Peer-reviewed Scholarly Work

M. Akil, ---------, V. Régnier, Stability Analysis of Fully-Elastic/Piezoelectric Three-Layer Laminates: The Role of Active Boundary and Passive Viscous and Structural Damping Under Various Boundary Conditions, preprint.

---------, Z. Haider, A novel robust sensor design for a cantilevered Rao-Nakra-type sandwich beam model by the order-reduction technique, preprint.

---------, Z. Haider, A.K. Aydin, Uniform Observability for a Novel Finite Difference Discretization of a fully-clamped Euler-Bernoulli Beam, preprint.

I. Khalilullah, ---------, Uniformly  Exponentially Stable Finite-Difference Model Reduction of a Heat and Piezoelectric Beam Interaction with Static or Hybrid Feedback Controllers, preprint.

---------, R. Emran, Revisiting the Direct Fourier Filtering Technique for the Boundary Damped Wave Equation, submitted.

---------, Output Feedback Stabilization for a Magnetizable Piezoelectric Beam with a Dynamic Load, submitted.

---------, Z. Haider, A Robust Finite Difference Model Reduction for the Uniform Spectral Observability of a Fully-Clamped Three-Layer Mead-Marcus-type Smart Laminate, submitted.

U. Rasaq, ---------, Uniform Exponential Stability in Finite-Difference Model Reduction for Magnetizable Piezoelectric Beams with Non-Collocated Observers, submitted.

M. Akil, S. Nicaise,  ---------, H. Saleh, Advancing Insights into the Stabilization of Novel Serially-Connected Magnetizable Piezoelectric and Elastic Beams, submitted.

---------, R. Emran, A.K. Aydin, Maximal Decay Rate and Optimal Sensor Feedback Amplifiers for Fast Stabilization of  Magnetizable Piezoelectric Beam Equations, submitted, arXiv:2306.10705.

---------, A.K. Aydin, J. Walterman, A Robust Finite-Difference Model Reduction for the Boundary Feedback Stabilization of Fully-dynamic Piezoelectric Beams, submitted, arXiv:2309.07492.

J. Walterman, A.K. Aydin, ---------, The Control of Heat and Structure Interactions with Boundary Feedback Controllers, Wolfram Demonstration Project, submitted.

M. Akil, G. Fragnelli, S. Ismail, ---------, Stabilization of a Beam-Heat Coupled Transmission System with Memory under Various Thermal Laws, submitted.

---------, I. Khalilullah, U. Rasaq, (2024) The Exponential Stabilization of Thermal and Piezoelectric Beam Interactions with Various Types of Feedback Controllers, 2024 IEEE American Control Conference, Toronto, Canada, in print.

---------, U. Rasaq, I. Khalilullah,  (2024) Boundary Output Feedback Stabilization for a Magnetizable Piezoelectric Beam Model, 2024 IEEE American Control Conference, Toronto, Canada, in print.

M. Akil, S. Nicaise,  ---------, V. Régnier, (2024) Stability Results for Novel Serially-connected Magnetizable Piezoelectric and Elastic Smart-System Designs, Applied Mathematics and Optimization, 89-64, 1--50.

A.K. Aydin, ---------, (2023) A novel sensor design for a cantilevered Mead- Marcus-type sandwich beam model by the order-reduction technique, ESAIM: Control, Optimisation and Calculus of Variations, vol 29-74, 35 pages.

B. Feng, ---------, (2023) Stability results for piezoelectric beams with a long-range memory in the boundary, Mathematische Nachrichten, (296-9), 4206-4235. 

A.K. Aydin, ---------, J. Walterman, (2023) A Novel Finite Difference-based Model Reduction and a Sensor Design for a Multilayer Smart Beam with Arbitrary Number of Layers, IEEE Control Systems Letters, vol. 7, 1548-1553.

J. Walterman, A.K. Aydin, Samuel Leveridge, ---------, (2023) Longitudinal Piezoelectric Beam Dynamics, Wolfram Demonstrations Project, Published: February 7, 2023. DOI:10.13140/RG.2.2.23563.36648

B. Feng, ---------, (2023) Long-time behavior of a nonlinearly damped Rao-Nakra sandwich beam, Applied Mathematics and Optimization, 87, Article number: 19 (52 pages).

