@article {KUMAR2026108400,
	title = {Exponential synchronization of neutral-type neural networks with leakage and mixed delays on time scales},
	journal = {Journal of the Franklin Institute},
	volume = {363},
	number = {3},
	year = {2026},
	pages = {108400},
	abstract = {This paper explores the concept of exponential synchronization in neutral-type neural networks with mixed delays over arbitrary time domains. We employ a state feedback controller and formulate the problem using the time scales approach, allowing us to address hybrid time domains that include both continuous and discrete-time domains as a special case. Our approach relies on a combination of time scale calculus and the Banach fixed-point theorem, and leads to less restrictive assumptions compared to other techniques. Importantly, the synchronization criterion derived through this approach reduces to a simple, easy-to-verify linear scalar inequality. Furthermore, we present various special cases of the system under consideration and engage in a comprehensive discussion to highlight the advantages of our findings compared to existing results. We validate the effectiveness of our results through simulated numerical examples over different time domains, including an application to secure communication.},
	keywords = {Fixed point approach, Neural network, Secure communication, Synchronization, Time delays, Time scales},
	issn = {0016-0032},
	doi = {https://doi.org/10.1016/j.jfranklin.2025.108400},
	url = {https://www.sciencedirect.com/science/article/pii/S0016003225008920},
	author = {Vipin Kumar and Roberto Guglielmi}
}
@article {11045682,
	title = {Boundary Control for Stability and Invariance of Traffic Flow Dynamics: A Convex Optimization Approach},
	journal = {IEEE Control Systems Letters},
	year = {2025},
	pages = {1-6},
	keywords = {Convex functions, Distributed parameter systems, Entropy, Indexes, Numerical stability, optimal control, optimization, Ordinary differential equations, Stability criteria, Thermal stability, Traffic control, Training},
	doi = {10.1109/LCSYS.2025.3581868},
	author = {Chiri, Maria Teresa and Guglielmi, Roberto and Notomista, Gennaro}
}
@conference {11073209,
	title = {Decentralized Control of Robotic Swarm Density via PDE-Constrained Optimization},
	booktitle = {2025 33rd Mediterranean Conference on Control and Automation (MED)},
	year = {2025},
	pages = {375-380},
	keywords = {Centralized control, Computational modeling, Costs, Decentralized control, optimization, Partial differential equations, predictive control, Regulation, Robot sensing systems, Sensors},
	doi = {10.1109/MED64031.2025.11073209},
	author = {Wang, Ziyi and Guglielmi, Roberto and Notomista, Gennaro}
}
@article {https://doi.org/10.1049/cth2.70069,
	title = {A Semigroup Framework for Turnpike Property of Infinite-Dimensional Generalized Linear-Quadratic Problems},
	journal = {IET Control Theory \& Applications},
	volume = {19},
	number = {1},
	year = {2025},
	pages = {e70069},
	abstract = {ABSTRACT We deduce a sufficient condition for the exponential (integral) turnpike property for infinite-dimensional generalized linear-quadratic optimal control problems in terms of structural properties of the control system, such as exponential stabilizability and detectability. The proof relies on the analysis of the exponential convergence of solutions to the differential Riccati equations~to the algebraic counterpart, and on a necessary condition for exponential stabilizability in terms of a closed range test.},
	keywords = {asymptotic stability, control system analysis, Distributed parameter systems, linear quadratic control, optimal control, Riccati equations},
	doi = {https://doi.org/10.1049/cth2.70069},
