The bang–bang theorem via Baire category: a dual approach

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Bang-Bang theorem via Baire category. A Dual Approach

The paper develops a new approach to the classical bang-bang theorem in linear control theory, based on Baire category. Among all controls which steer the system from the origin to a given point x̄, we consider those which minimize an auxiliary linear functional φ. For all φ in a residual set, we show that the minimizing control is unique and takes values within a set of extreme points.

متن کامل

On the Baire Category Theorem

Let T be a topological structure and let A be a subset of the carrier of T . Then IntA is a subset of T . Let T be a topological structure and let P be a subset of the carrier of T . Let us observe that P is closed if and only if: (Def. 1) −P is open. Let T be a non empty topological space and let F be a family of subsets of T . We say that F is dense if and only if: (Def. 2) For every subset X...

متن کامل

An analogue of the Baire category theorem

Every definably complete expansion of an ordered field satisfies an analogue of the Baire Category Theorem.

متن کامل

Extremal Solutions of Differential Inclusions via Baire Category: a Dual Approach

Let F be a continuous multifunction on IR with compact convex values. For any vector w, let F(x) ⊆ F (x) be the subset of points which maximize the inner product with w. Call W the set of all continuous functions w : [0, T ] 7→ IR with the following property: all solutions to the Cauchy problem ẋ(t) ∈ F(x(t)), x(0) = 0, are also solutions to ẋ(t) ∈ extF (x(t)). We prove that W is residual in C(...

متن کامل

Baire category theorem and its consequences

In this notes we talk about the Baire category theorem and its consequences: the BanachSteinhaus theorem, the open mapping theorem and the closed graph theorem.

متن کامل

ذخیره 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: Nonlinear Differential Equations and Applications NoDEA

سال: 2016

ISSN: 1021-9722,1420-9004

DOI: 10.1007/s00030-016-0400-3