TY - JOUR
AU - Bahgat, Mohamed
TI - General Maple Code for Solving Scalar Linear Neutral Delay Differential Equations
JF - SOHAG JOURNAL OF SCIENCES
J2 - SOHAG J SCI
VL - 8
PY - 2023
IS - 2
SP - 199
EP - 205
PG - 7
SN - 2357-0938
DO - 10.21608/sjsci.2023.197035.1064
UR - https://m2.mtmt.hu/api/publication/34036017
ID - 34036017
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Sherman, Michelle
AU - Kerr, Gilbert
AU - Gonzalez-Parra, Gilberto
TI - Analytic solutions of linear neutral and non-neutral delay differential equations using the Laplace transform method: featuring higher order poles and resonance
JF - JOURNAL OF ENGINEERING MATHEMATICS
J2 - J ENG MATH
VL - 140
PY - 2023
IS - 1
PG - 17
SN - 0022-0833
DO - 10.1007/s10665-023-10276-5
UR - https://m2.mtmt.hu/api/publication/34122900
ID - 34122900
AB - In this article, we extend the Laplace transform method to obtain analytic solutions for linear RDDEs and NDDEs which have real and complex poles of higher order. Furthermore, we present first-order linear DDEs that feature resonance phenomena. The procedure is similar to the one where all of the poles are order one, but requires one to use the appropriate modifications when using Cauchy's residue theorem for the poles of higher order. The process for obtaining the solution relies on computing the relevant infinite sequence of poles and then determining the Laplace inverse, via the Cauchy residue theorem. For RDDEs, the poles can be obtained in terms of the Lambert W function, but for NDDEs,the complex poles, in most cases, must be computed numerically. We found that an important feature of first-order linear RDDES and NDDES with poles of higher order is that it is possible to incite the resonance phenomena, which in the counterpart ordinary differential equation cannot occur. We show that despite the presence of higher order poles or resonance phenomena, the solutions generated by the Laplace transform method for linear RDDEs and NDDEs that have higher order poles are still accurate.
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Kerr, Gilbert
AU - González-Parra, Gilberto
TI - Accuracy of the Laplace transform method for linear neutral delay differential equations
JF - MATHEMATICS AND COMPUTERS IN SIMULATION
J2 - MATH COMPUT SIMULAT
VL - 1
PY - 2022
SP - 1
EP - 25
PG - 25
SN - 0378-4754
DO - 10.1016/j.matcom.2022.02.017
UR - https://m2.mtmt.hu/api/publication/32708764
ID - 32708764
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Kerr, Gilbert
AU - González-Parra, Gilberto
AU - Sherman, Michele
TI - A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations
JF - APPLIED MATHEMATICS AND COMPUTATION
J2 - APPL MATH COMPUT
VL - 420
PY - 2022
PG - 28
SN - 0096-3003
DO - 10.1016/j.amc.2021.126914
UR - https://m2.mtmt.hu/api/publication/32586280
ID - 32586280
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Liu, Chenglong
AU - Nie, Tong
AU - Du, Yuchuan
AU - Cao, Jing
AU - Wu, Difei
AU - Li, Feng
TI - A Response-Type Road Anomaly Detection and Evaluation Method for Steady Driving of Automated Vehicles
JF - IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS
J2 - IEEE T INTELL TRANSP
VL - 1
PY - 2022
SP - 1
EP - 12
PG - 12
SN - 1524-9050
DO - 10.1109/TITS.2022.3182428
UR - https://m2.mtmt.hu/api/publication/32909349
ID - 32909349
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Sherman, Michelle
AU - Kerr, Gilbert
AU - González-Parra, Gilberto
TI - Comparison of Symbolic Computations for Solving Linear Delay Differential Equations Using the Laplace Transform Method
JF - MATHEMATICAL AND COMPUTATIONAL APPLICATIONS
J2 - MATH COMPUT APPL
VL - 27
PY - 2022
IS - 5
SP - 81
EP - 100
PG - 20
SN - 1300-686X
DO - 10.3390/mca27050081
UR - https://m2.mtmt.hu/api/publication/33114462
ID - 33114462
AB - In this paper, we focus on investigating the performance of the mathematical software program Maple and the programming language MATLAB when using these respective platforms to compute the method of steps (MoS) and the Laplace transform (LT) solutions for neutral and retarded linear delay differential equations (DDEs). We computed the analytical solutions that are obtained by using the Laplace transform method and the method of steps. The accuracy of the Laplace method solutions was determined (or assessed) by comparing them with those obtained by the method of steps. The Laplace transform method requires, among other mathematical tools, the use of the Cauchy residue theorem and the computation of an infinite series. Symbolic computation facilitates the whole process, providing solutions that would be unmanageable by hand. The results obtained here emphasize the fact that symbolic computation is a powerful tool for computing analytical solutions for linear delay differential equations. From a computational viewpoint, we found that the computation time is dependent on the complexity of the history function, the number of terms used in the LT solution, the number of intervals used in the MoS solution, and the parameters of the DDE. Finally, we found that, for linear non-neutral DDEs, MATLAB symbolic computations were faster than Maple. However, for linear neutral DDEs, which are often more complex to solve, Maple was faster. Regarding the accuracy of the LT solutions, Maple was, in a few cases, slightly better than MATLAB, but both were highly reliable.
