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On input-to-state stabilizability of semilinear control systems

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005447
URN to cite this document: urn:nbn:de:bvb:703-epub-5447-9

Title data

Grüne, Lars:
On input-to-state stabilizability of semilinear control systems.
Bayreuth , 1998

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Abstract

In this paper we investigate the robustness of state feedback stabilized semilinear control systems subject to inhomogeneous perturbations in terms of input-to-state stability. In particular we are interested in the robustness of an optimal control based exponentially stabilizing discontinuous sampled discrete feedback, which is known to exist whenever the system under consideration is asymptotically null controllable. For this purpose we introduce a robustness condition that will turn out to be equivalent to a suitable input-to-state stability formulation. Validating this condition for the optimal control based feedback using a suitable Lyapunov function we obtain an equivalence between (open loop) asymptotic null controllability and robust input-to-state (state feedback) stabilizability.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Beghi, Alessandro (Hrsg.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo , 1998 . - S. 181-184
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5447-9
Date Deposited: 06 May 2021 07:40
Last Modified: 06 May 2021 07:41
URI: https://epub.uni-bayreuth.de/id/eprint/5447

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