	url = {https://ietresearch.onlinelibrary.wiley.com/doi/abs/10.1049/cth2.70069},
	author = {Li, Zhuqing and Guglielmi, Roberto}
}
@article {36826,
	title = {Synchronization of BAM neural networks with discrete delays: a time-scale approach},
	journal = {Physica Scripta},
	volume = {100},
	year = {2025},
	url = {https://iopscience.iop.org/article/10.1088/1402-4896/ae132c},
	author = {Vipin Kumar and Roberto Guglielmi and Ivanka Stamova}
}
@article {10992292,
	title = {Two-Stage Real-Time Carbon Emission Monitoring for Low-Carbon Power System Operation: A Graph Neural Network-Based Approach},
	journal = {Protection and Control of Modern Power Systems},
	volume = {10},
	number = {3},
	year = {2025},
	pages = {166-183},
	keywords = {Accuracy, Carbon Dioxide, Carbon emission flow (CEF), graph neural network, Graph neural networks, Load flow, low-carbon power system, Monitoring, Power demand, power systems, power transmission networks, Real-time systems, Topology, Training},
	doi = {10.23919/PCMP.2023.000172},
	author = {Zhu, Zixuan and Wang, Ruoheng and Bu, Siqi and Guglielmi, Roberto}
}
@article {36678,
	title = {Necessary conditions for turnpike property for generalized linear-quadratic problems},
	journal = {Math. Control Signals Syst.},
	volume = {36},
	year = {2024},
	pages = {799{\textendash}829},
	author = {R. Guglielmi and Z. Li}
}
@proceedings {Guglielmi2023,
	title = {Strict Dissipativity and Turnpike for LQ Optimal Control Problems with Possibly Boundary Reference},
	journal = {2024 American Control Conference (ACC), Toronto, ON, Canada, 2024},
	year = {2024},
	pages = {4579-4584},
	author = {Li, Z. and Guglielmi, R.}
}
@article {36752,
	title = {Turnpike in Nonlinear Optimal Control Problems With Indefinite Hamiltonian},
	journal = {IEEE Control Systems Letters},
	volume = {8},
	year = {2024},
	pages = {2691-2696},
	abstract = {We provide a sufficient condition to ensure turnpike for general nonlinear control systems. The main result of this letter exploits the connection between turnpike and the hyperbolicity of the corresponding optimality system and combines it with the theory of Algebraic Riccati Equations with indefinite source terms. We validate our sufficient condition with an example that does not satisfy previous sufficient conditions for turnpike.},
	author = {Yi Lu and Roberto Guglielmi}
}
@proceedings {36753,
	title = {Turnpike phenomena in linear-quadratic optimal control subject to delay equations},
	journal = {2024 IEEE 63rd Conference on Decision and Control (CDC)},
	year = {2024},
	pages = {6863-6868},
	address = {2024 IEEE 63rd Conference on Decision and Control (CDC), Milan, Italy, 2024},
	author = {Z. Li and R. Guglielmi}
}
@article {Guglielmi2023,
	title = {A preliminary model for optimal control of moisture content in unsaturated soils},
	journal = {Computational Geosciences},
	volume = {27},
	number = {6},
	year = {2023},
	pages = {1133-1144},
	author = {Berardi, M. and Difonzo, F.V. and Guglielmi, R.}
}
@proceedings {Guglielmi2023,
	title = {Strict Dissipativity for LQ Problem with Left-invertible Underlying Semigroups},
	journal = {IFAC World Congress 2023},
	volume = {56},
	number = {2},
	year = {2023},
	pages = {8946-8951},
	address = {22nd IFAC World Congress: Yokohama, Japan, July 9-14, 2023},
	author = {Guglielmi, R. and Li, Z.}
}
@article {Guglielmi2022,
	title = {Estimate of the rate of unreported COVID-19 cases during the first outbreak in Rio de Janeiro},
	journal = {Infectious Disease Modelling},
	volume = {7},
	number = {3},
	year = {2022},
	pages = {317-332},
	author = {Aronna, M.S. and Guglielmi, R. and Moschen, L.M.}
}
@article {Aronna_2021,
	title = {A model for COVID-19 with isolation, quarantine and testing as control measures},
	journal = {Epidemics},
	volume = {34},
