Bang-bang property for time optimal control of semilinear heat equation

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

Bang-bang property for time optimal control of semilinear heat equation

This paper studies the bang-bang property for time optimal controls governed by semilinear heat equation in a bounded domain with control acting locally in a subset. Also, we present the null controllability cost for semilinear heat equation and an observability estimate from a positive measurable set in time for the linear heat equation with potential.

متن کامل

An abstract ‘ bang - bang principle ’ and time - optimal boundary control of the heat equation 1

A principal technical result of this paper is that the onedimensional heat equation with boundary control is exactly null-controllable with control restricted to an arbitrary set E ⊂ [0, T ] of positive measure. A general abstract argument is presented to show that this implies the ‘bangbang’ property for time-optimal controls — i.e., such a control can take only extreme values of (the hull of)...

متن کامل

Attainable Subspaces and the Bang-Bang Property of Time Optimal Controls for Heat Equations

In this paper, we study two subjects on internally controlled heat equations with time varying potentials: the attainable subspaces and the bang-bang property for some time optimal control problems. We present some equivalent characterizations on the attainable subspaces, and provide a sufficient conditions to ensure the bang-bang property. Both the above-mentioned characterizations and the suf...

متن کامل

A Bang - Bang Principle of Time Optimal Internal Controls of the Heat Equation ∗

In this paper, we study a time optimal internal control problem governed by the heat equation in Ω × [0,∞). In the problem, the target set S is nonempty in L(Ω), the control set U is closed, bounded and nonempty in L(Ω) and control functions are taken from the set Uad = {u(·, t) : [0,∞) → L(Ω) measurable; u(·, t) ∈ U, a.e. in t }. We first establish a certain null controllability for the heat e...

متن کامل

Using Modified IPSO-SQP Algorithm to Solve Nonlinear Time Optimal Bang-Bang Control Problem

In this paper, an intelligent-gradient based algorithm is proposed to solve time optimal bang-bang control problem. The proposed algorithm is a combination of an intelligent algorithm called improved particle swarm optimization algorithm (IPSO) in the first stage of optimization process together with a gradient-based algorithm called successive quadratic programming method (SQP) in the second s...

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: Annales de l'Institut Henri Poincare (C) Non Linear Analysis

سال: 2014

ISSN: 0294-1449

DOI: 10.1016/j.anihpc.2013.04.005