K. Ashburn, Z. Brown, ---------, Exponential Stability for the NASA's SCOLE Beam Networks with Interface-Localized Mass and Inertia: Mixed-Order Interface Control, 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, ---------, Uniform Observability of Clamped Three-Layer Beams via Finite Difference Reductions with Only One Boundary Observer: First Results and Euler–Bernoulli Beam Implications, preprint.
M. Akil, K. Ashburn, Z. Brown, G. Fragnelli, S. Ismail, ---------, Extending the NASA’s SCOLE Paradigm to
Beam Networks with Interface-Localized Mass and Inertia: Exponential and Polynomial Stability Results via Mixed-Order Interface Control, preprint.
Z. Brown, ---------, Hybrid PDE–ODE Wave Networks with an Inertial Interface and Boundary Controllers: Stability-Preserving Finite Difference Approximations, submitted.
Z. Brown, ---------, Lyapunov-Based Unconditional Exponential Stability for Discontinuous Interface Control in Wave Transmission Networks with Inertia-Generating Interfaces, submitted.
---------, R. Emran, Revisiting the Direct Fourier Filtering Technique for the Boundary Damped Wave Equation, submitted.
M. Akil, Z. Brown, I. Issa, ---------, Unlocking Sharp t^{-1/N} Energy Decay: Boundary-Only Control of Serially-Connected Wave Networks with N Inertia-Generating Interfaces, submitted.
---------, A.K. Aydin, J. Walterman, A Robust Finite-Difference Model Reduction for the Boundary Feedback Stabilization of Fully-dynamic Piezoelectric Beams, submitted.
M. Akil, Z. Brown, I. Issa, ---------, Dynamic Stabilization of Serially-Connected Strings with a Dynamical Interior Mass: Unveiling the Role of Higher‑Order Nodal Damping, submitted.
M. Akil, S. Ismail, ---------, G. Fragnelli, Extending the SCOLE Paradigm to Networks of Beams and a Novel Mixed-Order Boundary-Interface Control Strategy, submitted.
---------, Well-Posed Maxwell-Consistent Variational Models for Magnetizable Voltage-Controlled Piezoelectric Plates and Multilayer Smart Laminates, submitted.
M. Akil, Z. Brown, ---------, (2026) Unconditional Exponential Stability via Discontinuous Interface Control Design in Coupled Wave Equations with an Inertial Bound, IEEE Control Systems Letters, accepted.
---------, (2026) Exponential Stability-Preserving Model Reduction for Non-Collocated Output Feedback Stabilization in Piezoelectric Beams with Dynamic Tip Mass, Discrete and Continuous Dynamical Systems - B, vol 32, 405-426.
U. Rasaq, ---------, (2026) Uniform Exponential Stability in Finite-Difference Model Reduction for Magnetizable Piezoelectric Beams with Non-Collocated Observers, Journal of Mathematical Analysis and Applications, vol 553-1, Paper no: 129842.
M. Akil, I. Issa, ---------, C. Pignotti, (2025) New Stability Results for Piezoelectric Beams with a Dynamic Tip Load: Partial Damping and the Interplay of Lower- and Higher-order Effects, Applied Mathematics and Optimization, 92 (23), 1-34.
Z. Brown, ---------, (2025) Two Strings with a Dynamic Interior Mass: A Feedback Control Design with Guaranteed Exponential Decay, IEEE Control Systems Letters, vol. 9, pp. 1970-1975.
M. Akil, S. Nicaise, ---------, H. Saleh, (2025) Advancing Insights into the Stabilization of Novel Serially-Connected Magnetizable Piezoelectric and Elastic Beams, SIAM Journal on Control and Optimization, 63 (3), 1798-1825.
M. Akil, ---------, V. Régnier, H. Saleh, (2025) More Insights into Stability Analysis of Shear-Damped Laminates]{More Insights into Stability Analysis of Shear-Damped Laminates: The Role of Active Boundary and Lower-Order Passive Distributed Dampers Under Various Boundary Conditions, ESAIM: Control, Optimisation and Calculus of Variations, Volume 31 (52), 29 pages.
I. Khalilullah, ---------, (2025) Uniformly Exponentially Stable Finite-Difference Model Reduction of a Heat and Piezoelectric Beam Interaction with Static or Hybrid Feedback Controllers, Evolution Equations and Control Theory, 14 (2), 339-366.
M. Akil, G. Fragnelli, S. Ismail, ---------, (2025) Exponential Stabilization of an Euler-Bernoulli Beam by a Heat Equation Involving Memory Effects, Asymptotic Analysis, 141 (3), 157–177.
