2014 Madrid Conference on Applied Mathematics in honor of Alfonso Casal,
Electron. J. Diff. Eqns., Conference 22 (2015), pp. 111-116.

Finite-time stabilization by using degenerate feedback delay

Jose M. Vegas

Some examples are studied in which a linear controllable dynamical system can be steered towards a specific steady state by using some appropriate linear, time-varying delayed feedback controller. The associated linear retarded differential equation has a finite-dimensional 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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