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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 ...
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)
Nonsmooth continuous-time optimization problems: Sufficient conditions
(Academic Press Inc., 1998-11-15)
We discuss sufficient conditions of optimality for nonsmooth continuous-time nonlinear optimization problems under generalized convexity assumptions. These include both first-order and second-order criteria. (C) 1998 ...
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 ...
Generic bifurcations of planar filippov systems via geometric singular perturbations
(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 ...
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 ...
Necessary conditions for optimal impulsive control problems
(1997-01-01)
Necessary conditions of optimality, in the form of a maximum principle, are derived for a class of optimal control problems, certain of whose controls are represented by measures and whose state trajectories are functions ...