---------, A.K. Aydin, R. Emran, (2025) Exponential Stability and Design of Sensor Feedback Amplifiers for Fast Stabilization of Magnetizable Piezoelectric Beam Equations, IEEE Transactions of Automatic Control, 70 (2),1374-1379.
A.K. Aydin, Z. Haider, ---------, (2024) A New Semi-Discretization of the Fully Clamped Euler-Bernoulli Beam Preserving Boundary Observability Uniformly, IEEE Control Systems Letters, 8, 2955-2960.
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.
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.
B. Feng, ---------, (2023) Stability results for piezoelectric beams with a long-range memory in the boundary, Mathematische Nachrichten, 296 (9), 4206-4235.
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.
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.
B. Feng, ---------, (2023) Long-time behavior of a nonlinearly damped Rao-Nakra sandwich beam, Applied Mathematics and Optimization, 87, Article number: 19 (52 pages).
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.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.
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.
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.
--------, (2021) Stabilization results for well-posed potential formulations of a current-controlled piezoelectric beam and their approximations, Applied Mathematics and Optimization, 84, 877–914.
--------, 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) 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) Dynamic and non-dynamic modeling for a piezoelectric smart beam and related preliminary stabilization results, Evolution Equations and Control Theory, 7 (4), 639-668.
--------, (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
--------, (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) "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.
--------, 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.
---------, J. Walterman, (2025) A Uniform Observability Result for a Novel Power Transmission Line Model with Continuous and Discontinuous Joints, Proceedings of the European Control Conference, Greece, 1648-1653.
---------, Z. Haider, (2024) A Robust Finite Difference Model Reduction for the Uniform Spectral Observability of a Fully-Clamped Three-Layer Mead-Marcus-type Smart Laminate, Proceedings of the 63rd IEEE Conf. on Decision and Control, Milano, Italy, 8932-8937.
---------, (2024) Boundary Observer Design and Error Tracking for a Magnetizable Piezoelectric Beam with a Dynamic Tip Load, Proceedings of the 63rd IEEE Conf. on Decision and Control, Milano, Italy, 8498-8503.
---------, 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 (ACC), Toronto, ON, Canada, 2024, pp. 5327-5332, doi: 10.23919/ACC60939.2024.10644174.
---------, U. Rasaq, I. Khalilullah, (2024) Boundary Output Feedback Stabilization for a Magnetizable Piezoelectric Beam Model, 2024 IEEE American Control Conference (ACC), Toronto, ON, Canada, 2024, pp. 3448-3453, doi: 10.23919/ACC60939.2024.1064448.
---------, 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.
N. Gerstenschlager, ---------, L. Zheng, (2022) Transforming in Calculus courses with cutting-edge Video Recording and Editing Technologies – A Case Study, 2021 ICTCM Proceedings.
--------, (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, 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.
-------, (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.
--------, (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, 2016 IEEE American Control Conference (ACC), Boston, MA, USA, 4580-4585.
K. Morris, --------, (2014) "Comparison of stabilization of current-actuated and voltage-actuated piezoelectric beams," 53rd IEEE Conference on Decision and Control, Los Angeles, CA, USA, 571-576.
K. Morris, --------, (2014) "Modeling and stabilization of current-actuated piezoelectric beams," The Proceedings 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," 2014 IEEE American Control Conference, Portland, OR, USA, 1045-1050.
K. Morris,--------, (2013) "Strong stabilization of piezoelectric beams with magnetic effects," 52nd IEEE Conference on Decision and Control, Firenze, Italy, 3014-3019.
S.W. Hansen, --------, (2010) "Exact boundary controllability of an abstract Mead-Marcus sandwich beam model", 49th IEEE Conference on Decision and Control (CDC), Atlanta, GA, USA, 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.
J. Walterman, A.K. Aydin, ---------, (2024) Rapid Stabilization of Heat and Structure Interactions with Boundary Feedback Controllers, Wolfram Demonstration Project, Published: November 11, 2024.
J. Walterman, A.K. Aydin, ---------, (2024) Stabilization of a Smart Beam with a Tip Mass, Wolfram Demonstration Project, Published: November 11, 2024.
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
A.K. Aydin, M. Poynter, ----------, (2023) Vibration Suppression on a Hinged Three-Layer Sandwich Beam, Wolfram Demonstrations Project, Published: January 2, 2023.
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.
A.K. Aydin, M. Poynter, L. Stewart, ----------, (2023) Feedback Sensor Design for a Cantilevered Three-Layer Sandwich Beam, Wolfram Demonstrations Project, Published: January 2, 2022.
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.
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.