Sensitivity of transport object control quality for measuring the inaccuracy of state variables




marine navigation, safety at sea, safe ship control, game control, computer simulation


This work analyzes the sensitivity functions and optimum control of a transport and logistics process model. It explains the fundamental model of controlling safe ship movement as a differential game, and optimizing  control algorithms through multi-matrix game and multi-stage positioning game. The sensitivity features  for controlling  safe ship  in actual  collision scenario  are described in relation to  inaccurate information of process position and variations  in its varables, based on the determination of  computer simulation algorithms in Matlab/Simulink software.


Ahsani V., Ahmed F, Jun M.B.G., Bradley C. “Tapered fiber-optic Mach-Zehnder interferometer for ultr-high sensitivity measurement of refractive index”. Sensors, Vol 19, Issue 7, pp 1-10, doi: 10.3390/s19071652

Cao J., Sun Y., Kong Y., Qian W. (2019) “The sensitivity of grating based SPR sensors with wavelength interrogation”. Sensors, Vol 19, Issue 2, pp 1-9, doi: 10.3390/s19020405

Cruz, J. (1972) Feedback Systems, Mc Graw-Hill Book Company, New York, ISBN 0-691-135-76-2

Engwerda J. (2018) “Stabilization of an uncertain simple fishery management game”. Fishery Research, Vol 203, pp 63–73,

Engwerda J.C. (2005) LQ Dynamic Optimization and Differential Games, John Wiley & Sons, New Jork, ISBN 978-0-470-01524-7

Eslami M. (1994) Theory of Sensitivity in Dynamic Systems. Springer-Verlag, Berlin,

Gromova E.V., Petrosyan L.A. (2017) “On an approach to constructing a characteristic function in cooperative differential games”. Project: Cooperative differential games with applications to ecological management. Automation and Remote Control, Vol 78, pp 1680–1692.

Gronbaek L., Lindroos M., Munro G., Pintassilgo P. Cooperative Games in Fisheries with More than Two Players. In Game Theory and Fisheries Management, Springer, Cham, Switzerland, pp 81–105, ISBN 978-3-030-40112-2

Huang Y., Zhang, T., Zhu Q. (2022) “The inverse problem of linear-quadratic differential games: When is a control strategies profile Nash?. arXiv,

Isaacs R.(1965) Differential Games, John Wiley & Sons, New York, ISBN 0-48640-682-2

Kowal D., Statkiewicz-Barabach, G., Bernas M., Napiorkowski M., Makara M., Czyzewska L., Mergo P., Urbanczyk W. “Polarimetric sensitivity to torsion in spun highly birefringent fibers”. Sensors, Vol 19, Issue 7, pp 1-15, doi: 10.3390/s19071639

Lisowski J. (2019) “Sensitivity of Safe Trajectory in a Game Environment to Determine Inaccuracy of Radar Data in Autonomous Navigation”. Sensors, Vol 19, Issue 8, pp 1-11, doi: 10.3390/s19081816

Mu C., Wang K., Ni Z., Sun C. (2020) “Cooperative differential game-based optimal control and its application to power systems”. IEEE Transactions on Industrial Informatics, Vol 16, Issue 8, pp 5169–5179,

Nisan N., Roughgarden T., Tardos E., Vazirani V.V. (2007) Algorithmic game theory, Cambridge University Press, New York, ISBN 978-0-521-87282-9

Nise N.S. (2019) Control Systems Engineering. 8th Edition, 2019, California State Polytecnic University, John Wiley & Sons Inc., USA, ISBN: 978-1-119-47422-7

Osborne M.J. (2003) An introduction to game theory, Oxford University Press, New York, ISBN 978-0-19-512895-6

Rosenwasser E., Yusupov R. (2019) Sensitivity of Automatic Control Systems. CRC Press, Boca Raton,

Seok G., Kim Y. (2019) “Front-inner lens for high sensitivity of CMOS image sensors”. Sensors, Vol 19, Issue 7, pp 1-9, doi:10.3390/s19071536

Singh S.K., Reddy, P.V. (2021) “Dynamic network analysis of a target defense differential game with limited observations”, arXiv ,

Wierzbicki A. (1977) Models and sensitivity of control systems (in Polish), WNT Warsaw, ISBN 0-444-996-20-6