Next Article in Journal
Analysis of Operating Modes for Left Ventricle Assist Devices via Integrated Models of Blood Circulation
Next Article in Special Issue
On Complete Monotonicity of Solution to the Fractional Relaxation Equation with the nth Level Fractional Derivative
Previous Article in Journal
From Hahn–Banach Type Theorems to the Markov Moment Problem, Sandwich Theorems and Further Applications
Previous Article in Special Issue
Computer Analysis of Human Belligerency
Open AccessArticle

Revisiting the 1D and 2D Laplace Transforms

by 1,*,†,‡ and 2,†,‡
1
CTS-UNINOVA and DEE of NOVA School of Science and Technology, 2829-516 Caparica, Portugal
2
Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, 431 4249-015 Porto, Portugal
*
Author to whom correspondence should be addressed.
Current address: Campus of NOVA School of Science and Technology, Quinta da Torre, 2829-516 Caparica, Portugal.
These authors contributed equally to this work.
Mathematics 2020, 8(8), 1330; https://doi.org/10.3390/math8081330
Received: 13 July 2020 / Revised: 2 August 2020 / Accepted: 6 August 2020 / Published: 10 August 2020
(This article belongs to the Special Issue Nonlinear Dynamics)
The paper reviews the unilateral and bilateral, one- and two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition theorem. This problem is solved with all generality in the one- and two-dimensional cases with the bilateral Laplace transform. The case of fractional-order systems is also included. General two-dimensional linear systems are introduced and the corresponding transfer function is defined. View Full-Text
Keywords: laplace transform; two-dimensional laplace transform; initial-conditions; two-dimensional linear systems laplace transform; two-dimensional laplace transform; initial-conditions; two-dimensional linear systems
MDPI and ACS Style

Duarte Ortigueira, M.; Tenreiro Machado, J. Revisiting the 1D and 2D Laplace Transforms. Mathematics 2020, 8, 1330. https://doi.org/10.3390/math8081330

AMA Style

Duarte Ortigueira M, Tenreiro Machado J. Revisiting the 1D and 2D Laplace Transforms. Mathematics. 2020; 8(8):1330. https://doi.org/10.3390/math8081330

Chicago/Turabian Style

Duarte Ortigueira, Manuel; Tenreiro Machado, José. 2020. "Revisiting the 1D and 2D Laplace Transforms" Mathematics 8, no. 8: 1330. https://doi.org/10.3390/math8081330

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop