Some questions in the theory of oscillations and the theory of optimal control : collection of papers

Bibliographic Information

Some questions in the theory of oscillations and the theory of optimal control : collection of papers

edited by R.V. Gamkrelidze

(Proceedings of the Steklov Institute of Mathematics, v. 197, 1993, issue 1 of 4)

American Mathematical Society, 1993

Other Title

Некоторые вопросы теории колебаний и теории оптимального управления

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Includes bibliographies

Description and Table of Contents

Description

This book contains two fundamental papers. The first is, in essence, a short monograph devoted to the theory of periodic motions in singularly perturbed systems. The second deals with structural properties of the solutions of a system having infinitely many switchings on a finite time interval to Hamiltonian systems with discontinuous right-hand side.

Table of Contents

Asymptotic theory of relaxation oscillations by E. F. Mishchenko and A. Yu. Kolesov Regimes with increasingly more frequent switchings in optimal control problems by M. I. Zelikin and V. F. Borisov.

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