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Adaptive non‐singular integral terminal sliding mode tracking control for autonomous underwater vehicles

IET Control Theory & Applications, 2017
This study proposes an adaptive non-singular integral terminal sliding mode control (ANITSMC) scheme for trajectory tracking of autonomous underwater vehicles (AUVs) with dynamic uncertainties and time-varying external disturbances.
Lei Qiao, W. Zhang
semanticscholar   +1 more source

Weighted Norm Inequalities for Rough Singular Integral Operators

Journal of Geometric Analysis, 2017
In this paper we provide weighted estimates for rough operators, including rough homogeneous singular integrals $$T_\Omega $$TΩ with $$\Omega \in L^\infty (\mathbb {S}^{n-1})$$Ω∈L∞(Sn-1) and the Bochner–Riesz multiplier at the critical index $$B_{(n-1)/2}
Kangwei Li   +3 more
semanticscholar   +1 more source

The singular integral operator and its commutator on weighted Morrey spaces

, 2016
In this paper, we give necessary conditions and sufficient conditions respectively for the boundedness of the singular integral operator on the weighted Morrey spaces. We observe the phenomenon unique to the case of Morrey spaces; the $$A_q$$Aq-theory by
Shohei Nakamura, Y. Sawano
semanticscholar   +1 more source

Vector-valued singular integral operators on Morrey type spaces and variable Triebel-Lizorkin-Morrey spaces

, 2012
A criteria on the vector-valued Banach function spaces X (B) is obtained so that whenever a vector-valued singular integral operator is bounded on X (B), it can be extended to be a bounded linear operator on the corresponding Morrey type spaces.
K. Ho
semanticscholar   +1 more source

Applied Singular Integral Equations

, 2011
Preface Introduction Basic Definitions Occurrence of singular integral equations Some Elementary Methods of Solution of Singular Integral Equations Abel integral equation and its generalization Integral equations with logarithmic type of singularities ...
B. N. Mandal, A. Chakrabarti
semanticscholar   +1 more source

Pseudodifferential and Singular Integral Operators: An Introduction with Applications

, 2011
This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations.
H. Abels
semanticscholar   +1 more source

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