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A Weak Maximum Principle for Optimal Control Problems with Nonsmooth Mixed Constraints
(Springer, 2009-06-01)
We derive a weak Maximum Principle for nonsmooth optimal control problem involving mixed constraints under some convexity assumptions. Notably we consider problems with possibly nonsmooth mixed constraints. A nonsmooth ...
Invex nonsmooth alternative theorem and applications
(2000-12-01)
An invex constrained nonsmooth optimization problem is considered, in which the presence of an abstract constraint set is possibly allowed. Necessary and sufficient conditions of optimality are provided and weak and strong ...
On the global convergence of Newton-like methods for nonsmooth systems
(Marcel Dekker IncNew YorkEUA, 1997)
Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations
(Belgian Mathematical Soc Triomphe, 2011-01-01)
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...
Nonsmooth Lur'e Dynamical Systems in Hilbert Spaces
(Springer, 2016)
In this paper, we study the well-posedness and stability analysis of set-valued Lur'e dynamical systems in infinite-dimensional Hilbert spaces. The existence and uniqueness results are established under the so-called ...
On the convergence of quasi-Newton methods for nonsmooth problems
(Marcel Dekker IncNew York, 1995)
Birth of limit cycles bifurcating from a nonsmooth center
(Elsevier B.V., 2014-07-01)
This paper is concerned with a codimension analysis of a two-fold singularity of piecewise smooth planar vector fields, when it behaves itself like a center of smooth vector fields (also called nondegenerate Sigma-center). ...
An algorithm for nonconvex lower semicontinuous optimization problems
(Algorithmic Applications in Management, 2015)