domain
 waveforms of four-variable chaotic oscillatory nanoelectronic circuit could be generated by the designed chaotic oscillatory chemical reaction modules. The proposed PI controller could be added for chaotic nanoelectronic circuits to stabilize oscillatory signals and it has robustness to the
 initial value changes of chaotic nanoelectronic circuit.