Pontryagin maximum principle for optimal sampled-data control problems
نویسندگان
چکیده
منابع مشابه
Pontryagin Maximum Principle for Optimal Control of
In this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle. The main tools used are the Ekeland's variational principle combined with penalization and spike variation techniques. 1. Introduction. The purpose of this paper is to present a method for deriving a Pontryagin ...
متن کاملPontryagin Maximum Principle for Finite Dimensional Nonlinear Optimal Control Problems on Time Scales
In this article we derive a strong version of the Pontryagin Maximum Principle for general nonlinear optimal control problems on time scales in finite dimension. The final time can be fixed or not, and in the case of general boundary conditions we derive the corresponding transversality conditions. Our proof is based on Ekeland’s variational principle. Our statement and comments clearly show th...
متن کاملThe Pontryagin Maximum Principle for Nonlinear Optimal Control Problems with Infinite Horizon
Inhaltsverzeichnis Liste der wichtigsten Bezeichnungen 5 1. Einleitung 7
متن کاملThe Pontryagin Maximum Principle
Theorem (PontryaginMaximum Principle). Suppose a final time T and controlstate pair (û, x̂) on [τ, T ] give the minimum in the problem above; assume that û is piecewise continuous. Then there exist a vector of Lagrange multipliers (λ0, λ) ∈ R × R with λ0 ≥ 0 and a piecewise smooth function p: [τ, T ] → R n such that the function ĥ(t) def =H(t, x̂(t), p(t), û(t)) is piecewise smooth, and one has ̇̂ ...
متن کاملA Pontryagin Maximum Principle for Infinite-Dimensional Problems
Abstract. A basic idea of the classical approach for obtaining necessary optimality conditions in optimal control is to construct suitable “needle-like control variations.” We use this idea it to prove the main result of the present paper—a Pontryagin maximum principle for infinite-dimensional optimal control problems with pointwise terminal constraints in arbitrary Banach state space. By refin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IFAC-PapersOnLine
سال: 2015
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2015.11.063