We consider the semigroup $S$ of highest weights appearing in tensor powers $V^{otimes k}$ of a finite dimensional representation $V$ of a connected reductive group. We describe the cone generated by $S$ as the cone over the weight polytope of $V$ intersected with the positive Weyl chamber. From this we get a description for the asymptotic of the number of highest weights appearing in $V^{otime...

This paper proposes a robust gain-scheduled H1 controller for lateral stability control of four-wheelindependent-drive electric vehicles via linear parameter-varying technique. The controller aims at tracking the desired yaw rate and vehicle sideslip angle by controlling the external yaw moment. In the design of controller, uncertain factors such as vehicle mass and tire cornering stiffness in ...

This paper presents a new data-driven controller synthesis based on the Koopman operator and extended $\mathcal{H}_2$ norm characterization of discrete-time linear systems. We model dynamical systems as polytope sets which are derived from multiple models obtained by finite approximation then used to design robust feedback controllers combined with characterization. The use is aimed deal uncert...

We consider a telecommunications company expanding its network capacity to face an increasing demand. The can also invest in marketing incentivize clients shift more recent technologies, hopefully leading cheaper overall costs. To model the effect of campaigns, previous works have relied on Bass model. Since that only provides rough approximation actual shifting mechanism, purpose this work is ...

In this paper we explain how to characterize the best approximation to any x in a Hilbert space X from the set C ∩ {x ∈ X : gi(x) ≤ 0, i = 1, 2, · · · ,m} in the face of data uncertainty in the convex constraints, gi(x) ≤ 0, i = 1, 2, · · · ,m, where C is a closed convex subset of X. Following the robust optimization approach, we establish Lagrange multiplier characterizations of the robust con...

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Objective(s): The results of studies on vaccine development for foot-and-mouth disease (FMD) virus show that the use of inactivated vaccines for FMD virus is not completely effective. Novel vaccinations based on immuno-dominant epitopes have been shown to induce immune responses. Furthermore, for safety of immunization, access to efficient adjuvants against FMD virus seems to be critical.Materi...