Title :
Potential for Incorrect Solutions of Continuous-Time LTI System Problems When Using Eigenfunctions
Author :
He, Zishu ; Xia, Wei ; Li, Huiyong
Author_Institution :
Sch. of Electron. Eng., China Electron. Sci. & Technol. Univ., Chengdu
fDate :
5/1/2008 12:00:00 AM
Abstract :
The concept of eigenfunctions for a linear time-invariant system is emphasized in this short paper. It is pointed out that when the concept of eigenfunctions is used, incorrect results may be obtained if the region of convergence of the system function is overlooked. As a consequence, incorrect solutions can be obtained, as was the case for an example found in a widely used textbook.
Keywords :
Laplace transforms; continuous time systems; eigenvalues and eigenfunctions; linear systems; continuous-time LTI system problems; eigenfunctions; linear time-invariant system; Convergence; Convolution; Eigenvalues and eigenfunctions; Helium; Laplace equations; Eigenfunctions; Laplace transforms; region of convergence;
Journal_Title :
Education, IEEE Transactions on
DOI :
10.1109/TE.2007.910364
