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作者机构:Matrosov Institute for System Dynamics and Control Theory ul. Lermontova 134 Irkutsk664033 Russia National Research Mordovian State University ul. Bol’shevistskaya 68 Saransk430005 Russia
出 版 物:《Journal of Applied and Industrial Mathematics》 (J. Appl. Ind. Math.)
年 卷 期:2018年第12卷第4期
页 面:668-677页
核心收录:
学科分类:0711[理学-系统科学] 07[理学] 0701[理学-数学] 070101[理学-基础数学]
摘 要:Under consideration is the problem of stability of switched discrete systems with the generalized homogeneous right-hand sides. The conditions are obtained for the existence of the common Lyapunov function, and a method for its construction is proposed in the form of a combination of the partial Lyapunov functions obtained for isolated subsystems. For a special case of linear three-dimensional systems, some algorithms are proposed for constructing common Lyapunov functions as quadratic and fourth degree forms. Some examples illustrate the effectiveness of the proposed approach. © 2018, Pleiades Publishing, Ltd.