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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 ...
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 ...
Periodic Orbits and Chaos in Nonsmooth Delay Differential Equations
(World Scientific, 2019-09)
In this paper, we present a method to find periodic solutions for certain types of nonsmooth differential equations or nonsmooth delay differential equations. We apply the method to three examples, the first is a second-order ...
On the global convergence of Newton-like methods for nonsmooth systems
(Marcel Dekker IncNew YorkEUA, 1997)
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
(2019-09-05)
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family. In order to get our ...