Ellipsoids are usually used as a shape of the DoA [93, 145]. Researches on the DoA have been given for uncertain polynomial continuous-time systems in [19]. Analytical approximation of a maximal invariant ellipsoid has been discussed for discrete-time systems with bounded controls [199]. The ...
Sketch the curve of the cylinder y = x^2 and the top half of the ellipsoid x^2 + 9y^2 + 4z^2 = 16 Find the parametric equation for this curve. A curve is defined by the parametric equations x = e^2t - t, y = e^4t ...
Find a vector function that represents the curve that is the intersection of the cylinder x^2 + y^2 = 1 and the hyperboloid z = x^2 + y^2. Find the parametric equation of the curve that is formed by the intersection ...
Contrary to [46], the working region is exactly modeled by a degenerate ellipsoid. Thus, we use the S-procedure Lemma to deal with this constrained region. Moreover, we consider in this work and for the first time the algebraic equation and the associated impact condition in the synthesis ...
Parametric resonance and geodesics on an ellipsoid - Veselov - 1992 () Citation Context ...r problem (2) − ∂ 2 σΨ(E, σ) + ũ(σ)Ψ(E, σ) = EΨ(E, σ). The connection between the the geodesics on the ellipsoid and the Harry-Dym equation was first observed by Cao ...