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On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space
Abstract : Based on the notion of generalized homogeneity, a new algorithm of feedback control design is developed for a plant modeled by a linear evolution equation in a Hilbert space with a possibly unbounded operator. The designed control law steers any solution of the closed-loop system to zero in a finite time. Method of homogeneous extension is presented in order to make the developed control design principles to be applicable for evolution systems with non-homogeneous operators. The design scheme is demonstrated for heat equation with the control input distributed on the segment [0, 1].
Cited literature [37 references]
https://hal.inria.fr/hal-01695475
Contributor : Andrey Polyakov <>
Submitted on : Monday, January 29, 2018 - 1:48:50 PM
Last modification on : Monday, December 14, 2020 - 5:38:23 PM
Long-term archiving on: : Friday, May 25, 2018 - 8:24:02 AM
Contributor : Andrey Polyakov <>
Submitted on : Monday, January 29, 2018 - 1:48:50 PM
Last modification on : Monday, December 14, 2020 - 5:38:23 PM
Long-term archiving on: : Friday, May 25, 2018 - 8:24:02 AM
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