Variational analysis has been recognized as a fruitful area in mathematics that on the one
hand deals with the study of optimization and equilibrium problems and on the other hand …

This paper gives a survey of the various forms of Pontryagin's maximum principle for optimal
control problems with state variable inequality constraints. The relations between the …

This paper deals with the Bolza problem (P) for differential inclusions subject to general
endpoint constraints. We pursue a twofold goal. First, we develop a finite difference method …

We present a unified approach to a complex of related issues in control theory, one based to
a great extent on the methods of nonsmooth analysis. The issues include invariance …

Optimal control theory has numerous applications in both science and engineering. This
book presents basic concepts and principles of mathematical programming in terms of set …

Page 1 MEMOIRS Of the American Mathematical Society Number 816 Necessary
Conditions in Dynamic Optimization Francis Clarke January 2005 • Volume 173 • Number …

A Mayer problem of optimal control, whose dynamic constraint is given by a convex-valued
differential inclusion, is considered. Both state and endpoint constraints are involved …

In this paper we study the degeneracy phenomenon in optimal control problems with state
constraints. It is shown that this phenomenon occurs because of the incompleteness of the …

We consider dynamic optimization problems for systems governed by differential inclusions.
The main focus is on the structure of and interrelations between necessary optimality …

This paper is concerned with an optimal control problem governed by a semilinear,
nonsmooth operator differential equation. The nonlinearity is locally Lipschitz-continuous …