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Active Fault-Tolerant Control for Steering Actuator Bias in Autonomous Vehicles Using Adaptive Sliding Mode Observer. [PDF]
Kim H, Kim W.
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Nonlinear Adaptive Control of Bipolar Mood Disorder: A New Approach for Quenching the Mood Swing. [PDF]
Hasirci U.
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Functions of Bounded Variation
Graduate Texts in Mathematics, 1989A 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 ...
Ziemer William P, William P Ziemer
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Functions of bounded variation and polarization
Mathematische Nachrichten, 2009AbstractIt 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, 2002The 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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Functionals of Bounded Frechet Variation
Canadian Journal of Mathematics, 1949In a series of papers which will follow this paper the authors will present a theory of functionals which are bilinear over a product A × B of two normed vector spaces A and B. This theory will include a representation theory, a variational theory, and a spectral theory.
Morse, Marston, Transue, William
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ON FUNCTIONS OF GENERALIZED BOUNDED VARIATION
Mathematics of the USSR-Izvestiya, 1983The following theorem by F. and M. Riesz is well known: If \(\Phi\) and its conjugate \({\tilde \Phi}\) are functions of bounded variation then \(\Phi\) and \({\tilde \Phi}\) are absolutely continuous. The author obtains the following generalization of this theorem. Theorem.
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Functions of Bounded Variation
2000Abstract This chapter is entirely devoted to functions of bounded variation and sets of finite perimeter. We have collected several results scattered in the literature, from classical ones up to recent developments, trying to give a self-contained and unified treatment of this topic.
Luigi Ambrosio +2 more
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