S. El Alaoui, ---------, M. Ouzahra, (2023) Boundary Feedback Stabilization of Nonlinear Piezoelectric Extensible Beams,  Zeitschrift für angewandte Mathematik und Physik (ZAMP), 74, Article number: 15.

M.M. Freitas, ---------, G. Liu, A.J.A Ramos, E.R.N. Fonseca (2023), Existence and robustness results of attractors for partially-damped piezoelectric beams, Evolution Equations and Control Theory, (12-3) 991-1013. https://doi.org/10.3934/eect.2022057.

A.K. Aydin, M. Poynter, ----------, (2023) Vibration Suppression on a Hinged Three-Layer Sandwich Beam, Wolfram Demonstrations Project, Published: January 2, 2023.

A.K. Aydin, M. Poynter, ----------, (2023) Feedback Sensor Design for a Cantilevered Three-Layer Sandwich Beam, Wolfram Demonstrations Project, Published: January 2, 2023.

---------, A.K. Aydin (2022), Robust-Filtering of Sensor Data for the Finite Difference Model Reduction of a Piezoelectric Sandwich Beam, Proceedings of the 61st IEEE Conf. on Decision and Control, Cancun, Mexico, 6535-6541.

J. Walterman, A.K. Aydin, M. Poynter, ----------, (2022) Stabilization of the Wave Equation by the Direct Fourier Filtering, Wolfram Demonstrations Project, Published: September 16, 2022.

M. Poynter, L. Stewart, A.K. Aydin, ---------, (2022) Boundary-Feedback Control of Vibrations on a String with and without Filtering, Wolfram Demonstrations Project, Published: June 30, 2022.

G. Liu, ---------, M. Wang (2022), Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects, Nonlinear Analysis: Real World Applications, vol. 68, 103666.

M.J. Dos Santos, ---------, M.M. Freitas, A.J.A Ramos, D.S. Almeida Junior (2022), On global attractors for a novel nonlinear piezoelectric beam model with magnetic effects and long-range memory, Zeitschrift für angewandte Mathematik und Physik (ZAMP), 73, Article Number: 136.

M.M. Freitas, ---------, A.J.A Ramos, (2022) Long time  dynamics and   upper semi-continuity  with respect to magnetic permeability of attractors  to electrostatic piezoelectric beams with nonlinear boundary dissipation, ESAIM: Control, Optimisation and Calculus of Variations, Volume 28, Article Number 39, 26 pages.

B. Feng, ---------, (2022) Exponential stability results for the boundary-controlled fully-dynamic piezoelectric beams with various distributed and boundary delays, Journal of Mathematical Analysis and Applications, 508-1, 125845.

---------, W. Horner, (2021) Uniform boundary observability of Finite Difference approximations of non-compactly-coupled piezoelectric beam equations, Applicable Analysis, (101-5), 1571-1592.

M. M. Freitas, A.J.A. Ramos, ---------, D. S. Almeida Jr., D, (2021) Long time dynamics for fractional piezoelectric system with magnetic and thermal effects, Journal of Differential Equations (280), 891-927.

 A.J.A. Ramos, ---------, M. M. Freitas, D. S. Almeida Jr., D. Martins, (2021) Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed damping feedback, Zeitschrift für angewandte Mathematik und Physik (ZAMP), (72-26),1-15.

N. Gerstenschlager, ---------,  L. Zheng, (2022) Transforming in Calculus courses with cutting-edge Video Recording and Editing Technologies – A Case Study, 2021 ICTCM Proceedings.

--------, (2021) Stabilization results for well-posed potential formulations of a current-controlled piezoelectric beam and their approximations, Applied Mathematics and Optimization, 84, 877–914.

D.J. Price, E. Moore, --------, (2020) Boundary Stabilization of Euler-Bernoulli and Rayleigh Beam Vibrations, Wolfram Demonstrations Project, Published: December 18, 2020.

D.J. Price, E. Moore, --------, (2020) Boundary Control of a 1D Wave Equation by the Filtered Finite-Difference Method, Wolfram Demonstrations Project, Published: June 3, 2020.

--------, (2019) Uniform boundary observability of semi-discrete finite difference approximations of a Rayleigh beam equation with only one boundary observation, Proc. of the 2019 IEEE 58th Conference on Decision and Control (CDC), Nice, France, 2019, 7708-7713. 

