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Triangular Orthogonal Functions for the Analysis of Continuous Time Systems

Anish Deb, +2 more
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The article was published on 2011-05-15 and is currently open access. It has received 40 citations till now. The article focuses on the topics: Orthogonal functions.

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Citations
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Journal ArticleDOI

Triangular functions (TF) method for the solution of nonlinear Volterra–Fredholm integral equations

Khosrow Maleknejad, +2 more
- 01 Nov 2010 - 
TL;DR: A numerical method based on an m-set of general, orthogonal triangular functions (TF) is proposed to approximate the solution of nonlinear Volterra-Fredholm integral equations.
Journal ArticleDOI

Optimal control of Volterra integral equations via triangular functions

Khosrow Maleknejad, +1 more
- 01 May 2011 - 
TL;DR: This paper presented an approximate method for solving optimal control problem of Volterra integral equations based upon orthogonal triangular functions that has been proved for optimal control and cost functionals.
Journal ArticleDOI

An expansion-iterative method for numerically solving Volterra integral equation of the first kind

Zahra Masouri, +2 more
- 01 Feb 2010 - 
TL;DR: An efficient expansion-iterative method based on the block-pulse functions is proposed for numerically solving Volterra integral equation of the first kind, and the approximate solution is most easily produced iteratively via the recurrence relation.
Journal ArticleDOI

Transfer function identification from impulse response via a new set of orthogonal hybrid functions (HF)

Anish Deb, +5 more
- 01 Jan 2012 - 
TL;DR: A new set of hybrid functions (HF) which evolved from the synthesis of sample-and-hold functions (SHF) and triangular functions (TF) is proposed which is employed for solving identification problem from impulse response data.
Journal ArticleDOI

Triangular functions method for the solution of Fredholm integral equations system

H. Almasieh, +1 more
- 01 Dec 2012 - 
TL;DR: In this article, a numerical method based on orthogonal triangular functions (TFs) is proposed to approximate the solution of Fredholm integral equations systems, which does not need any integration for obtaining the constant coefficients and can be applied in a simple and fast technique.
Related Papers (5)

A new set of orthogonal functions and its application to the analysis of dynamic systems

Anish Deb, +2 more
- 01 Jan 2006 - 

A new set of piecewise constant orthogonal functions for the analysis of linear siso systems with sample-and-hold

Anish Deb, +3 more
- 01 Mar 1998 - 

Walsh operational matrices for fractional calculus and their application to distributed systems

C.F. Cheng, +2 more
- 01 Mar 1977 - 

Block pulse functions, the most fundamental of all piecewise constant basis functions

Anish Deb, +2 more
- 01 Feb 1994 - 

Analysis and synthesis of dynamic systems containing time delays via block-pulse functions

Ganti Prasada Rao, +1 more