Results 11 to 20 of about 247,997 (332)
New techniques for solving some matrix and matrix differential equations
Ain Shams Engineering Journal, 2015 Matrix and matrix differential equations play an important role in system theory, control theory, stability theory of differential equations, communication systems and many other fields.
Zeyad Abdel Aziz Al-Zhour
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Mathematics, 2018 This paper introduces a new numerical approach to solving a system of fractional differential equations (FDEs) using the Legendre wavelet operational matrix method (LWOMM).
Aydin Secer, Selvi Altun
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Solving a System of Sylvester-like Quaternion Matrix Equations
Symmetry, 2022 Using the ranks and Moore-Penrose inverses of involved matrices, in this paper we establish some necessary and sufficient solvability conditions for a system of Sylvester-type quaternion matrix equations, and give an expression of the general solution to the system when it is solvable.
Ruo-Nan Wang +2 more
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A system of dual quaternion matrix equations with its applications
CoRR, 2023 We employ the M-P inverses and ranks of quaternion matrices to establish the necessary and sufficient conditions for solving a system of the dual quaternion matrix equations $(AX, XC) = (B, D)$, along with providing an expression for its general solution.
Lv-Ming Xie, Qing-Wen Wang 0001
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Solution of Fuzzy Matrix Equation System [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Summary: The main is to develop a method to solve an arbitrary fuzzy matrix equation system by using the embedding approach. Considering the existing solution to fuzzy matrix equation system is done. To illustrate the proposed model a numerical example is given, and obtained results are discussed.
Mahmood Otadi, Maryam Mosleh
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Fuzzy Information and Engineering, 2022 A couple of Sylvester matrix equations (CSME) are required to be solved simultaneously in many applications, especially in analysing the stability of control systems.
Ahmed Abdel Aziz Elsayed +2 more
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The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint [PDF]
Journal of Electrical and Computer Engineering Innovations, 2013 In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations ...
R. Hajmohammadi +2 more
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A matrix method for system of integro-differential equations by using generalized Laguerre polynomials [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 The purpose of this research is to present a matrix method for solving system of linear Fredholm integro-differential equations(FIDEs) of the second kind on unbounded domain with degenerate kernels in terms of generalized Laguerre polynomials(GLPs).
Mashallah Matinfar, Abbas Riahifar
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On stability of motion of unbalanced gyroscope [PDF]
E3S Web of Conferences, 2023 In this paper we consider the stability of motion of an unbalanced gyroscope with a flexible shaft in gimbal suspension.Gyroscopes are used to control the stability of boom tower cranes.
Titova Tatiana
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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