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Che, Yiming
AU - Liu, Jiachen
AU - Cheng, Changqing
TI - Multi-fidelity modeling in sequential design for stability identification in dynamic time-delay systems
JF - CHAOS
J2 - CHAOS
VL - 29
PY - 2019
IS - 9
SP - 093105-1
PG - 12
SN - 1054-1500
DO - 10.1063/1.5097934
UR - https://m2.mtmt.hu/api/publication/30798426
ID - 30798426
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Kandala, Shanti S.
AU - Uchida, Thomas K.
AU - Vyasarayani, C. P.
TI - Pole Placement for Time-Delayed Systems Using Galerkin Approximations
JF - JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME
J2 - J DYN SYST-T ASME
VL - 141
PY - 2019
IS - 5
SP - 051012
SN - 0022-0434
DO - 10.1115/1.4042465
UR - https://m2.mtmt.hu/api/publication/30422027
ID - 30422027
N1 - Funding Agency and Grant Number: Department of Science and Technology, Ministry of Science and Technology [DST/INSPIRE/04/2014/000972]
Funding text: Department of Science and Technology, Ministry of Science and Technology (Grant No. DST/INSPIRE/04/2014/000972, Funder ID. 10.13039/501100001409).
Export Date: 28 November 2019
CODEN: JDSMA
LA - English
DB - MTMT
ER -
TY - BOOK
AU - Corduneanu, Constantin
AU - Li, Yizeng
AU - Mahdavi, Mehran
TI - Functional Differential Equations: Advances and Applications
PB - John Wiley & Sons
PY - 2016
SN - 1119189470
UR - https://m2.mtmt.hu/api/publication/26793779
ID - 26793779
LA - English
DB - MTMT
ER -
TY - CHAP
AU - Khalid, Hammood Mohammedal
AU - Noor, Atinah Ahmad
AU - Fadhel, Subhi Fadhel
ED - Rusli, Nursalasawati
ED - Zaimi, Wan Mohd Khairy Adly Wan
ED - Khazali, Khairul Anwar Mohamad
ED - Masnan, Maz Jamilah
ED - Daud, Wan Suhana Wan
ED - Abdullah, Nooraihan
ED - Yahya, Zainab
ED - Amin, Nor Azrita Mohd
ED - Aziz, Nurul Huda Abdul
ED - Yusuf, Yusmye Nur Abu
TI - Existence and uniqueness of the solution of delay differential equations
T2 - INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICoMEIA2016)
PB - American Institute of Physics (AIP)
CY - Melville (NY)
SN - 0735414335
T3 - AIP Conference Proceedings, ISSN 0094-243X ; 1775.
