Results 21 to 30 of about 30,859 (297)
Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution
IEEE Access, 2021 A modified discrete-time algebraic Riccati equation (MARE) is a discrete-time algebraic Riccati equation (DARE) for which the quadratic term is weighted by a modifying parameter $\alpha $ .
Alejandro J. Rojas
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The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation
Journal of Nigerian Society of Physical Sciences, 2022 The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch +2 more
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ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES [PDF]
Romanian Journal of Mathematics and Computer Science, 2016 In this note we recall (see also [8]) the structure of all recurrent sequences which satisfy a fixed recurrence relation, with entries in a perfect field.
SEVER ANGEL POPESCU
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SOLUTION OF ALGEBRAIC EQUATIONS BY THE METHOD OF АITKEN-NIKIPORTS
Наука. Инновации. Технологии, 2022 Presents analytical expressions representing all the roots of a random algebraic equation of the n-th degree through the ratio of the original equation. These formulas consist of two relations infnite Toeplitz determinants, diagonal elements of which are
Gennadiy Anatol'yevich Kirichenko +2 more
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A new algebraization of the Laméequation [PDF]
Journal of Physics A: Mathematical and General, 2000 We develop a new way of writing the Lame Hamiltonian in Lie-algebraic form. This yields, in a natural way, an explicit formula for both the Lame polynomials and the classical non-meromorphic Lame functions in terms of Chebyshev polynomials and of a certain family of weakly orthogonal ...
Finkel Morgenstern, Federico +2 more
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Denumerability of the Algebraic Numbers
Davao Research Journal, 2000 An algebraic number is a real number that is a root of a polynomial equation anXn + an-1Xn-1…+a0 where ai are integers. In this paper, using the fact that a polynomial equation of degree n has at most n roots, together with some results, the ...
Marleonie Bauyot
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On the Equational Base of SMB Algebras
Mathematics, 2023 The “semilattices of Mal’cev blocks”, for short SMB algebras, were defined by A. Bulatov. In a recently accepted paper by P. Đapić, P. Marković, R. McKenzie, and A. Prokić, the class of all SMB algebras and its subclass of regular SMB algebras were proved to be varieties of algebras.
Petar Đapić +2 more
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Global algebraic Poincaré–Bendixson annulus for the Rayleigh equation
Electronic Journal of Qualitative Theory of Differential Equations, 2023 We consider the Rayleigh equation $\ddot{x} + \lambda (\dot{x}^2/3-1)\dot{x} +x=0$ depending on the real parameter $\lambda$ and construct a Poincaré–Bendixson annulus $\mathcal{A}_\lambda$ in the phase plane containing the unique limit cycle $\Gamma_ ...
Alexander Grin, Klaus Schneider
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Modified Extended Lie-Group Method for Hessenberg Differential Algebraic Equations with Index-3
Mathematics, 2023 Hessenberg differential algebraic equations (Hessenberg-DAEs) with a high index play a critical role in the modeling of mechanical systems and multibody dynamics.
Juan Tang, Jianguang Lu
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
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