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 -