	year = {2021},
	month = {mar},
	pages = {100437},
	publisher = {Elsevier BV},
	doi = {10.1016/j.epidem.2021.100437},
	author = {M.S. Aronna and R. Guglielmi and L.M. Moschen}
}
@article {Guglielmi2021,
	title = {On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems},
	journal = {Mathematical Control and Related Fields},
	volume = {11},
	number = {1},
	year = {2021},
	pages = {169-188},
	author = {Gr{\"u}ne, L. and Guglielmi, R.}
}
@article {Guglielmi_2018,
	title = {Sensitivity analysis of the value function for infinite dimensional optimal control problems and its relation to Riccati equations},
	journal = {Optimization},
	year = {2018},
	month = {jun},
	pages = {1{\textendash}25},
	publisher = {Informa UK Limited},
	doi = {10.1080/02331934.2018.1476514},
	author = {Roberto Guglielmi and Karl Kunisch}
}
@article {Guglielmi2018,
	title = {Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems},
	journal = {SIAM Journal on Control and Optimization},
	volume = {56},
	number = {2},
	year = {2018},
	pages = {1282-1302},
	author = {Gr{\"u}ne, L. and Guglielmi, R.}
}
@inbook {Guglielmi2017,
	title = {Hamilton-Jacobi-Bellman equations},
	booktitle = {Lecture Notes in Mathematics},
	volume = {2180},
	year = {2017},
	pages = {127-261},
	author = {Festa, A. and Guglielmi, R. and Hermosilla, C. and Picarelli, A. and Sahu, S. and Sassi, A. and Silva, F.J.}
}
@article {Guglielmi2017,
	title = {Indirect stabilization of hyperbolic systems through resolvent estimates},
	journal = {Evolution Equations and Control Theory},
	volume = {6},
	number = {1},
	year = {2017},
	pages = {59-75},
	author = {Guglielmi, R.}
}
@article {Guglielmi2017,
	title = {Optimal Control of the Fokker-Planck Equation with Space-Dependent Controls},
	journal = {Journal of Optimization Theory and Applications},
	volume = {174},
	number = {2},
	year = {2017},
	pages = {408-427},
	author = {Fleig, A. and Guglielmi, R.}
}
@proceedings {Guglielmi2016,
	title = {Bilinear Optimal Control of the Fokker-Planck Equation},
	journal = {2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations CPDE 2016},
	volume = {49},
	number = {8},
	year = {2016},
	pages = {254-259},
	publisher = {IFAC},
	address = {2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations CPDE 2016: Bertinoro, Italy, 13{\textemdash}15 June 2016},
	author = {Fleig, A. and Guglielmi, R.}
}
@article {Guglielmi2014,
	title = {Null controllability in large time for the parabolic Grushin operator with singular potential},
	journal = {Springer INdAM Series},
	volume = {5},
	year = {2014},
	pages = {87-102},
	author = {Cannarsa, P. and Guglielmi, R.}
}
@article {Guglielmi2014,
	title = {Null controllability of Grushin-type operators in dimension two},
	journal = {Journal of the European Mathematical Society},
	volume = {16},
	number = {1},
	year = {2014},
	pages = {67-101},
	author = {Beauchard, K. and Cannarsa, P. and Guglielmi, R.}
}
@proceedings {36755,
	title = {Some results on Model Predictive Control for the Fokker-Planck equation},
	journal = {MTNS 2014},
	year = {2014},
	pages = {1203-1206},
	address = {MTNS 2014, Groningen, Netherlands},
	author = {Arthur Fleig and Lars Gr{\"u}ne and Roberto Guglielmi}
}
@article {36754,
	title = {Stabilization and control of partial differential equations of evolution},
	journal = {Rendiconti di Matematica e delle sue Applicazioni},
	volume = {33},
	year = {2013},
	pages = {83-222},
	author = {Roberto Guglielmi}
}
@article {Guglielmi2011,
	title = {Indirect stabilization of weakly coupled systems with hybrid boundary conditions},
	journal = {Mathematical Control and Related Fields},
	volume = {1},
	number = {4},
	year = {2011},
	pages = {413-436},
	author = {Alabau-Boussouira, F. and Cannarsa, P. and Guglielmi, R.}
}
