A5045310908- Matrix Theory and Algorithms
- Algebraic and Geometric Analysis
- Electromagnetic Scattering and Analysis
- Chaos control and synchronization
- Vibration and Dynamic Analysis
- Advanced Mathematical Theories and Applications
- Power System Optimization and Stability
- Advanced Algorithms and Applications
- Stability and Control of Uncertain Systems
- Advanced Image Fusion Techniques
- Elasticity and Wave Propagation
- Quantum and Classical Electrodynamics
- Nonlinear Dynamics and Pattern Formation
- Differential Equations and Numerical Methods
- Advanced Optimization Algorithms Research
- Mathematical Analysis and Transform Methods
- Nonlinear Waves and Solitons
- Image and Video Stabilization
- Digital Filter Design and Implementation
- Advanced Topics in Algebra
- Holomorphic and Operator Theory
- Mathematics and Applications
- Numerical methods for differential equations
University of Jinan
2014-2024
Shandong University
2013-2014
Shandong University of Science and Technology
2013-2014
East China Normal University
2010-2012
In the present paper, we investigate quaternion matrix equation X−AXF=C and X−A[Xtilde] F=C. For convenience, named equations F=C as Stein Stein-conjugate equation. Based on Kronecker map complex representation of a matrix, give solution expressions Through these expressions, can easily obtain above two equations. order to compare direct algorithm with indirect algorithm, propose an example illustrate effectiveness proposed method.
A new approach is presented for obtaining the solutions to Yakubovich-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:math>-conjugate quaternion matrix equation<mml:math id="M3"><mml:mi>X</mml:mi><mml:mo>−</mml:mo><mml:mi>A</mml:mi><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo>^</mml:mo></mml:mover><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:mi>Y</mml:mi></mml:math>based on real representation of a matrix....
This paper focuses on the swing oscillation process of synchronous generator rotors in a three‐machine power system. With help bifurcation diagram, time history, phase portrait, Poincaré section, and frequency spectrum, complex dynamical behaviors their evolution are detected clearly this system with varying perturbation related parameters different parameters. Furthermore, combining qualitative quantitative characteristics chaotic motion, paths leading to chaos coexisting have been found....
This paper deals with the bifurcation and chaotic dynamic characteristic of a single‐machine infinite‐bus (SMIB) power system under two kinds harmonic excitation disturbance, which are induced by external periodic load outer mechanical disturbance. By applying Melnikov’s method, threshold value for occurrence motion is provided. In addition, boundary surface given. The efficiency criteria obtained in this verified diagram, phase portraits, Poincaré section, frequency spectrum. results will...
In the present paper, by using of coefficients characteristic polynomial matrix [Formula: see text] and so-called Leverrier algorithm, explicit solutions to Sylvester-conjugate equation (including Lyapunov-conjugate as special case) have been constructed. While one is stated a coefficient matrices equation, expressed symmetric operator matrix, controllability observability matrix. Comparing existing results, there no requirement on matrices. At end this numerical example shown illustrate...
In this paper, we investigate the minimal norm Hermitian solution, pure imaginary solution and real of reduced biquaternion matrix equation. We introduce new representation special properties . present sufficient necessary conditions three solutions corresponding numerical algorithms for solving solutions. Finally, show that our method is better than complex in terms error CPU time examples.
In view of the advantages simplicity and effectiveness Kaczmarz method, which was originally employed to solve large-scale system linear equations $Ax=b$, we study greedy randomized block method (ME-GRBK) its relaxation deterministic versions matrix equation $AXB=C$, is commonly encountered in applications engineering sciences. It demonstrated that our algorithms converge unique least-norm solution when it consistent their convergence rate faster than (ME-RBK). Moreover, (ME-BK) for solving...
In this article, we develop a real representation method for computing the solution pair (X, Y) to non-homogeneous generalized Sylvester quaternion j-conjugate matrix equation XB - AX̑ = CY + R. Compared existing complex [C. Song, G. Chen, Acta Mathematica Scientia 2012, 32(B)(5):1967-1982], advantage of new approach is that there no special requirement on any coefficient matrix. sense, generalize results. Finally, numerical example provided support theoretical findings and testify...
We investigate the matrix equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>X</mml:mi><mml:mo>−</mml:mo><mml:mi>A</mml:mi><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>B</mml:mi><mml:mo>=</mml:mo><mml:mi>C</mml:mi></mml:mrow></mml:math>. For convenience, id="M3"><mml:mrow><mml:mi>X</mml:mi><mml:mo>−</mml:mo><mml:mi>A</mml:mi><mml:mover...