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Observer aided robust control for cyber physical power grids with event triggered sliding mode controller. [PDF]

Sci Rep
Mohanty A, Ramasamy A, Satpathy A, Mohanty S, Rajamony RK, Bhutto JK, Hakami H, Mohanty P, Megalingam A, Allasi HL.   +9 more
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Functions of Bounded Variation

Basic Analysis IV: Measure Theory and Integration, 2020
∫ b a f(x) dα(x) exists when f is continuous and α is monotonic. Our linearity theorem then guarantees that the integral ∫ b a f(x) dα(x) exists when f is continuous and α is the difference of two monotonic functions.
J. K. Peterson
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Functions of Bounded Variation

Graduate Texts in Mathematics, 1989
A function of bounded variation of one variable can be characterized as an integrable function whose derivative in the sense of distributions is a signed measure with finite total variation. This chapter is directed to the multivariate analog of these functions, namely the class of L1functions whose partial derivatives are measures in the sense of ...
William P Ziemer, Ziemer William P
exaly   +2 more sources

Integrability spaces for the Fourier transform of a function of bounded variation

Journal of Mathematical Analysis and Applications, 2016
Elijah Liflyand
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Functions of bounded variation and polarization

Mathematische Nachrichten, 2009
AbstractIt is known that, ifuis a real valued function on ℝNof bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation ofuand that one of its polaruΠ(© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ALBERICO A, FERONE, Adele, VOLPICELLI R.
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Functions of Bounded Variation�and Rearrangements

Archive for Rational Mechanics and Analysis, 2002
The authors study the properties of the symmetric rearrangement \(u^*\) of a function \(u\) when \(u\) is of bounded variation in \({\mathbb R}^n\). Among these properties, the continuity and the approximate differentiability of \(u^*\) on the level sets \(\{u^*=t\}\) is investigated.
CIANCHI, ANDREA, N. FUSCO
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