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This is the peer reviewed version of the following article: Pujol, G., Vidal, Y., Acho, L. and Vargas, A. N. (2015), Asymmetric modelling and control of an electronic throttle. Int. J. Numer. Model, which has been published in final form at http://dx.doi.org/10.1002/jnm.2063. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. This paper presents an improved model for an automotive electronic throttle inspired on the behavior observed in real-time experiments. Due to a number of issues, particularly the return-spring, the performance of the throttle valve depends on whether it is opening or closing. This asymmetric behavior was taken into account to design a mathematical model of the throttle body and to derive a nonlinear asymmetric PI controller. The experimental demonstration suggests that considering an asymmetric term dramatically improves the performance of the controller

The note presents conditions to assure the stability in probability for a class of continuoustime quadratic Markov jump systems. From the viewpoint of the state-space evolution, the system has two parts: (i) a linear term, in which the matrix parameter jumps according to a Markov chain, and (ii) a quadratic term with no jumps. The stability in probability for the quadratic Markov jump system is then assured under mild conditions. A numerical example illustrates the usefulness of the derived results. The note presents conditions to assure the stability in probability for a class of continuoustime quadratic Markov jump systems. From the viewpoint of the state-space evolution, the system has two parts: (i) a linear term, in which the matrix parameter jumps according to a Markov chain, and (ii) a quadratic term with no jumps. The stability in probability for the quadratic Markov jump system is then assured under mild conditions. A numerical example illustrates the usefulness of the derived results.