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 …

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 …

A theory of necessary conditions for optimal multiprocesses is presented. Optimal
multiprocesses are solutions to dynamic optimization problems described by families of …

It is well known that a form of the Pontryagin maximum principle applies to optimal control
problems involving a unilateral state constraint. We discuss how the need arises to solve …

We extend the theory of necessary conditions for nonsmooth problems of Bolza in three
ways: first, we incorporate state constraints of the intrinsic type $ x (t)\in X (t) $ for all $ t $; …

This work provides necessary conditions for optimality in problems of optimal control
expressed as instances of the generalized problem of Bolza, with the added feature that the …

This paper is concerned with gap phenomena and controllability conditions for free end-time
optimal control problems with endpoint and state constraints, in which the data are permitted …

Free-time dynamic optimization problems are treated with state constraints in which the data
is permitted to be measurable with respect to the time variable. Necessary conditions for …

Abstract Let F: 0, T× R n→ 2 R n be a set-valued map with compact values; let η: R n→ R m
be a locally Lipschitzian map, z (t) a given trajectory, and R the reachable set at T of the …