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A Lyapunov function is constructed by means of which global asymptotic stability of the closed-loop system is proved for any positive feedback coefficients.<\/jats:p>","DOI":"10.31857\/s0005117924040034","type":"journal-article","created":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T09:22:35Z","timestamp":1718788955000},"page":"391-395","source":"Crossref","is-referenced-by-count":0,"title":["Global Stabilization of a Chain of Two Integrators by a Feedback in the Form of Nested Saturators"],"prefix":"10.31857","volume":"85","author":[{"name":"Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. V.","family":"Pesterev","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu. V.","family":"Morozov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"17106","reference":[{"key":"ref0","doi-asserted-by":"publisher","unstructured":"1. Pesterev, A.V., Global Stability of a Second-Order Affine Switching System, Autom. Remote Control, 2023, vol. 84, no. 9, pp. 1085-1093.","DOI":"10.1134\/S0005117923090060"},{"key":"ref1","doi-asserted-by":"publisher","unstructured":"2. Hua, M.-D. and Samson, C., Time Sub-optimal Nonlinear pi and pid Controllers Applied to Longitudinal Headway Car Control, Int. J. Control, 2011, vol. 84, pp. 1717-1728.","DOI":"10.1080\/00207179.2011.623721"},{"key":"ref2","doi-asserted-by":"publisher","unstructured":"3. 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A., Vvedeniye v teoriyu ustoychivosti (Introduction to Stability Theory), Moscow: Nauka, 1967."}],"container-title":["Automation and Remote Control"],"original-title":[],"deposited":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T09:36:14Z","timestamp":1718789774000},"score":1,"resource":{"primary":{"URL":"http:\/\/ait.mtas.ru\/en\/archive\/volume85issue4\/ARC04-2024%20003Pesterev.pdf"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4]]},"references-count":9,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2024,4]]}},"URL":"https:\/\/doi.org\/10.31857\/s0005117924040034","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"type":"print","value":"0005-1179"},{"type":"electronic","value":"1608-3032"}],"subject":[],"published":{"date-parts":[[2024,4]]}}}