Non-classical optimality condition in the problem of control by boundary value conditions of a semi-linear hyperbolic system
type: Item
instance of: scholarly article
title: Non-classical optimality condition in the problem of control by boundary value conditions of a semi-linear hyperbolic system
zbMATH Open document ID: 0834.49012
DOI: 10.3103/S1066369X09010010
published in: Russian Mathematics
publication date: 1995-09-17T00:00:00Z
review text: The paper discusses an optimal control problem for the first-order semilinear hyperbolic system with one spatial variable. The controls appear in the initial and boundary conditions. There is given a necessary optimality condition expressed by means of characteristics of the system. An iterative optimization procedure (based on this necessary optimality condition) is proposed.
Mathematics Subject Classification ID: 49K20
zbMATH DE Number: 794557
zbMATH Keywords: optimal control
zbMATH Keywords: semilinear hyperbolic system
zbMATH Keywords: necessary optimality condition
author: Aleksandr Valer'evich Arguchintsev
reviewed by: Uldis Raitums
MaRDI profile type: Publication
cites work: Q3663911
cites work: Lyapunov-Krotov inequality and sufficient conditions in optimal control
cites work: Linear Lyapunov-Krotov functions and sufficient conditions for optimality in the form of the maximum principle
cites work: Q3785473
cites work: Optimization and nonsmooth analysis
cites work: Optimal control
cites work: The optimal control problem for differential inclusion with state constraint. Smooth approximations and necessary conditions of optimality
cites work: Q5323180
cites work: A Nondegenerate Maximum Principle for the Impulse Control Problem with State Constraints
cites work: Q4040624
cites work: Q4501646
cites work: Q4387695
cites work: Q4855775
cites work: Q5754054
cites work: Q4263359
cites work: Nonsmooth analysis in control theory: a survey
cites work: Control design for autonomous vehicles: a dynamic optimization perspective
cites work: Q3993242
cites work: Minimax solutions of Hamilton-Jacobi equation
cites work: Semiconcave functions, Hamilton-Jacobi equations, and optimal control
cites work: Q5754050
cites work: Q5645995
cites work: Q4001474
cites work: Q3913350
cites work: Second order improving methods for optimal control problems
cites work: Q3030577
cites work: Q4073982
cites work: Q3673541
cites work: Q4195520
cites work: Optimality conditions of the maximum principle type in Goursat-Darboux systems
cites work: Q4810217
cites work: Q4692459
cites work: Applications of Optimal Multiprocesses
cites work: Optimal Multiprocesses
cites work: Maximum principle for optimal control problems with intermediate constraints
cites work: A simple `finite approximations' proof of the Pontryagin maximum principle under reduced differentiability hypotheses
cites work: Convex-valued Lipschitz differential inclusion and Pontryagin's maximum principle
cites work: Needle variations and almost lower semicontinuous differential inclusions
cites work: Strong invariance and one-sided Lipschitz multifunctions
cites work: Q3324260
cites work: Q4369661
cites work: Q3335579
cites work: An example of an optimal control problem whose extremals possess a continual set of discontinuities of the control function
cites work: A proximal characterization of the reachable set
cites work: A Characterization of the Reachable Set for Nonlinear Control Systems
cites work: Some Characterizations of Optimal Trajectories in Control Theory
cites work: Optimality conditions and synthesis for the minimum time problem
cites work: Proximal Analysis and the Minimal Time Function
cites work: Dynamic Programming for Nonlinear Systems Driven by Ordinary and Impulsive Controls
cites work: Q3147158
cites work: Weakest Conditions for Existence of Lipschitz Continuous Krotov Functions in Optimal Control Theory
cites work: New Global Optimality Conditions in Optimal Control Theory
cites work: Set-valued analysis
cites work: Q3940379
cites work: Q3125198
cites work: The solution of optimal control problems using linearization methods
cites work: The projection method in linear-quadratic problems of optimal control
cites work: Iteration procedures for solving problems of optimal control on the basis of quasigradient approximations
cites work: Q4346419
cites work: Q5693853
cites work: Q3925450
full work available at URL: s1066369x09010010
OpenAlex ID: W2017435156

Non-classical optimality condition in the problem of control by boundary value conditions of a semi-linear hyperbolic system (cites work)
cites work: Non-classical optimality condition in the problem of control by boundary value conditions of a semi-linear hyperbolic system