Abstract
The stirred tank reactor is analysed for stability to finite perturbations by the direct method of Lyapunov. An algorithm is developed for the construction of a Lyapunov function for a first order irreversible reaction with the resulting region of stability being a significant portion of the total area of stability. Similar procedures are used to find Lyapunov functions for a second order reversible reaction and for a polymerization system. The region of asymptotic stability for the second order reaction system is considerably smaller than the total region of stability. For the polymerization system the region of stability is only slightly larger than the region obtained by considering the Lyapunov function of the linearized system. The growth of a limit cycle is studied by a Lyapunov type analysis of the stability of limit cycles. This is the first part of a series of two papers. The isothermal second order reaction and first order non-isothermal reactions are considered in this paper.
Published Version
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