A novel approach for stabilizing intermediate steady state of CSTR is proposed by using a special type of periodic forced operation, socalled mediating operation. Mediating operation enables to produce new additional steady states for which one of new intermediate steady states is stable. Thus proposed approach employs a periodic forcing for stabilization of a selected steady state by control o...

As recently recognized, distillation columns, operating with reflux and boilup as independent inputs, may have multiple steady-state solutions, even in the ideal binary case. Two fundamentally different sources may cause the multiplicity, and in both cases some operating points are found to be unstable. This article provides evidence for the instability and discusses the effect of operating con...

The impact of steady-state multiplicities on the control of a methyl acetate reactive distillation (RD) column is studied. It is shown that input multiplicity, where multiple input values give the same output, can lead to “wrong” control action, leading to poor robustness. A new metric, rangeability, is defined to quantify the severity of input multiplicity in a steady-state input-output (IO) r...

The article gives new answers to the two following questions: One, what can be a potential source of the twin-peaks of economic growth? Two, why were some of the countries that were believed to belong to the group of low steady state countries (like Taiwan, South Korea, Japan, etc.) able to reach a convergence path which led them to a high steady state? We endogenize the time preference rate vi...

Tubular reactor stability is reconsidered for a wide variety of situations where there is dispersion outside the reactor.A complete set of boundary conditions are proposed from which the Danckwetts boundary conditions arise as a special case. While the multiplicity and stability characteristics are found to be the same as those found with Danckwerts boundary conditions (no dispersion outside th...

Steady-state multiplicity in individual catalyst particles can be exploited to produce concentration patterns in a catalytic reactor. Thus, stable, steady-state, spatial patterns can be created in a packed bed reactor by providing for an initial pattern using multiple feeds at different points along the length of the reactor as a start-up strategy. It is shown that the formation of such pattern...

We analyze the spatial propagation of wave-fronts in a biochemical model for a product-activated enzyme reaction with non-linear recycling of product into substrate. This model was previously studied as a prototype for the coexistence of two distinct types of periodic oscillations (birhythmicity). The system is initially in a stable steady state characterized by the property of multi-threshold ...