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International Journal of Control Volume 89, 2016 - Issue 4
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Original Articles

Optimal control of stochastic FitzHugh–Nagumo equation

Viorel BarbuA.I. Cuza University, Iasi, Romania
,
Francesco CordoniDepartment of Mathematics, University of Trento, Trento, Italy
&
Luca Di PersioDepartment of Computer Science, University of Verona, Verona, ItalyCorrespondence[email protected]
Pages 746-756 | Received 18 Apr 2015, Accepted 13 Sep 2015, Published online: 04 Nov 2015

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Xuyang Lou & Qian Ye. (2018) Approximate optimal iterative approach for a class of oscillatory neuron models. Systems Science & Control Engineering 6:1, pages 518-527.
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Chiara Benazzoli & Luca Di Persio. (2017) Optimal execution strategy in liquidity framework. Cogent Economics & Finance 5:1.
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Lichao Feng, Lei Liu, Jinde Cao & Fawaz E. Alsaadi. (2023) General stabilization of non-autonomous hybrid systems with delays and random noises via delayed feedback control. Communications in Nonlinear Science and Numerical Simulation 117, pages 106939.
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N. Durga & Muslim Malik. (2023) Non‐instantaneous impulsive stochastic FitzHugh–Nagumo equation with fractional Brownian motion. Mathematical Methods in the Applied Sciences.
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Francesco Cordoni, Luca Di Persio & Riccardo Muradore. (2022) Stochastic Port-Hamiltonian Systems. Journal of Nonlinear Science 32:6.
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Clovis Ntahkie Takembo & Timoleon Crepin Kofane. (2022) Controlling discharge mode in electrical activities of myocardial cell using mixed frequencies magnetic radiation. Heliyon 8:3, pages e09084.
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K. D. Do. (2021) Global inverse optimal exponential path-tracking control of mobile robots driven by Lévy processes. Robotica 39:12, pages 2306-2332.
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Antoine Hocquet & Alexander Vogler. (2021) Optimal Control of Mean Field Equations with Monotone Coefficients and Applications in Neuroscience. Applied Mathematics & Optimization 84:S2, pages 1925-1968.
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Martin Gugat, Mariano Mateos & Fredi Tröltzsch. (2020) Exponential Stability for the Schlögl System by Pyragas Feedback. Vietnam Journal of Mathematics 48:4, pages 769-790.
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K.D. Do. (2020) Inverse optimal formation control of mobile agents with collision avoidance driven by Lévy processes. IFAC Journal of Systems and Control 13, pages 100097.
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Xiaoyue Li & Xuerong Mao. (2020) Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. Automatica 112, pages 108657.
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Francesco Cordoni & Luca Di Persio. (2020) A maximum principle for a stochastic control problem with multiple random terminal times. Mathematics in Engineering 2:3, pages 557-583.
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Xiu‐Mei Zhang & Huai‐Ning Wu. (2019) H ∞ boundary control for a class of nonlinear stochastic parabolic distributed parameter systems . International Journal of Robust and Nonlinear Control 29:14, pages 4665-4680.
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K.D. Do. (2019) Inverse optimal control of stochastic systems driven by Lévy processes. Automatica 107, pages 539-550.
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K.D. Do. (2019) Stochastic control of drill-heads driven by Lévy processes. Automatica 103, pages 36-45.
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Ying Jiao, Chunhua Ma, Simone Scotti & Carlo Sgarra. (2019) A branching process approach to power markets. Energy Economics 79, pages 144-156.
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Anirban Nandi, Heinz Schättler & ShiNung Ching. (2019) Optimal Control for Fast, Accurate Threshold-Hitting. SIAM Journal on Control and Optimization 57:4, pages 2269-2291.
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Tijana Levajković, Stevan Pilipović, Dora Seleši & Milica Žigić. (2018) Stochastic evolution equations with Wick-polynomial nonlinearities. Electronic Journal of Probability 23:none.
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Luca Di Persio, Alessandro Cecchin & Francesco Cordoni. (2017) Novel approaches to the energy load unbalance forecasting in the Italian electricity market. Journal of Mathematics in Industry 7:1.
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Francesco Cordoni & Luca Di Persio. (2017) Stochastic reaction-diffusion equations on networks with dynamic time-delayed boundary conditions. Journal of Mathematical Analysis and Applications 451:1, pages 583-603.
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Viktor Bezborodov & Luca Di Persio. (2017) Maximal irreducibility measure for spatial birth-and-death processes. Statistics & Probability Letters 125, pages 25-32.
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Francesco Cordoni & Luca Di Persio. (2017) Gaussian estimates on networks with dynamic stochastic boundary conditions. Infinite Dimensional Analysis, Quantum Probability and Related Topics 20:01, pages 1750001.
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Francesco Cordoni & Luca Di Persio. (2016) A BSDE with Delayed Generator Approach to Pricing under Counterparty Risk and Collateralization. International Journal of Stochastic Analysis 2016, pages 1-11.
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