# Computational and Applied Mathematics

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*p*-uniformly convex and uniformly smooth Banach spaces. We introduce a generalized step size such that the algorithm does not require a prior knowledge of the operator norms and prove...

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*G*be a graph and

*f*be a continuous self-map on

*G*. We present new and known results (from another point of view) on the periods of the periodic orbits of

*f*using mainly the action of

*f*on its homology, or the shape of the graph

*G*.

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*H*

_{∞}control problem for second-order neutral systems with actuator saturation is considered. First, a sufficient delay-dependent condition is proposed using Wirtinger-based integral inequality, under which such type neutral system with time-delay and actuator saturation is stable and satisfies

*H*

_{∞}performance. Then, based on the derived condition, the design method of observer-based...

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*p*-adic valuation...

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