Controlling Delayed Dynamics: Advances in Theory, Methods and Applications
- Dimitri Breda (CDLab - Computational Dynamics Laboratory, University of Udine, Italy)
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.
- Tamás Insperger (Budapest University of Technology and Economics and MTA-BME Lendület Human Bal. Res. Group, Hungary)
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.
- Bernd Krauskopf (University of Auckland, New Zealand)
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.
- Wim Michiels (KU Leuven, Heverlee, Belgium)
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.
- Silviu Iulian Niculescu (CNRS-CentraleSupélec-University Paris-Sud, Gif sur Yvette, France)
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.
- Sjoerd Verduyn Lunel (Utrecht University, The Netherlands)
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.