This book provides a novel approach to convex analysis and convex optimization, based on
subdifferential calculus of pointwise suprema of convex functions. The main goal in writing …

The cable damage is one serious problem to endanger the bridge safety. Considering that
current methods of estimating cable damage still have some shortcomings during their …

In this paper, we extend the concept of quasidifferential to a new notion called semi-
quasidifferential. This generalization is motivated by the convexificator notion. Some …

Saturated nonlinear affine systems are widely encountered in many engineering fields.
Currently, most control methods on saturated nonlinear affine systems are not specifically …

This paper presents exact Semi-Definite Program (SDP) reformulations for infinite-
dimensional moment optimization problems involving a new class of piecewise Sum-of …

In this paper, we consider a polynomial problem with equilibrium constraints in which the
constraint functions and the equilibrium constraints involve data uncertainties. Employing a …

We characterize the subdifferential of the supremum function of finitely and infinitely indexed
families of convex functions. The main contribution of this paper consists of providing …

In this paper, we study a robust optimization problem whose constraints include nonsmooth
and nonconvex functions and the intersection of closed sets. Using advanced variational …

Some characterizations of solution sets of a convex optimization problem with a convex
feasible set described by tangentially convex constraints are given. The results are …

We give new characterizations for the subdifferential of the supremum of an arbitrary family
of convex functions, dropping out the standard assumptions of compactness of the index set …