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.
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5 lectures on: Aim, scope and structure of the course; pseudospectral discretization methods for the stability analysis of time delay systems; numerical approximation of characteristic roots, multipliers and exponents; convergence analysis and implementation issues; applications to structured populations and consumer-resource dynamics.
6 lectures on: Regenerative delays in machine tool vibrations; unpredictable dynamics in engineering applications and human balancing models; stabilization in the presence of feedback delay and sensory uncertainties; time-periodic (clock-driven), nonlinear (event-driven), predictors feedback or fractional-order controllers.
6 lectures on: Introduction to numerical bifurcation analysis; numerical continuation and tracking of steady-states and periodic solutions; recent advances for continuation and bifurcation of delay differential equations; applications to Pyragas control, laser systems and climate modeling.
6 lectures on: Control design problem for time-delay plants; delays as control parameters; spectrum based techniques and time-domain methods; direct optimization approach for designing structured controllers; applications to engineering case studies; model reduction problem.
6 lectures on: Location of rightmost roots and poles assignment; imaginary crossing of spectral values; multiplicity of crossing roots; Weierstrass-based algorithms and frequency-sweeping tests; classification of singularities; applications to networked control systems, biochemical networks and vibration control.
6 lectures on: Delay equations as dynamical systems on a state-space of functions; continuous functions and strongly continuous semigroups; Borel functions and Stieltjes-Pettis integral; norming dual pair of spaces and twin semigroups; variation-of-constants formula and linearized stability; characteristic equations and Laplace transforms for asymptotic analysis.
The registration fee is 600.00 Euro + VAT*, where applicable (bank charges are not included). The registration fee includes a complimentary bag, four fixed menu buffet lunches (on Friday upon request), hot beverages, downloadable lecture notes and wi-fi internet access.
Applicants must apply at least one month before the beginning of the course. Application forms should be sent on-line through the following web site: http://www.cism.it. A message of confirmation will be sent to accepted participants. Applicants requiring assistance with the registration should contact the secretariat at the following email address cism@cism.it.
Applicants may cancel their course registration and receive a full refund by notifying CISM Secretariat in writing (by email to cism@cism.it) no later than two weeks prior to the start of the course.
Cancellation requests received during the two weeks prior to the start of the course will be charged a 50.00 Euro handling fee. Incorrect payments are also subject to a 50.00 Euro handling fee.
A limited number of participants from universities and research centres who are not supported by their own institutions can be offered lodging and/or board, if available, in a reasonably priced hotel or student guest house.
Requests should be sent to CISM Secretariat by September 25, 2019 along with the applicant's curriculum and a letter of recommendation by the head of the department or a supervisor confirming that the institute cannot provide funding. Preference will be given to applicants from countries that sponsor CISM.
Information about travel and accommodation is available on the web site www.cism.it, or can be mailed upon request.
* Italian VAT is 22%.
