We interpret economic MPC as a scheme that trades off economic performance and stability. We use this notion to design an economic MPC controller that exploits the inherent robustness of a stable auxiliary MPC controller to enhance economic performance. Specifically, we incorporate a flexible stabilizing constraint to the economic MPC formulation that preserves stability of the auxiliary contro...

Many discrete event systems (DESs) such as manufacturing systems, database management systems, communication networks, traffic systems, etc., can be modeled as input-output discrete event systems (I/O DESs). In this paper we formulate and study the problem of stable realization of such systems in the logical setting. Given an input and an output language describing the sequences of events that ...

to be exponentially stable and to apply these results to the study of change of stability in parameter dependent time-periodic parabolic problems. Here, !:::.. denotes the Laplacian in JRN and the weight-function lies in C~(JR, BUC(JRN)), the space of v-HOlder continuous and T -periodic functions taking values in the space of bounded uniformly continuous functions on JRN (v E (0, 1) and T > 0 f...

tio 2 nanoparticles (nps) might be considered as the most important photosensitizer due to high photocatalytic and sonocatalytic efficiency, low toxicity, excellent biocompatibility, low cost and high chemical stability. tio 2 -nps normally tend to aggregate in physiological medium and which results to decreased cell viability and inducing expression of stress-related genes. thus dispersion and...

conclusions in lighting conditions, most of t-res was isomerized to the other isomer cis-resveratrol. t-res is unstable in alkali ph and when exposed to light. t-res was quite stable at other conditions, and several freeze-thaw cycles did not have any effect on its stability. results our findings revealed that t-res was quite stable in different temperatures ranging from -70 °c to 25 °c, and ac...

To be useful for extremely stiff systems of ordinary differential equations, A -stability and a maximally damped condition as \h -* °° (i.e., L-stability) are desirable. This paper investigates the condition of ¿-stability for a class of Runge-Kutta methods known as the Rosenbrock procedure. This procedure requires only one computation of a Jacobian matrix per step of integration, ¿-stable Rose...

We propose a model of discrete time dynamic congestion games with atomic players and a single source-destination pair. The latencies of edges are composed by free-flow transit times and possible queuing time due to capacity constraints. We give a precise description of the dynamics induced by the individual strategies of players and of the corresponding costs, either when the traffic is control...

The coordinate transformation for quadrilateral isoparametric elements is well-defined in the finite element literature. However, a corresponding inverse transformation is not found. In fact, it has been commonly believed that no explicit solutions to the inverse transformation problem exist. This paper shows that if geometric considerations are used, a complete set of general solutions to the ...

= ∑ n1>...>nr>0 q11 . . . qirnrn1 1 . . . n −sr r , with q a root of unit and i = (i1, . . . , ir) a composition. These sums converge when s1 > 1. To study simultaneously these families of polyzêtas, the colored Hurwitz polyzêtas, for a composition s = (s1, . . . , sr) and a tuple of complex numbers ξ = (ξ1, . . . , ξr) and a tuple of parameters in ]−∞; 1[, t = (t1, . . . , tr), are defined by [6]