Abstract—This is an overview of the basic tools of nonsmooth analysis which are grounded on nonstandard models of set theory. By way of illustration we give a criterion for an infinitesimally optimal path of a general discrete dynamic system. DOI: 10.1134/S199047891203007
This book is devoted to the study of a class of optimal control problems arising in mathematical eco...
In this paper we survey various set-theoretic approaches that have been proposed over the last thirt...
In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a...
In the presented thesis, we study an application of nonstandard analysis to dynamical systems, in pa...
We generalize a maximum principle for optimal control problems involving sweeping systems previously...
This thesis concerns itself with some aspects of topological dynamics. We approach the subject using...
Optimality condition, Semi-infinite programming, Nonsmooth analysis, Constraint qualification,
Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this s...
Necessary optimality conditions for nonlinear nonsmooth two-dimensional discrete control systems are...
This book deals with nonsmooth structures arising within the optimization setting. It considers four...
We develop a generalized differentiation theory for nonsmooth functions and sets with nonsmooth boun...
The main goal of our study is an attempt to understand and classify nonsmooth structures arising wit...
A nonstandard set theory *ZFC is proposed that axiomatizes the nonstandard embedding *. Besides the ...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
In this paper we consider the optimal control problem minimax type for linear model of dynamic sys...
This book is devoted to the study of a class of optimal control problems arising in mathematical eco...
In this paper we survey various set-theoretic approaches that have been proposed over the last thirt...
In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a...
In the presented thesis, we study an application of nonstandard analysis to dynamical systems, in pa...
We generalize a maximum principle for optimal control problems involving sweeping systems previously...
This thesis concerns itself with some aspects of topological dynamics. We approach the subject using...
Optimality condition, Semi-infinite programming, Nonsmooth analysis, Constraint qualification,
Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this s...
Necessary optimality conditions for nonlinear nonsmooth two-dimensional discrete control systems are...
This book deals with nonsmooth structures arising within the optimization setting. It considers four...
We develop a generalized differentiation theory for nonsmooth functions and sets with nonsmooth boun...
The main goal of our study is an attempt to understand and classify nonsmooth structures arising wit...
A nonstandard set theory *ZFC is proposed that axiomatizes the nonstandard embedding *. Besides the ...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
In this paper we consider the optimal control problem minimax type for linear model of dynamic sys...
This book is devoted to the study of a class of optimal control problems arising in mathematical eco...
In this paper we survey various set-theoretic approaches that have been proposed over the last thirt...
In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a...
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