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Corrigendum to “The Minkowski-Lyapunov equation for linear dynamics: theoretical foundations” [automatica, 50(8)(2014) 2015-2024]. (English) Zbl 1429.93271

Summary: Theorem 1 of the authors [ibid. 50, No. 8, 2015–2024 (2014; Zbl 1297.93124)] accidentally misquotes Theorem 1.7.1 of R. Schneider [Convex bodies: the Brunn-Minkowski theory. Cambridge: Cambridge University Press (1993; Zbl 0798.52001)]. This corrigendum rectifies this misquotation, and it points out that the results developed in [the authors, loc. cit.] are not affected by this misquotation. Since Theorem 1.7.1 of Schneider [loc. cit.] is utilized in two places in [the authors, loc. cit.], the corrigendum also clarifies its utilization so as to avoid any ambiguity.

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93D30 Lyapunov and storage functions
93C05 Linear systems in control theory
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References:

[1] Raković, S. V.; Lazar, M., The Minkowski-Lyapunov equation for linear dynamics: Theoretical foundations, Automatica, 50, 8, 2015-2024 (2014) · Zbl 1297.93124
[2] Schneider, R., (Convex bodies: The Brunn-Minkowski theory. Convex bodies: The Brunn-Minkowski theory, Encyclopedia of mathematics and its applications, Vol. 44 (1993), Cambridge University Press: Cambridge University Press Cambridge, England) · Zbl 0798.52001
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