PY - 2016
DO - 10.1063/1.4965135
UR - https://m2.mtmt.hu/api/publication/26801790
ID - 26801790
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Mohammedali, KH
AU - Ahmad, NA
TI - Stability of linear delay differential equations using modified algebraic approach
JF - JOURNAL OF TELECOMMUNICATION ELECTRONIC AND COMPUTER ENGINEERING
J2 - J TELECOMM ELECTR COM ENG
VL - 8
PY - 2016
IS - 7
SP - 157
EP - 163
PG - 7
SN - 2180-1843
UR - https://m2.mtmt.hu/api/publication/27012306
ID - 27012306
N1 - Export Date: 28 November 2019
LA - English
DB - MTMT
ER -
TY - GEN
AU - Priyadharsini, S
TI - Stability Analysis of Fractional Differential System with Constant Delay
CY - 83
PY - 2016
SP - 337
EP - 350
UR - https://m2.mtmt.hu/api/publication/26793780
ID - 26793780
N1 - idéző Cím: Stability Analysis of Fractional Differential System with Constant Delay
idéző Folyóirat/Könyv cím/Szabadalmi szám: Journal of the Indian Mathematical Society
idéző Kötet: 83
idéző Megjelenés éve: 2016
idéző Sorozat cím: Journal of the Indian Mathematical Society
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Ahsan, Zaid
AU - Uchida, Thomas
AU - Vyasarayani, CP
TI - Galerkin approximations with embedded boundary conditions for retarded delay differential equations
JF - MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS
J2 - MATH COMP MODEL DYN
VL - 21
PY - 2015
IS - 6
SP - 560
EP - 572
PG - 13
SN - 1387-3954
DO - 10.1080/13873954.2015.1043741
UR - https://m2.mtmt.hu/api/publication/24794462
ID - 24794462
LA - English
DB - MTMT
ER -
TY - BOOK
AU - Breda, Dimitri
AU - Maset, Stefano
AU - Vermiglio, Rossana
TI - Stability of Linear Delay Differential Equations. A Numerical Approach with MATLAB
TS - A Numerical Approach with MATLAB
T3 - SpringerBriefs in Electrical and Computer Engineering
T3 - SpringerBriefs in Control, Automation and Robotics, ISSN 2192-6786
PB - Springer Netherlands
CY - New York, New York
CY - Dordrecht
CY - Heidelberg
CY - London
PY - 2015
SN - 9781493921065
DO - 10.1007/978-1-4939-2107-2
UR - https://m2.mtmt.hu/api/publication/24556827
ID - 24556827
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Çelik, Vedat
TI - Bifurcation Analysis of Fractional Order Single Cell with Delay
JF - INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
J2 - INT J BIFURCAT CHAOS
VL - 25
PY - 2015
IS - 2
SP - 1550020
SN - 0218-1274
DO - 10.1142/S0218127415500200
UR - https://m2.mtmt.hu/api/publication/24794463
ID - 24794463
LA - English
DB - MTMT
ER -
TY - CHAP
AU - Clark, AD
AU - Gejji, RS
AU - Ridley, AD
AU - Ross, AA
TI - The states of dilation in iris recognition (a preliminary study)
T2 - IEEE International Symposium on Technologies for Homeland Security, HST 2015
PB - Institute of Electrical and Electronics Engineers (IEEE)
CY - Piscataway (NJ)
SN - 9781479917372
PB - Institute of Electrical and Electronics Engineers (IEEE)
PY - 2015
DO - 10.1109/THS.2015.7225321
UR - https://m2.mtmt.hu/api/publication/25400442
ID - 25400442
N1 - A4
LA - English
DB - MTMT
ER -
TY - CHAP
AU - Gejji, RS
AU - Clark, AD
AU - Crihalmeanu, S
AU - Rossy, AA
TI - Understanding the subject-specific effects of pupil dilation on iris recognition in the NIR spectrum
T2 - IEEE International Symposium on Technologies for Homeland Security, HST 2015
PB - Institute of Electrical and Electronics Engineers (IEEE)
CY - Piscataway (NJ)
SN - 9781479917372
PB - Institute of Electrical and Electronics Engineers (IEEE)
PY - 2015
DO - 10.1109/THS.2015.7225317
UR - https://m2.mtmt.hu/api/publication/25400441
ID - 25400441
N1 - A4
LA - English
DB - MTMT
ER -
TY - THES
AU - KASLIK, EVA
TI - CONTRIBUTIONS TO DYNAMICAL SYSTEMS THEORY AND APPLICATIONS
PY - 2015
UR - https://m2.mtmt.hu/api/publication/24794472
ID - 24794472