--------, Mikhail Khenner, (2019) An alternate numerical treatment for nonlinear PDE models of piezoelectric laminates, Proc. SPIE 10967, Active and Passive Smart Structures and Integrated Systems XII, 109671R-20 pages. 

--------, K.A. Morris, (2019) Modeling and stabilization of current-controlled piezoelectric beams with dynamic electromagnetic field, ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), (26-8), 1-24.

--------, (2018)  Dynamic and non-dynamic modeling for a piezoelectric smart beam and related preliminary stabilization results, Evolution Equations and Control Theory, (7-4), 639-668. 

--------, (2018) Potential formulation for charge or current-controlled piezoelectric smart composites and stabilization results: electrostatic vs. quasi-static vs. fully-dynamic approaches, IEEE Transactions on Automatic Control, (64-3), 989-1002.

-------, (2018) Exponential stabilization of a smart piezoelectric composite beam with only one boundary controller, Proc. of the 6th IFAC Symposium on Lagrangian and Hamiltonian Methods for Nonlinear Control, Valparaíso, Chile, IFAC  51-3, 80–85.

--------, (2018) Nonlinear modeling and preliminary stabilization results for a class of piezoelectric smart composite beams, Proc. Volume 10595, Active and Passive Smart Structures and Integrated Systems XII; 105952C-20 pages. 

 --------, (2017) Modeling and controlling an active constrained layered (ACL) beam  actuated by two voltage sources with/without magnetic effects, IEEE Transactions on Automatic Control, (62-12),  6445-6450.

 --------, (2016) Modeling and well-posedness results for active constrained layered (ACL) beams with/without magnetic effects, Proc. SPIE 9799, Active and Passive Smart Structures and Integrated Systems, 97991F. 

--------, (2016) Semigroup well-posedness of a voltage controlled active constrained layered (ACL) beam with magnetic effects, The Proc. of the American Control Conference, 4580-4585.

 --------, (2015) "Further stabilization  results for voltage-actuated piezoelectric beams with magnetic effects," Mathematics of Control, Signals, and Systems, (27-2), 219--244.

K. Morris, --------, (2014) "Comparison  of stabilization of  current-actuated  and voltage-actuated piezoelectric beams," The Proc. of the 54th IEEE Conference on Decision & Control, 571-576.

K. Morris, --------, (2014) "Modeling and stabilization of current-actuated piezoelectric beams," The Proc. of the International Symposium on Mathematical Theory of Networks and Systems.

--------, K. Morris, (2014) "Modeling an elastic beam with piezoelectric patches by including magnetic effects," The Proc. of the American Control Conference, 1045-1050.

K. Morris, --------, (2014) "Modeling and stabilizability of voltage-actuated piezoelectric beams with magnetic effects," SIAM Journal on Control and Optimization, (52-4), 2371-2398.

--------, S. W. Hansen, (2014) "Exact controllability result for a multi-layer Rao-Nakra sandwich beam," SIAM Journal on Control and Optimization, (52-2),  1314-1337.  

K. Morris,--------, (2013) "Strong stabilization of  piezoelectric beams with magnetic effects,"  The Proc. of the IEEE Conference on Decision & Control, 3014-3019. 

--------, S. W. Hansen,  (2013) "Uniform stabilization of a multi-layer Rao-Nakra sandwich beam," Evolution Equations  and Control Theory, (2-4), 695-710.

K. Han, H. Huy, E. Ko, --------, C. Simon, C. Tan., (2012) "A variational approach to modeling aircraft hoses and flexible conduits,” Mathematics-in-Industry Case Studies, Volume 4, 1-13.

--------, S.W. Hansen, (2011) "Exact controllability of  a Rayleigh beam with a single boundary control", Mathematics of Control, Signals, and Systems, (23-1), 2578-2583.

S.W. Hansen, --------, (2010) "Exact boundary controllability of an abstract Mead-Marcus sandwich beam model", The Proc. of the IEEE Conference on Decision & Control, 2578-2583.

--------, E. Inan, (2007) "One-dimensional wave propagation problem in a nonlocal finite medium with Finite Difference Method", Springer  Proc. in Physics (111), 383-388.