NUMERICAL SOLUTION TO OPTIMAL CONTROL PROBLEMS USING COLLOCATION METHOD VIA PONTRYAGIN’S PRINCIPLE
DOI:
https://doi.org/10.33003/fjs-2023-0705-2016Keywords:
Block method,, Optimal control problem, Pontryagin's principleAbstract
In this study, Lucas polynomial approximate solution is considered to develop a collocation technique for solving optimal control problems with implementation in block using forward backward sweep method. The collocation block method developed is stable and convergent. The method is implemented using MATLAB code, and the examples show that forward-backward sweep methods with the collocation method is an efficient technique for solving optimal control problems as compared with some existing methods.
References
Agyefi-Mensah, S. (2012). Towards sustainable infrastructure development in Africa: design principles and strategies for lifespan-based building performance. Kumasi, 11Proceedings of the 1st International Conference on Infrastructure Development in Africa (ICIDA, 2012).
Asoka GW. N., Thuo, A D.M. & Bunyasi, M. M. (2013). Effects of Population Growth on Urban Infrastructure and Services: A Case of Eastleigh Neighborhood Nairobi, Kenya. Journal of Anthropology & Archaeology, 1(1), 41-56.
Banerjee, A., Duflo, E., & Qian, N. (2020). On the road: Access to transportation infrastructure, and economic growth in China. Journal of development economics, 145, 102442.
Braun, V. & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2), 77-101.
Botric, V., Sisinacki, J. and Skuflic, L. (2006). Road Infrastructure and Regional Development: Some Evidence from Croatia. 46th Congress of the European Regional Science AssociationVolos, Greece, August 30th - September 3rd, 2006.
Fay, M., Toman, M., Benitez, D. & Csordas, S., (2011). Infrastructure and Sustainable Development. In S. Fardoust, Y. Kim & C. Sepúlveda, eds. POSTCRISIS GROWTH ANDDEVELOPMENT; A Development Agenda for the G-20. Washington DC: The World Bank.pp.329-82.
Fedderke, J. W., Perkins, P., & Luiz, J. M. (2006). Infrastructural investment in long-run economic growth:South Africa 1875–2001. World development, 34(6), 1037-1059.
Glen, S. (2015). Purposive sampling. Statistics Howto.com: Elementary statistics for the rest of us. Retrieved 11th May, 2015 from https://www.statisticshowto.com/contact/
http//www.statista.com, 2021.
http//www.statista.com, 2023.
Ibrahim, A., Ismail, A., Iyadunni, N.O., Lawal, B.R., Adeola, A.M. & Tsoho, U. (2018). Consumption patterns of public water supply using linear programing technique. Leonardo Electronic Journal of Practices and Technologies 33, 257-276.
Kaduna State IGR Performance Report for January, 2021, Kaduna State 2021 Budget.
Klein, G. (2013). The Cartoon Introduction to Statistics. Springer.
Kodongo, O., & Ojah, K. (2016). Does infrastructure really explain economic growth in Sub-Saharan Africa Review of Development Finance, 6(2), 105-125.
Kremer, M. (1993). The O-ring theory of economic development. The quarterly journal of economics, 108(3), 551-575.
Malthus, T. (1798). Malthus. Lebhafte Debatten, die uns höchlichst angezo.
Miller, J.D., (2013). Infrastructure 2013: Global Priorities, Global Insights. Washington: Urban Land Institute.
Moeketsi, A. K. W. (2017). The relationship between road infrastructure investment and economic growth in South Africa North-West University, Mafikeng Campus,South Africa.
Myres, D., 2013. Construction Economics: a new approach. 3rd ed. London, Newyork:Routledge.
Ng, C., Law, T., Jakarni, F., & Kulanthayan, S. (2019). Road infrastructure development and economic growth. IOP Conference Series: Materials Science and Engineering.
Padjen, J. (1996). "Prometna politika". Zagreb: Informator i Ekonomski institut, Zagreb.
Saidi, S., Shahbaz, M., & Akhtar, P. (2018). The long-run relationships between transport energy consumption,transport infrastructure, and economic growth in MENA countries. Transportation Research Part A: Policy and Practice, 111, 78-95.
Saleh, Y., Badir, A.M.,Banna, F.E. & Shahata, A. (2014). Agricultural Land-use Change and Disappearance of Fsrmlands in Kaduna Metropolis, Nigeria. Science World Journal 9(1), Accessible at www.scienceworldjournal.org.
Sarte, S.B., 2010. Sustainable Infrastructure: The Guide to Green Engineering and Design. New Jersey: John Wiley & Sons, Inc.
Sati, M.A. & Muhammed, R. (2020). Study Area. The Nigerian Geographical Journal. 14(1), 31-42.
Shehu, S. (2011). The Growth and Development of Kaduna Kaduna Metropolis, 1913-2000. In Ashafa, A.M. (ed)Urbanization and Infrastructure in Nigeria since the 20th Century, Kaduna State University, Kaduna, Nigeria, 277-298.
Solow, R. M. (1956). A contribution to the theory of economic growth. The quarterly journal of economics, 70(1), 65-94.
Suleiman, U.B. ,Abdulhamed, A. I., Musa, I. J. & Yelwa, S. A. (2019). Decadal Analysis and Estimation of Temperature Changes in Northern Kaduna Senatorial Zone of Kaduna State-Nigeria. Fudma Journal of Science (FJS) 3(3), 509-518.
Tatyana, P. (2015). Assessing the Impact of Infrastructure on Economic Growth and Global Competitiveness. 2nd Global Conference on Business, Economics, Management and Tourism, Prague, Czech Republic. 30th-31st October, 2014.
UN-Habitat (2009), The State of the Word’s Cities, UN-Habitat, Nairobi. United Nations Department of Economic and Social Affairs. Sustainable Development Goals. Retrieved from www.sdgs.un.org.
US Department of Health and Human Services (2018). Data Collection Methods for Program Evaluation: Observation.
Ward, M. R., & Zheng, S. (2016). Mobile telecommunications service and economic growth: Evidence from China. Telecommunications Policy, 40(2-3), 89-101.
Published
How to Cite
Issue
Section
FUDMA Journal of Sciences
