Magnetosphere-Ionosphere-Thermosphere Coupling Study at Jupiter Based on Juno's First 30 Orbits and Modeling Tools. [PDF]
Abstract The dynamics of the Jovian magnetosphere is controlled by the interplay of the planet's fast rotation, its solar‐wind interaction and its main plasma source at the Io torus, mediated by coupling processes involving its magnetosphere, ionosphere, and thermosphere.
Al Saati S +17 more
europepmc +2 more sources
Optimality Conditions for Group Sparse Constrained Optimization Problems
In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group ...
Wenying Wu, Dingtao Peng
doaj +1 more source
Strong Invariance Using Control Barrier Functions: A Clarke Tangent Cone Approach [PDF]
Many control applications require that a system be constrained to a particular set of states, often termed as safe set. A practical and flexible method for rendering safe sets forward-invariant involves computing control input using Control Barrier Functions and Quadratic Programming methods.
Usevitch, James +2 more
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A characterization of Clarke’s strict tangent cone via nonlinear semigroups [PDF]
Clarke’s strict tangent cone T X ↑ ( a ) T_X^ \uparrow (a) at a ∈ X a \in X to a closed subset of a Banach space E E is shown to contain the limit inferior of tangent cones T
openaire +1 more source
We prove a new result of existence of equilibria for an u.s.c. set-valued mapping F on a compact set S of Rn which is epi-Lipschitz and satisfies a weak tangential condition.
Messaoud Bounkhel
doaj +1 more source
Clarke’s Tangent Cones, Subgradients, Optimality Conditions, and the Lipschitzness at Infinity
We first study Clarke's tangent cones at infinity to unbounded subsets of $\mathbb{R}^n.$ We prove that these cones are closed convex and show a characterization of their interiors. We then study subgradients at infinity for extended real value functions on $\mathbb{R}^n$ and derive necessary optimality conditions at infinity for optimization problems.
Nguyễn, Minh Tùng +1 more
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Computed tomography scan measurements of the globe and orbit to assess the risks of traumatic complications from medial peribulbar anaesthesia. [PDF]
Clarke J +4 more
europepmc +1 more source
Analysis of inferior nasal turbinate volume in subjects with nasal septum deviation: a retrospective cone beam tomography study. [PDF]
Shetty S +10 more
europepmc +1 more source
Analytical Models for Measuring the Mechanical Properties of Yeast. [PDF]
Savin N, Erofeev A, Gorelkin P.
europepmc +1 more source
Fit-for-purpose conformal mapping for sustainable land administration in war-ravaged Syria. [PDF]
Habib M.
europepmc +1 more source

