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The Baltic International Yearbook of Cognition, Logic and Communication, 2013 The present article introduces ptarithmetic (short for “polynomial time arithmetic”) — a formal number theory similar to the well known Peano arithmetic, but based on the recently born computability logic instead of classical logic.
Giorgi Japaridze
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A Polynomial Decentralized Controller Design for a Large-Scale Nonlinear System: SOS Approach
IEEE Access, 2022 This paper proposes a novel approach for designing a decentralized controller to stabilize the large-scale nonlinear system. Unlike the previous studies, the polynomial system framework is employed to model the nonlinear large-scale system to decrease ...
Van-Phong Vu
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The Investigation of Nonlinear Polynomial Control Systems
Моделирование и анализ информационных систем, 2021 The paper considers methods for estimating stability using Lyapunov functions, which are used for nonlinear polynomial control systems. The apparatus of the Gro¨bner basis method is used to assess the stability of a dynamical system. A description of the
Sergei Nikolaevich Chukanov +1 more
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Сучасні інформаційні системи, 2023 Object of research is technical state of deteriorating systems whose operating conditions depend on a large number of interacting factors. The caused inhomogeneity of the sample of initial data on the technical state leads to impossibility of correct ...
Lev Raskin +3 more
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The Multivariable Zhang–Zhang Polynomial of Phenylenes
Axioms, 2023 The Zhang–Zhang polynomial of a benzenoid system is a well-known counting polynomial that was introduced in 1996. It was designed to enumerate Clar covers, which are spanning subgraphs with only hexagons and edges as connected components.
Niko Tratnik
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Mean-Square Filtering for Polynomial System States Confused with Poisson Noises over Polynomial Observations [PDF]
Modeling, Identification and Control, 2011 In this paper, the mean-square filtering problem for polynomial system states confused with white Poisson noises over polynomial observations is studied proceeding from the general expression for the stochastic Ito differentials of the mean-square ...
Michael Basin +2 more
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Error-Correction Coding Using Polynomial Residue Number System
Applied Sciences, 2022 There has been a tendency to use the theory of finite Galois fields, or GF(2n), in cryptographic ciphers (AES, Kuznyechik) and digital signal processing (DSP) systems.
Igor Anatolyevich Kalmykov +4 more
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Design Parameters for Massive Communication Systems Under Energy-Efficient Polynomial Precoder
IEEE Access, 2022 Massive multiple-input multiple output (MIMO) systems have been introduced as a resolution for next generation cellular systems. The complexity of computing the precoding in massive MIMO is increased.
Mohamed G. El-Mashed +3 more
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Polynomial Entropy and Polynomial Torsion for Fibered Systems
Regular and Chaotic Dynamics, 2023 AbstractGiven a continuous fibered dynamical system, we first introduce the notion of polynomial torsion of a fiber, which measures the “infinitesimal variation” of the dynamics between the fiber and the neighboring ones. This gives rise to an (upper semicontinous) torsion function, defined on the base of the system, which is a new $$C^{0}$$ (fiber ...
Grycan-Gérard, Flavien +1 more
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Rigid continuation paths II. structured polynomial systems
Forum of Mathematics, Pi, 2023 This work studies the average complexity of solving structured polynomial systems that are characterised by a low evaluation cost, as opposed to the dense random model previously used.
Peter Bürgisser +2 more
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