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  • 标题:Analysis of Singular Perturbations for a Class of Interconnected Homogeneous Systems: Input-to-State Stability Approach ⁎
  • 本地全文:下载
  • 作者:Jesús Mendoza-Avila ; Denis Efimov ; Jaime A. Moreno
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2020
  • 卷号:53
  • 期号:2
  • 页码:6416-6421
  • DOI:10.1016/j.ifacol.2020.12.1781
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard assumptions, the conditions of local or practical asymptotic stability of the interconnection are established by means of ISS properties and the Small-Gain Theorem. Moreover, the domains of stability and attractions are estimated. Finally, the results are illustrated through an example with a homogeneous system of negative degree.
  • 关键词:KeywordsStability of Nonlinear SystemsSingular PerturbationsInput-to-State StabilityHomogeneityLyapunov Methods
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