Passivity of fractional reaction-diffusion systems

This study considers the passivity of fractional reaction-diffusion systems (FRDSs) featuring boundary input-output. The fundamental framework for this exploration involves the application of the Lyapunov-Krasovskii functional method coupled with inequality techniques. The investigation derives sufficient conditions that guarantee both input and output strict passivity in FRDSs. Furthermore, in the presence of fluctuating uncertain parameters within FRDSs, robust passivity is also studied and sufficient conditions are offered. The obtained sufficient condition shows that a larger diffusion coefficient facilitates the achievement of the passivity of FRDSs. Finally, the validity of our theoretical findings is subsequently corroborated through numerical examples.