0382169 20240103201403.820121031235959.9 000309129000003 84867000151 10.1080/00207721.2012.687787 15 s. cav_un_epca*02568210020-77214311 (2012)2015-2029Taylor & Francis Switched linear systems Lyapunov function particle swarm optimization cav_un_auth*0253278 Duarte-Mermoud M.A. CL cav_un_auth*0284618 Ordonez-Hurtado R.H. CL cav_un_auth*0101234 Zagalak Petr Adaptivní systémy Department of Adaptive Systems AS AS UTIA-B Department of Adaptive Systems Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2012/AS/zagalak-0382169.pdf GAP103/12/2431 GA ČR CZ cav_un_auth*0284932 The existence of a common quadratic Lyapunov function (CQLF) for a switched linear system guarantees its global asymptotic stability. Even if progress in finding the conditions for the existence/non-existence of a CQLF is significant, especially in switched linear systems consisting of N second-order systems or two systems of order n, the general case of N systems of order n still remains open. In this article, a sufficient condition for the non- existence of a CQLF for N systems of order n is derived. Based on the condition, a new method for determining the non-existence of a CQLF, using particle swarm optimisation, was designed and is described. Examples illustrating the proposed method are introduced at the end of this article. 2013 BC 3 4 A 4a 20231122135245.5 RVO:67985556 http://hdl.handle.net/11104/0212468 AUTOMATIONCONTROLSYSTEMS|COMPUTERSCIENCETHEORYMETHODS|OPERATIONSRESEARCHMANAGEMENTSCIENCE 1.504 0.246 6.5 0.00429 0.411 1996 195 0.840 Q1 28.145 65.633 Q3 Q2 2012 Soubory v repozitáři: zagalak-0382169.pdf 84867000151 SCOPUS 000309129000003 WOS cav_un_epca*0256821 International Journal of Systems Science 0020-7721 1464-5319 Roč. 43 č. 11 2012 2015 2029 Taylor & Francis