N1 - N1 Google scholar HTML link
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Kaslik, Eva
AU - Sivasundaram, Seenith
TI - Differences between fractional- and integer-order dynamics
JF - AIP CONFERENCE PROCEEDINGS
J2 - AIP CONF PROC
VL - 1637
PY - 2014
SP - 479
EP - 486
PG - 8
SN - 0094-243X
DO - 10.1063/14904613
UR - https://m2.mtmt.hu/api/publication/25269332
ID - 25269332
N1 - BE Sivasundaram, S
LA - English
DB - MTMT
ER -
TY - GEN
AU - Lu, Qiyue
TI - Stability analysis of a natural circulation lead-cooled fast reactor
PY - 2014
UR - https://m2.mtmt.hu/api/publication/24794464
ID - 24794464
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Sadath, Anwar
AU - Vyasarayani, CP
TI - Galerkin approximations for stability of delay differential equations with time periodic delays
JF - JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
J2 - J COMPUT NONLIN DYN
VL - 10
PY - 2014
IS - 6
SN - 1555-1415
UR - https://m2.mtmt.hu/api/publication/24794466
ID - 24794466
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Sreekala, K
AU - Sivanandam, SN
TI - Stability Analysis of Nonlinear Systems with Transportation Lag
JF - International Journal of Mechanical Engineering and Information Technology
J2 - International Journal of Mechanical Engineering and Information Technology
VL - 2
PY - 2014
IS - 10
SP - 780
EP - 785
SN - 2348-196X
UR - https://m2.mtmt.hu/api/publication/24794470
ID - 24794470
N1 - N1 Google scholar HTML link
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Vyasarayani, C P
AU - Subhash, S
AU - Kalmár-Nagy, Tamás
TI - Spectral approximations for characteristic roots of delay differential equations
JF - INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
J2 - INT J DYN CONTROL
VL - 2
PY - 2014
IS - 2
SP - 126
EP - 132
PG - 7
SN - 2195-268X
DO - 10.1007/s40435-014-0060-2
UR - https://m2.mtmt.hu/api/publication/2829912
ID - 2829912
N1 - Publisher Springer Berlin Heidelberg
AB - In this paper we develop approximations to the characteristic roots of delay differential equations using the spectral tau and spectral least squares approach. We study the influence of different choices of basis functions in the spectral solution on the numerical convergence of the characteristic roots. We found that the spectral tau method performed better than the spectral least squares method. Legendre and Chebyshev bases provide much better convergence properties than the mixed Fourier basis.
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Liang, Jin
AU - Lu, Tzon-Tzer
AU - Xu, Yashan
TI - Stability for a Class of Differential Equations with Nonconstant Delay
JF - JOURNAL OF FUNCTION SPACES AND APPLICATIONS
J2 - J FUNCT SPACE APPL
VL - 2013
PY - 2013
SN - 0972-6802
DO - 10.1155/2013/159435
UR - https://m2.mtmt.hu/api/publication/25269333
ID - 25269333
N1 - Megjegyzés-23977677
AR: 159435
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Nwamba, JI
TI - Delayed Mathieu Equation with Fractional Order Damping: An Approximate Analytical Solution
JF - International Journal of Mechanics and Applications
J2 - International Journal of Mechanics and Applications
VL - 3
PY - 2013
IS - 4
SP - 70
EP - 75
PG - 6
SN - 2165-9281
DO - 10.5923/j.mechanics.20130304.02
UR - https://m2.mtmt.hu/api/publication/24794468
ID - 24794468
LA - English
DB - MTMT
ER -
TY - JOUR
AU - Kaslik, Eva
AU - Sivasundaram, Seenith
TI - Analytical and numerical methods for the stability analysis of linear fractional delay differential equations
JF - JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
J2 - J COMPUT APPL MATH
VL - 236
PY - 2012
IS - 16
SP - 4027
EP - 4041
PG - 15
SN - 0377-0427
DO - 10.1016/j.cam.2012.03.010
UR - https://m2.mtmt.hu/api/publication/24794469
ID - 24794469
LA - English
DB - MTMT
ER -