Controlling Delayed Dynamics: Advances in Theory, Methods and Applications

Suggested readings

Breda D., Maset S. and Vermiglio R., Stability of linear delay differential equations – A numerical approach with MATLAB. SpringerBriefs in Control, Automation and Robotics, Springer, 2015.


Diekmann O., van Gils S., Verduyn Lunel S.M. and Walther H.-O., Delay Equations – Functional, Complex and Nonlinear Analysis, Springer-Verlag, 1995.


Insperger T. and Milton J., Sensory uncertainty and stick balancing at the fingertip, Biol. Cybern., 108(1), pp. 85-101, 2014.


Insperger T. and Stépán G., Semi-discretization for time-delay systems – Stability and Engineering applications, Springer, 2011.


Li X.-G., Niculescu S.-I. and Cela A., Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensurate Delays, SpringerBriefs in Control, Automation and Robotics, Springer, 2015.


Michiels W., Control of linear systems with delays, Encyclopedia of Systems and Control, Springer-Verlag, pp. 167-173, 2015.


Michiels W. and Niculescu S.-I., Stability, control, and computation for time-delay systems. An eigenvalue based approach, SIAM, 2014.


Sieber J., Kuznetsov Y. and Engelborghs K., DDE-BIFTOOL; http://sourceforge.net/projects/ddebiftool/


Sipahi R., Niculescu S.-I., Abdallah C., Michiels W. and Gu K., Stability and stabilization of systems with time delay, IEEE Control Syst. Mag., 31(1), 38-65, 2011.


Stépán G., Delay effects in the human sensory system during balancing, Philos. Trans. R. Soc. London, Ser. A, 367, pp. 1195-1212, 2009.


Stépán G., Retarded dynamical systems: stability and characteristic functions, Longman Scientific & Technical, 1989.


Stépán G., Milton J.G. and Insperger T., Quantization improves stabilization of dynamical systems with delayed feedback, Chaos: An Interdisciplinary Journal of Nonlinear Science, 27, 114306, 2017.


Szalai R. and Roose D., Continuation and bifurcation analysis of delay differential equations, in Krauskopf B., Osinga H.M. and Galan-Vioque J. (Eds.), Numerical Continuation Methods for Dynamical Systems: Path following and boundary value problems, Springer-Verlag, 2007, pp. 359-399.

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