This thesis presents some advances to the state of the art of state estimation, automatic control
and trajectory planning fields applied to autonomous vehicles. Such contributions have a …

… a zonotope based representation is deemed superior to other set representation forms for
linear systems with uncertain inputs. Further description of zonotope … sets based on zonotopes. …

… Z 2 ) represents the sum of F -size of two zonotopes Z 1 and Z 2 . By computing the ratio of ‖
… effect of the size of zonotopes on the dispersity D ( Z 1 , Z 2 ) of two zonotopes Z 1 and Z 2 . …

… minimization of their zonotopes. We propose the geometrical algorithms Zonotope K-means, …
Zonotope K-means is limited to single output networks, Neural Path K-means generalizes to …

… Zonotopes, a special class of polytopes, offer simplicity in … Then, a zonotope can be defined
as a class of geometric set … are the center and generator matrix of zonotopes, respectively. …

… the induced bounds using Zonotope-based reachability analysis … are typically high-order
zonotopes and difficult for general … We employ the zonotope-based reachability analysis and …

We study three families of polyhedral cones whose sections are regular simplices, cubes,
and crosspolytopes. We compute solid angles and conic intrinsic volumes of these cones. We …

… A zonotope is the Minkowski sum of finitely many line segments, \(\mathcal {Z} = \bigl \{ \sum …
If \(m=n\) and \(b_i= e_i\), \(i=1,\ldots ,n\), then this zonotope is the unit cube. A zonotope with …

In this paper, the fault detection filter (FDF) design problem based on a dynamic event-triggered
mechanism (DETM) is investigated for discrete-time systems with signal quantization …

This work tackles the reachability problem of uncertain discrete-time linear systems controlled
by estimated state feedback regulators. First an augmented system is considered in order …