This technical note deals with the design of stable interval observers and estimators for
continuous-time linear dynamic systems under uncertain initial states and uncertain inputs …

The main purpose of this book is to bring together some areas of research that have developed
independently over the last 30 years. The central problem we are going to discuss is that …

Let A be an arrangement of hyperplanes in the complex projective space m, m> 1. Denote
by VDSh 2AH the corresponding hypersurface, and by XD m nV its complement. Among the …

This paper introduces a new algorithm dedicated to the rigorous reachability analysis of
nonlinear dynamical systems. The algorithm is initially presented in the context of discrete time …

In this paper parity space relations are constructed to detect faults in norm-bounded uncertain
linear system. Main goal is to detect actuator and sensor faults in practical systems where …

We prove homological mirror symmetry for the quintic Calabi–Yau 3–fold. The proof follows
that for the quartic surface by Seidel closely, and uses a result of Sheridan. In contrast to …

… The omega map ω, discovered by Billera, Ehrenborg, and Readdy [7], links the flag f-vector
of the intersection lattice of a hyperplane arrangement with the corresponding zonotope, and …

… We discuss representations by different geometric objects like convex polyhedra, oriented
rectangular hulls, zonotopes, support functions and orthogonal polyhedra. Using such …

Consider the problem of partitioning n items among d players where the utility of each player
for bundles of items is additive; so, player r has utility v r i for item i and the utility of that …

This paper introduces a method for approximate reachability, for linear discrete time systems,
based on homothety and set invariance. The proposed method utilizes two particular …