Necessary conditions in a nonsmooth problem of optimal control

V. I. Plotnikov; M. I. Sumin

doi:10.1007/bf01142709

Necessary conditions in a nonsmooth problem of optimal control

Mathematical Notes ◽

10.1007/bf01142709 ◽

1982 ◽

Vol 32 (2) ◽

pp. 574-579

Author(s):

V. I. Plotnikov ◽

M. I. Sumin

Keyword(s):

Optimal Control ◽

Necessary Conditions ◽

Nonsmooth Problem

NECESSARY CONDITIONS ON EXISTENCE OF OPTIMAL CONTROL FOR A CLASS OF DISTRIBUTED PARAMETER SYSTEMS——CONTROL IN COEFFICIENTS (II)

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30522-8 ◽

1986 ◽

Vol 6 (2) ◽

pp. 179-194 ◽

Cited By ~ 1

Author(s):

Wenhuan Yu

Keyword(s):

Optimal Control ◽

Necessary Conditions ◽

Distributed Parameter Systems ◽

Distributed Parameter ◽

Control In Coefficients ◽

Systems Control ◽

Existence Of Optimal Control

Necessary conditions for partially observed optimal control of general McKean–Vlasov stochastic differential equations with jumps

International Journal of Control ◽

10.1080/00207179.2021.1961020 ◽

2021 ◽

pp. 1-12

Author(s):

Hakima Miloudi ◽

Shahlar Meherrem ◽

Imad Eddine Lakhdari ◽

Mokhtar Hafayed

Keyword(s):

Optimal Control ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Necessary Conditions ◽

Partially Observed

The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0233-0 ◽

2012 ◽

Vol 156 (1) ◽

pp. 115-126 ◽

Cited By ~ 36

Author(s):

Tian Liang Guo

Keyword(s):

Optimal Control ◽

Necessary Conditions ◽

Fractional Optimal Control

On the optimal control of systems having pure time delays and singular arcsI, Some necessary conditions for optimality†

International Journal of Control ◽

10.1080/00207177208932327 ◽

1972 ◽

Vol 16 (5) ◽

pp. 963-976 ◽

Cited By ~ 13

Author(s):

M. A. SOUMAN ◽

W. H. RAY

Keyword(s):

Optimal Control ◽

Time Delays ◽

Necessary Conditions ◽

Necessary Conditions For Optimality

General schemes of necessary conditions for extrema and problems of optimal control

Russian Mathematical Surveys ◽

10.1070/rm1970v025n05abeh003799 ◽

1970 ◽

Vol 25 (5) ◽

pp. 109-115 ◽

Cited By ~ 3

Author(s):

A A Milyutin

Keyword(s):

Optimal Control ◽

Necessary Conditions

Necessary conditions for optimal control of general N-D model

The Fourth International Workshop on Multidimensional Systems, 2005. NDS 2005. ◽

10.1109/nds.2005.195355 ◽

2005 ◽

Author(s):

A. Dzielinski

Keyword(s):

Optimal Control ◽

Necessary Conditions ◽

D Model

Necessary conditions without differentiability assumptions in optimal control

Journal of Differential Equations ◽

10.1016/0022-0396(75)90080-7 ◽

1975 ◽

Vol 18 (1) ◽

pp. 41-62 ◽

Cited By ~ 33

Author(s):

J Warga

Keyword(s):

Optimal Control ◽

Necessary Conditions

Optimal Control of Systems Governed by Hemivariational Inequalities. Necessary Conditions

Free Boundary Value Problems ◽

10.1007/978-3-0348-7301-7_13 ◽

1990 ◽

pp. 207-228 ◽

Cited By ~ 1

Author(s):

P. D. Panagiotopoulos

Keyword(s):

Optimal Control ◽

Necessary Conditions ◽

Hemivariational Inequalities

First- and second-order necessary conditions with respect to components for discrete optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112342 ◽

2020 ◽

Vol 364 ◽

pp. 112342

Author(s):

Misir J. Mardanov ◽

Telman K. Melikov ◽

Samin T. Malik ◽

Kamran Malikov

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Second Order ◽

Control Problems ◽

Discrete Optimal Control ◽

Second Order Necessary Conditions

A Multiplier Rule for a Functional Subject to Certain Integrodifferential Constraints

Journal of Basic Engineering ◽

10.1115/1.3571056 ◽

1969 ◽

Vol 91 (2) ◽

pp. 185-189 ◽

Cited By ~ 1

Author(s):

M. Wittler ◽

C. N. Shen

Keyword(s):

Optimal Control ◽

Integral Equation ◽

Calculus Of Variations ◽

Necessary Conditions ◽

Inequality Constraint ◽

Fundamental Lemma ◽

First Order ◽

Multiplier Rule ◽

Nuclear Rocket ◽

Equation Constraint

A problem in the optimal control of a nuclear rocket requires the minimization of a functional subject to an integral equation constraint and an integrodifferential inequality constraint. A theorem giving first-order necessary conditions is derived for this problem in the form of a multiplier rule. The existence of multipliers and the arbitrariness of certain variations is shown. The fundamental lemma of the calculus of variations is applied. A simple example demonstrates the applicability of the theorem.