Results 21 to 30 of about 661,613 (288)
The Stability Interval of the Set of Linear System [PDF]
The article considers the problem of stability of interval-defined linear systems based on the Hurwitz and Lienard- Shipar interval criteria. Krylov, Leverier, and Leverier- Danilevsky algorithms are implemented for automated construction and analysis of
Talgat Mazakov +5 more
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Elimination for generic sparse polynomial systems [PDF]
We present a new probabilistic symbolic algorithm that, given a variety defined in an n-dimensional affine space by a generic sparse system with fixed supports, computes the Zariski closure of its projection to an l-dimensional coordinate affine space ...
Herrero, María Isabel +2 more
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On Solving Parametric Polynomial Systems [PDF]
This work intends to cover similar ground and extend the paper [\textit{D. Lazard} and \textit{F. Rouillier}, J. Symb. Comput. 42, No. 6, 636--667 (2007; Zbl 1156.14044)]. Unfortunately the present paper is of questionable quality. The English is at times hard to follow and the paper lacks mathematical substance.
Maza, Marc Moreno +2 more
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Domain-of-Attraction Estimation for Uncertain Non-polynomial Systems
In this paper, we consider the problem of computing estimates of the domain-of-attraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is ...
Lin, Wang, Wu, Min, Yang, Zhengfeng
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Subsystems of the polynomial system [PDF]
This paper deals with the classification of subsystems of a polynomial system. A system is defined as a pair of complex vector spaces (V,W) for which there exists a \({\mathbb{C}}\)-bilinear map from \({\mathbb{C}}^ 2\times V\) to W, where \({\mathbb{C}}\) is the field of complex numbers.
Okoh, Frank, Zorzitto, Frank A.
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We prove that control-affine systems whose drift is polynomial and whose control fields are constant possess a controllability space carrying complete information about local and global accessibility. This generalizes a well known result of linear system theory.
KUPKA, I., Jurdjevic, V.
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A Class of Quadratic Polynomial Chaotic Maps and Their Fixed Points Analysis
When chaotic systems are used in different practical applications, such as chaotic secure communication and chaotic pseudorandom sequence generators, a large number of chaotic systems are strongly required.
Chuanfu Wang, Qun Ding
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Modern deep neural networks, particularly transformer architectures, have achieved unprecedented performance across various domains through sophisticated mathematical structures that remain incompletely understood from a security perspective.
Sandeep Gupta +3 more
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Controller Synthesis for Discrete-Time Polynomial Systems via Occupation Measures
In this paper, we design nonlinear state feedback controllers for discrete-time polynomial dynamical systems via the occupation measure approach. We propose the discrete-time controlled Liouville equation, and use it to formulate the controller synthesis
Han, Weiqiao, Tedrake, Russ
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Wavelets operational methods for fractional differential equations and systems of fractional differential equations [PDF]
In this thesis, new and effective operational methods based on polynomials and wavelets for the solutions of FDEs and systems of FDEs are developed.
A. H. Al-Bagawi, A. H. Al-Bagawi +8 more
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