@article{MTMT:34036017, title = {General Maple Code for Solving Scalar Linear Neutral Delay Differential Equations}, url = {https://m2.mtmt.hu/api/publication/34036017}, author = {Bahgat, Mohamed}, doi = {10.21608/sjsci.2023.197035.1064}, journal-iso = {SOHAG J SCI}, journal = {SOHAG JOURNAL OF SCIENCES}, volume = {8}, unique-id = {34036017}, issn = {2357-0938}, year = {2023}, eissn = {2974-4296}, pages = {199-205} } @article{MTMT:34122900, title = {Analytic solutions of linear neutral and non-neutral delay differential equations using the Laplace transform method: featuring higher order poles and resonance}, url = {https://m2.mtmt.hu/api/publication/34122900}, author = {Sherman, Michelle and Kerr, Gilbert and Gonzalez-Parra, Gilberto}, doi = {10.1007/s10665-023-10276-5}, journal-iso = {J ENG MATH}, journal = {JOURNAL OF ENGINEERING MATHEMATICS}, volume = {140}, unique-id = {34122900}, issn = {0022-0833}, abstract = {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.}, keywords = {RESONANCE; Delay differential equations; LAPLACE TRANSFORM; Analytical solution; Higher order poles}, year = {2023}, eissn = {1573-2703} } @article{MTMT:32708764, title = {Accuracy of the Laplace transform method for linear neutral delay differential equations}, url = {https://m2.mtmt.hu/api/publication/32708764}, author = {Kerr, Gilbert and González-Parra, Gilberto}, doi = {10.1016/j.matcom.2022.02.017}, journal-iso = {MATH COMPUT SIMULAT}, journal = {MATHEMATICS AND COMPUTERS IN SIMULATION}, volume = {1}, unique-id = {32708764}, issn = {0378-4754}, year = {2022}, eissn = {1872-7166}, pages = {1-25}, orcid-numbers = {Kerr, Gilbert/0000-0002-4487-4346; González-Parra, Gilberto/0000-0001-5847-678X} } @article{MTMT:32586280, title = {A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations}, url = {https://m2.mtmt.hu/api/publication/32586280}, author = {Kerr, Gilbert and González-Parra, Gilberto and Sherman, Michele}, doi = {10.1016/j.amc.2021.126914}, journal-iso = {APPL MATH COMPUT}, journal = {APPLIED MATHEMATICS AND COMPUTATION}, volume = {420}, unique-id = {32586280}, issn = {0096-3003}, year = {2022}, eissn = {1873-5649} } @article{MTMT:32909349, title = {A Response-Type Road Anomaly Detection and Evaluation Method for Steady Driving of Automated Vehicles}, url = {https://m2.mtmt.hu/api/publication/32909349}, author = {Liu, Chenglong and Nie, Tong and Du, Yuchuan and Cao, Jing and Wu, Difei and Li, Feng}, doi = {10.1109/TITS.2022.3182428}, journal-iso = {IEEE T INTELL TRANSP}, journal = {IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS}, volume = {1}, unique-id = {32909349}, issn = {1524-9050}, year = {2022}, eissn = {1558-0016}, pages = {1-12}, orcid-numbers = {Liu, Chenglong/0000-0002-8421-7017; Nie, Tong/0000-0001-8403-6622; Du, Yuchuan/0000-0002-8497-3402} } @article{MTMT:33114462, title = {Comparison of Symbolic Computations for Solving Linear Delay Differential Equations Using the Laplace Transform Method}, url = {https://m2.mtmt.hu/api/publication/33114462}, author = {Sherman, Michelle and Kerr, Gilbert and González-Parra, Gilberto}, doi = {10.3390/mca27050081}, journal-iso = {MATH COMPUT APPL}, journal = {MATHEMATICAL AND COMPUTATIONAL APPLICATIONS}, volume = {27}, unique-id = {33114462}, issn = {1300-686X}, abstract = {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.}, year = {2022}, eissn = {2297-8747}, pages = {81-100}, orcid-numbers = {Sherman, Michelle/0000-0003-1615-0188; González-Parra, Gilberto/0000-0001-5847-678X} } @article{MTMT:30798426, title = {Multi-fidelity modeling in sequential design for stability identification in dynamic time-delay systems}, url = {https://m2.mtmt.hu/api/publication/30798426}, author = {Che, Yiming and Liu, Jiachen and Cheng, Changqing}, doi = {10.1063/1.5097934}, journal-iso = {CHAOS}, journal = {CHAOS}, volume = {29}, unique-id = {30798426}, issn = {1054-1500}, year = {2019}, eissn = {1089-7682}, pages = {093105-1} } @article{MTMT:30422027, title = {Pole Placement for Time-Delayed Systems Using Galerkin Approximations}, url = {https://m2.mtmt.hu/api/publication/30422027}, author = {Kandala, Shanti S. and Uchida, Thomas K. and Vyasarayani, C. P.