Stabilization of persistently excited linear systems by delayed feedback laws |
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| Affiliation: | 1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;2. Centre for Modelling and Data Analysis, School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;3. Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK;4. Department of Applied Mathematics, Babe?-Bolyai University, R-3400 Cluj CP 253, Romania;1. College of Electronics and Information Engineering, Shunde Polytechnic, Foshan 528300, China;2. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;1. Department of Mathematics, Shimane University, Matsue 690-8504, Japan;2. Department of Applied Mathematics, Okayama University of Science, Okayama 700-0005, Japan;1. Department of Mathematics, University of Chester, Thornton Science Park, Pool Lane, Ince, Chester CH2 4NU, UK;2. Maxwell Institute for Mathematical Sciences & School of Mathematical and Computer Sciences, Heriot–Watt University, Riccarton, Edinburgh, EH14 4AS, UK;3. Department of Mathematics, University of Aegean, Gr-83200 Karlovassi, Samos, Greece |
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| Abstract: | This paper considers the stabilization to the origin of a persistently excited linear system by means of a linear state feedback, where we suppose that the feedback law is not applied instantaneously, but after a certain positive delay (not necessarily constant). The main result is that, under certain spectral hypotheses on the linear system, stabilization by means of a linear delayed feedback is indeed possible, generalizing a previous result already known for non-delayed feedback laws. |
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| Keywords: | Stabilization Switched systems Persistent excitation Delayed feedback |
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