2014 Madrid Conference on Applied Mathematics in honor of Alfonso Casal,
Electron. J. Diff. Eqns., Conference 22 (2015), pp. 111116.
Finitetime stabilization by using degenerate feedback delay
Jose M. Vegas
Abstract:
Some examples are studied in which a linear controllable dynamical system can
be steered towards a specific steady state by using some appropriate linear,
timevarying delayed feedback controller. The associated linear retarded
differential equation has a finitedimensional invariant subspace which
attracts all orbits in finite time, and this degeneracy property is the reason
why the target is attained in finite time rather than just asymptotically.
Published November 20, 2015.
Math Subject Classifications: 35R10, 35R35.
Key Words: Feedback delay control; stabilization; Pyragas control.
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José M. Vegas
Colegio Universitario de Estudios Financieros
28040 Madrid, Spain
email: jm.vegas@cunef.edu

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