期刊
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
卷 50, 期 2, 页码 211-222出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081079.2020.1870223
关键词
Linear time-varying system; perturbation; robust global asymptotic stability; logarithmic norm
资金
- project VEGA [1/0272/18]
- Research and Development Operational Program (ERDF) (European Regional Development Fund) [University Scientific Park: Campus MTF STU - CAMBO] [26220220179]
This paper establishes a new criterion for the robustness of global asymptotic stability of the zero solution of an LTV system in the presence of external perturbations. The use of logarithmic norm makes stability a topological notion dependent on the chosen vector norm in the state-space R-n.
In this paper, we establish a new criterion for robustness of global asymptotic stability of zero solution of LTV system (x) over dot = A(t) x in the presence of external perturbations (disturbances). To prove the result, logarithmic norm will be used under which the stability becomes a topological notion depending on the chosen vector norm in the state-space R-n.
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