00 SWITCHING LUMPED CONTROLS

Date

2015-01-01

Author

Hamidoglu, Ali

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

242
views

0
downloads

In this article, we consider the 1-d heat equation endowed with arbitrary number (finite) of lumped controls and under suitable conditions, we show that our approach allows building switching controls. For achieving this goal, we first introduce a new functional based on the adjoint system whose minimizers yield the switching controls. We show that, due to the time analyticity of the solutions, under suitable conditions on the location of the controllers, lumped switching controls exist in the 1-d heat equation.

Subject Keywords

Heat Equation, Variational Approach, Switching Controls

URI

https://hdl.handle.net/11511/63530

Journal

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Null controllability of heat equation with switching controls under Robin's boundary condition Hamidoglu, Ali (2016-04-01) In this paper, we consider the null controllability of 1-d heat equation endowed with Robin's boundary conditions, when the operator - d(2)/dx(2) has positive eigenvalues and try to find sufficient conditions for building switching controls. In [1], the author developed a first analysis of this problem with Dirichlet's boundary conditions and obtain sufficient conditions for switching controls. We firstly consider 1-d heat system endowed with two controls. Then we try to build switching control strategies g...
Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions Priya, G. Sudha; Prakash, P.; Nieto, J. J.; Kayar, Z. (Informa UK Limited, 2013-06-01) In this article, we consider a higher-order numerical scheme for the fractional heat equation with Dirichlet and Neumann boundary conditions. By using a fourth-order compact finite-difference scheme for the spatial variable, we transform the fractional heat equation into a system of ordinary fractional differential equations which can be expressed in integral form. Further, the integral equation is transformed into a difference equation by a modified trapezoidal rule. Numerical results are provided to verif...
On the consistency of the solutions of the space fractional Schroumldinger equation (vol 53, 042105, 2012) Bayin, Selcuk S. (2012-08-01) Recently we have reanalyzed the consistency of the solutions of the space fractional Schroumldinger equation found in a piecewise manner, and showed that an exact and a proper treatment of the relevant integrals prove that they are consistent. In this comment, for clarity, we present additional information about the critical integrals and describe how their analytic continuation is accomplished.
A Hilbert Space of Probability Mass Functions and Applications on the Sum-Product Algorithm Bayramoglu, Muhammet Fatih; Yılmaz, Ali Özgür (2008-09-05) In this paper a Hilbert space structure of probability mass functions (PMF) will be presented. The tools provided by the Hilbert space, specifically the norm and the inner product, may be useful while analyzing and improving the sum-product algorithm in many aspects. Our approach provides a metric distance between PMFs and a new point of a view of the log-likelihood ratio (LLR) such that the LLR representation is nothing but a Hilbert space representation.
On finite groups admitting a fixed point free abelian operator group whose order is a product of three primes Mut Sağdıçoğlu, Öznur; Ercan, Gülin; Department of Mathematics (2009) A long-standing conjecture states that if A is a finite group acting fixed point freely on a finite solvable group G of order coprime to jAj, then the Fitting length of G is bounded by the length of the longest chain of subgroups of A. If A is nilpotent, it is expected that the conjecture is true without the coprimeness condition. We prove that the conjecture without the coprimeness condition is true when A is a cyclic group whose order is a product of three primes which are coprime to 6 and the Sylow 2-sub...

Citation Formats

A. Hamidoglu, “00 SWITCHING LUMPED CONTROLS,” PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, pp. 83–90, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63530.