}, doi = {10.1115/1.4042465}, journal-iso = {J DYN SYST-T ASME}, journal = {JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME}, volume = {141}, unique-id = {30422027}, issn = {0022-0434}, year = {2019}, eissn = {1528-9028}, pages = {051012} } @book{MTMT:26793779, title = {Functional Differential Equations: Advances and Applications}, url = {https://m2.mtmt.hu/api/publication/26793779}, isbn = {1119189470}, author = {Corduneanu, Constantin and Li, Yizeng and Mahdavi, Mehran}, publisher = {Wiley}, unique-id = {26793779}, year = {2016} } @inproceedings{MTMT:26801790, title = {Existence and uniqueness of the solution of delay differential equations}, url = {https://m2.mtmt.hu/api/publication/26801790}, author = {Khalid, Hammood Mohammedal and Noor, Atinah Ahmad and Fadhel, Subhi Fadhel}, booktitle = {INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICoMEIA2016)}, doi = {10.1063/1.4965135}, unique-id = {26801790}, year = {2016} } @article{MTMT:27012306, title = {Stability of linear delay differential equations using modified algebraic approach}, url = {https://m2.mtmt.hu/api/publication/27012306}, author = {Mohammedali, KH and Ahmad, NA}, journal-iso = {J TELECOMM ELECTR COM ENG}, journal = {JOURNAL OF TELECOMMUNICATION ELECTRONIC AND COMPUTER ENGINEERING}, volume = {8}, unique-id = {27012306}, issn = {2180-1843}, year = {2016}, eissn = {2289-8131}, pages = {157-163} } @misc{MTMT:26793780, title = {Stability Analysis of Fractional Differential System with Constant Delay}, url = {https://m2.mtmt.hu/api/publication/26793780}, author = {Priyadharsini, S}, unique-id = {26793780}, year = {2016}, pages = {337-350} } @article{MTMT:24794462, title = {Galerkin approximations with embedded boundary conditions for retarded delay differential equations}, url = {https://m2.mtmt.hu/api/publication/24794462}, author = {Ahsan, Zaid and Uchida, Thomas and Vyasarayani, CP}, doi = {10.1080/13873954.2015.1043741}, journal-iso = {MATH COMP MODEL DYN}, journal = {MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS}, volume = {21}, unique-id = {24794462}, issn = {1387-3954}, year = {2015}, eissn = {1744-5051}, pages = {560-572} } @book{MTMT:24556827, title = {Stability of Linear Delay Differential Equations. A Numerical Approach with MATLAB}, url = {https://m2.mtmt.hu/api/publication/24556827}, isbn = {9781493921065}, author = {Breda, Dimitri and Maset, Stefano and Vermiglio, Rossana}, doi = {10.1007/978-1-4939-2107-2}, publisher = {Springer Netherlands}, unique-id = {24556827}, year = {2015} } @article{MTMT:24794463, title = {Bifurcation Analysis of Fractional Order Single Cell with Delay}, url = {https://m2.mtmt.hu/api/publication/24794463}, author = {Çelik, Vedat}, doi = {10.1142/S0218127415500200}, journal-iso = {INT J BIFURCAT CHAOS}, journal = {INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS}, volume = {25}, unique-id = {24794463}, issn = {0218-1274}, year = {2015}, eissn = {1793-6551}, pages = {1550020} } @inproceedings{MTMT:25400442, title = {The states of dilation in iris recognition (a preliminary study)}, url = {https://m2.mtmt.hu/api/publication/25400442}, author = {Clark, AD and Gejji, RS and Ridley, AD and Ross, AA}, booktitle = {IEEE International Symposium on Technologies for Homeland Security, HST 2015}, doi = {10.1109/THS.2015.7225321}, publisher = {IEEE}, unique-id = {25400442}, year = {2015} } @inproceedings{MTMT:25400441, title = {Understanding the subject-specific effects of pupil dilation on iris recognition in the NIR spectrum}, url = {https://m2.mtmt.hu/api/publication/25400441}, author = {Gejji, RS and Clark, AD and Crihalmeanu, S and Rossy, AA}, booktitle = {IEEE International Symposium on Technologies for Homeland Security, HST 2015}, doi = {10.1109/THS.2015.7225317}, publisher = {IEEE}, unique-id = {25400441}, year = {2015} } @mastersthesis{MTMT:24794472, title = {CONTRIBUTIONS TO DYNAMICAL SYSTEMS THEORY AND APPLICATIONS}, url = {https://m2.mtmt.hu/api/publication/24794472}, author = {KASLIK, EVA}, unique-id = {24794472}, year = {2015} } @article{MTMT:25777436, title = {Galerkin Approximations for Stability of Delay Differential Equations With Time Periodic Delays}, url = {https://m2.mtmt.hu/api/publication/25777436}, author = {Sadath, Anwar and Vyasarayani, C P}, doi = {10.1115/1.4028631}, journal-iso = {J COMPUT NONLIN DYN}, journal = {JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS}, volume = {10}, unique-id = {25777436}, issn = {1555-1415}, year = {2015}, eissn = {1555-1423} } @article{MTMT:25269332, title = {Differences between fractional- and integer-order dynamics}, url = {https://m2.mtmt.hu/api/publication/25269332}, author = {Kaslik, Eva and Sivasundaram, Seenith}, doi = {10.1063/14904613}, journal-iso = {AIP CONF PROC}, journal = {AIP CONFERENCE PROCEEDINGS}, volume = {1637}, unique-id = {25269332}, issn = {0094-243X}, year = {2014}, eissn = {1551-7616}, pages = {479-486} } @misc{MTMT:24794464, title = {Stability analysis of a natural circulation lead-cooled fast reactor}, url = {https://m2.mtmt.hu/api/publication/24794464}, author = {Lu, Qiyue}, unique-id = {24794464}, year = {2014} } @article{MTMT:24794470, title = {Stability Analysis of Nonlinear Systems with Transportation Lag}, url = {https://m2.mtmt.hu/api/publication/24794470}, author = {Sreekala, K and Sivanandam, SN}, journal-iso = {International Journal of Mechanical Engineering and Information Technology}, journal = {International Journal of Mechanical Engineering and Information Technology}, volume = {2}, unique-id = {24794470}, year = {2014}, eissn = {2348-196X}, pages = {780-785} } @article{MTMT:2829912, title = {Spectral approximations for characteristic roots of delay differential equations}, url = {https://m2.mtmt.hu/api/publication/2829912}, author = {Vyasarayani, C P and Subhash, S and Kalmár-Nagy, Tamás}, doi = {10.1007/s40435-014-0060-2}, journal-iso = {INT J DYN CONTROL}, journal = {INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL}, volume = {2}, unique-id = {2829912}, issn = {2195-268X}, abstract = {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.}, keywords = {Delay, Spectrum, Spectral least squares, Spectral-tau}, year = {2014}, eissn = {2195-2698}, pages = {126-132}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620} } @article{MTMT:25269333, title = {Stability for a Class of Differential Equations with Nonconstant Delay}, url = {https://m2.mtmt.hu/api/publication/25269333}, author = {Liang, Jin and Lu, Tzon-Tzer and Xu, Yashan}, doi = {10.1155/2013/159435}, journal-iso = {J FUNCT SPACE APPL}, journal = {JOURNAL OF FUNCTION SPACES AND APPLICATIONS}, volume = {2013}, unique-id = {25269333}, issn = {0972-6802}, year = {2013}, eissn = {1758-4965} } @article{MTMT:24794468, title = {Delayed Mathieu Equation with Fractional Order Damping: An Approximate Analytical Solution}, url = {https://m2.mtmt.hu/api/publication/24794468}, author = {Nwamba, JI}, doi = {10.5923/j.mechanics.20130304.02}, journal-iso = {International Journal of Mechanics and Applications}, journal = {International Journal of Mechanics and Applications}, volume = {3}, unique-id = {24794468}, issn = {2165-9281}, year = {2013}, eissn = {2165-9303}, pages = {70-75} } @article{MTMT:24794469, title = {Analytical and numerical methods for the stability analysis of linear fractional delay differential equations}, url = {https://m2.mtmt.hu/api/publication/24794469}, author = {Kaslik, Eva and Sivasundaram, Seenith}, doi = {10.1016/j.cam.2012.03.010}, journal-iso = {J COMPUT APPL MATH}, journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS}, volume = {236}, unique-id = {24794469}, issn = {0377-0427}, year = {2012}, eissn = {1879-1778}, pages = {4027-4041} }