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Description
We analyze two classes of mathematical models describing chemical reactions of the type "
The second class involves a nonlinear parabolic partial differential equation that models a dispersed flow tubular reactor with a single boundary control input. The existence and uniqueness of solutions to the associated nonlinear Cauchy problem are established using the theory of strongly continuous semigroups. Furthermore, by employing Lyapunov's direct method, we design a feedback control strategy that ensures the exponential stability of the steady state and evaluates the decay rate of the solutions. Together, these results provide a comprehensive framework for the analysis and control of chemical reactor models.