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Optimal control on hybrid ODE Systems with application to a tick disease model
1.  Department of Mathematics, University of Tennessee, 1403 Circle Drive, Knoxville, TN 379961300, United States 
[1] 
Ping Lin, Weihan Wang. Optimal control problems for some ordinary differential equations with behavior of blowup or quenching. Mathematical Control & Related Fields, 2018, 8 (3&4) : 809828. doi: 10.3934/mcrf.2018036 
[2] 
Lukáš Adam, Jiří Outrata. On optimal control of a sweeping process coupled with an ordinary differential equation. Discrete & Continuous Dynamical Systems  B, 2014, 19 (9) : 27092738. doi: 10.3934/dcdsb.2014.19.2709 
[3] 
Hongwei Lou, Weihan Wang. Optimal blowup/quenching time for controlled autonomous ordinary differential equations. Mathematical Control & Related Fields, 2015, 5 (3) : 517527. doi: 10.3934/mcrf.2015.5.517 
[4] 
Zhenyu Lu, Junhao Hu, Xuerong Mao. Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations. Discrete & Continuous Dynamical Systems  B, 2019, 24 (8) : 40994116. doi: 10.3934/dcdsb.2019052 
[5] 
Wei Mao, Yanan Jiang, Liangjian Hu, Xuerong Mao. Stabilization by intermittent control for hybrid stochastic differential delay equations. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021055 
[6] 
Sébastien Court, Karl Kunisch, Laurent Pfeiffer. Hybrid optimal control problems for a class of semilinear parabolic equations. Discrete & Continuous Dynamical Systems  S, 2018, 11 (6) : 10311060. doi: 10.3934/dcdss.2018060 
[7] 
JanHendrik Webert, Philip E. Gill, SvenJoachim Kimmerle, Matthias Gerdts. A study of structureexploiting SQP algorithms for an optimal control problem with coupled hyperbolic and ordinary differential equation constraints. Discrete & Continuous Dynamical Systems  S, 2018, 11 (6) : 12591282. doi: 10.3934/dcdss.2018071 
[8] 
Yuriy Golovaty, Anna MarciniakCzochra, Mariya Ptashnyk. Stability of nonconstant stationary solutions in a reactiondiffusion equation coupled to the system of ordinary differential equations. Communications on Pure & Applied Analysis, 2012, 11 (1) : 229241. doi: 10.3934/cpaa.2012.11.229 
[9] 
Nguyen Thi Hoai. Asymptotic approximation to a solution of a singularly perturbed linearquadratic optimal control problem with secondorder linear ordinary differential equation of state variable. Numerical Algebra, Control & Optimization, 2020 doi: 10.3934/naco.2020040 
[10] 
Bernard Dacorogna, Alessandro Ferriero. Regularity and selecting principles for implicit ordinary differential equations. Discrete & Continuous Dynamical Systems  B, 2009, 11 (1) : 87101. doi: 10.3934/dcdsb.2009.11.87 
[11] 
Zvi Artstein. Averaging of ordinary differential equations with slowly varying averages. Discrete & Continuous Dynamical Systems  B, 2010, 14 (2) : 353365. doi: 10.3934/dcdsb.2010.14.353 
[12] 
Hai Huang, Xianlong Fu. Optimal control problems for a neutral integrodifferential system with infinite delay. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020107 
[13] 
Tomasz Kapela, Piotr Zgliczyński. A Lohnertype algorithm for control systems and ordinary differential inclusions. Discrete & Continuous Dynamical Systems  B, 2009, 11 (2) : 365385. doi: 10.3934/dcdsb.2009.11.365 
[14] 
Holly Gaff. Preliminary analysis of an agentbased model for a tickborne disease. Mathematical Biosciences & Engineering, 2011, 8 (2) : 463473. doi: 10.3934/mbe.2011.8.463 
[15] 
Shangbing Ai. Global stability of equilibria in a tickborne disease model. Mathematical Biosciences & Engineering, 2007, 4 (4) : 567572. doi: 10.3934/mbe.2007.4.567 
[16] 
Yuyun Zhao, Yi Zhang, Tao Xu, Ling Bai, Qian Zhang. pth moment exponential stability of hybrid stochastic functional differential equations by feedback control based on discretetime state observations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (1) : 209226. doi: 10.3934/dcdsb.2017011 
[17] 
Djamila Moulay, M. A. AzizAlaoui, HeeDae Kwon. Optimal control of chikungunya disease: Larvae reduction, treatment and prevention. Mathematical Biosciences & Engineering, 2012, 9 (2) : 369392. doi: 10.3934/mbe.2012.9.369 
[18] 
Yves Achdou, Mathieu Laurière. On the system of partial differential equations arising in mean field type control. Discrete & Continuous Dynamical Systems, 2015, 35 (9) : 38793900. doi: 10.3934/dcds.2015.35.3879 
[19] 
David Cheban, Zhenxin Liu. Averaging principle on infinite intervals for stochastic ordinary differential equations. Electronic Research Archive, , () : . doi: 10.3934/era.2021014 
[20] 
Stefano Maset. Conditioning and relative error propagation in linear autonomous ordinary differential equations. Discrete & Continuous Dynamical Systems  B, 2018, 23 (7) : 28792909. doi: 10.3934/dcdsb.2018165 
2018 Impact Factor: 1.313
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