{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,6,24]],"date-time":"2022-06-24T14:10:42Z","timestamp":1656079842906},"reference-count":13,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2021,8,13]],"date-time":"2021-08-13T00:00:00Z","timestamp":1628812800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,6,24]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Our paper deals with the stabilization of a class of time-dependent linear autonomous complex systems with a switched structure. The initially given switched dynamic system is assumed to be controlled by a specific state feedback strategy associated with the linear quadratic regulator (LQR) type control. The proposed control design guarantees stabilization of the closed-loop system for all of the possible location transitions. In the solution procedure of the Algebraic Riccati Equation related to the LQR control strategy, only the knowledge of the algebraic structure related to the switched system are needed. We prove that the proposed optimal LQR type state feedback control design stabilizes the closed-loop switched system for every possible active location. The theoretical approach proposed in this paper is finally applied to a model of the Single Wing Quadrotor Aircraft, when changing from its Quadrotor Flight Envelope to its Airplane Flight Envelope.<\/jats:p>","DOI":"10.1093\/imamci\/dnab022","type":"journal-article","created":{"date-parts":[[2021,7,7]],"date-time":"2021-07-07T11:20:41Z","timestamp":1625656841000},"page":"518-532","source":"Crossref","is-referenced-by-count":0,"title":["Stabilization of a class of switched dynamic systems: the Riccati-equation-based Approach"],"prefix":"10.1093","volume":"39","author":[{"given":"M","family":"Bonilla","sequence":"first","affiliation":[{"name":"CINVESTAV-IPN , Control Autom\u00e1tico, UMI 3175 CINVESTAV-CNRS, A.P. 14-740, M\u00e9xico 07000"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N A","family":"Aguill\u00f3n,","sequence":"additional","affiliation":[{"name":"CINVESTAV-IPN , CONACYT M\u00e9xico, A.P. 14-740, M\u00e9xico 07000"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M A","family":"Ortiz Castillo","sequence":"additional","affiliation":[{"name":"CINVESTAV-IPN , CONACYT M\u00e9xico, A.P. 14-740, M\u00e9xico 07000"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean","family":"Jacques Loiseau","sequence":"additional","affiliation":[{"name":"CNRS , LS2N (Laboratoire des Sciences du Num\u00e9rique de Nantes), UMR 6004, B.P. 92101, 44321 Nantes, Cedex 03, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M","family":"Malabre","sequence":"additional","affiliation":[{"name":"LS2N (Laboratoire des Sciences du Num\u00e9rique de Nantes) , UMR 6004, B.P. 92101, 44321 Nantes, Cedex 03"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V","family":"Azhmyakov","sequence":"additional","affiliation":[{"name":"Higher School of Economics , MIEM, School of Computer Engineering, and with the Institut f\u00fcr Theoretische Informatik, Mathematik und Operations Research, Universit\u00e4t der Bundeswehr M\u00fcnchen, Zwergerstra\u03b2e 33, 85579 Neubiberg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S","family":"Salazar","sequence":"additional","affiliation":[{"name":"CINVESTAV-IPN , Sistemas Aut\u00f3nomos de Navegaci\u00f3n A\u00e9rea Y Submarina, UMI 3175 CINVESTAV-CNRS. A.P. 14-740. M\u00e9xico 07000"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2021,8,13]]},"reference":[{"key":"2022062413513388100_ref1","volume-title":"A Relaxation Approach to Optimal Control of Hybrid and Switched Systems","author":"Azhmyakov","year":"2019"},{"key":"2022062413513388100_ref2","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.nahs.2014.04.002","article-title":"An implicit systems characterization of a class of impulsive linear switched control processes. Part 1: modeling","volume":"15","author":"Bonilla","year":"2015","journal-title":"Nonlinear Anal. Hybri. Sys."},{"key":"2022062413513388100_ref3","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.nahs.2015.03.005","article-title":"An implicit systems characterization of a class of impulsive linear switched control processes. Part 2: control","volume":"18","author":"Bonilla","year":"2015","journal-title":"Nonlinear Anal. Hybri. 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