4.6 Article

Solving the time-varying tensor square root equation by varying-parameters finite-time Zhang neural network

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

Improved finite-time zeroing neural network for time-varying division

Dimitris Gerontitis et al.

Summary: The novel VPFTZNN neural network is effective in solving the time-dependent division problem and outperforms ZNN and FTZNN in terms of error and convergence speed. Additionally, the VPFTZNN model demonstrates strong application capabilities in output tracking control for time-varying linear systems.

STUDIES IN APPLIED MATHEMATICS (2021)

Article Computer Science, Artificial Intelligence

A New Varying-Parameter Design Formula for Solving Time-Varying Problems

Predrag S. Stanimirovic et al.

Summary: A novel finite-time convergent zeroing neural network model VPFTZNN is introduced for solving time-varying problems, which replaces fixed and large scaling parameters with appropriate time-dependent gain parameters, leading to faster and bounded convergence compared to previous methods. The generality and faster finite-time convergence of the proposed VPFTZNN dynamics are the main advantages.

NEURAL PROCESSING LETTERS (2021)

Article Computer Science, Artificial Intelligence

Higher-Order ZNN Dynamics

Predrag S. Stanimirovic et al.

NEURAL PROCESSING LETTERS (2020)

Article Computer Science, Artificial Intelligence

Time-varying generalized tensor eigenanalysis via Zhang neural networks

Changxin Mo et al.

NEUROCOMPUTING (2020)

Article Engineering, Electrical & Electronic

Varying-parameter finite-time zeroing neural network for solving linear algebraic systems

Dimitrios Gerontitis et al.

ELECTRONICS LETTERS (2020)

Article Computer Science, Artificial Intelligence

A finite-time convergent Zhang neural network and its application to real-time matrix square root finding

Lin Xiao

NEURAL COMPUTING & APPLICATIONS (2019)

Article Mathematics

Iterative algorithms for solving some tensor equations

Qing-Wen Wang et al.

LINEAR & MULTILINEAR ALGEBRA (2019)

Article Computer Science, Information Systems

Improved Zhang neural network with finite-time convergence for time-varying linear system of equations solving

Xuanjiao Lv et al.

INFORMATION PROCESSING LETTERS (2019)

Article Mathematics, Applied

Time-varying matrix eigenanalyses via Zhang Neural Networks and look-ahead finite difference equations

Frank Uhlig et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2019)

Article Mathematics, Applied

Newton's method for solving the tensor square root problem

Xue-Feng Duan et al.

APPLIED MATHEMATICS LETTERS (2019)

Article Computer Science, Information Systems

A Varying-Gain Recurrent Neural Network and Its Application to Solving Online Time-Varying Matrix Equation

Zhijun Zhang et al.

IEEE ACCESS (2018)

Article Automation & Control Systems

Accelerating a recurrent neural network to finite-time convergence using a new design formula and its application to time-varying matrix square root

Lin Xiao

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2017)

Article Computer Science, Artificial Intelligence

Nonlinearly Activated Recurrent Neural Network for Computing the Drazin Inverse

Xue-Zhong Wang et al.

NEURAL PROCESSING LETTERS (2017)

Article Computer Science, Artificial Intelligence

Complex Neural Network Models for Time-Varying Drazin Inverse

Xue-Zhong Wang et al.

NEURAL COMPUTATION (2016)

Article Mathematics, Applied

THIRD-ORDER TENSORS AS OPERATORS ON MATRICES: A THEORETICAL AND COMPUTATIONAL FRAMEWORK WITH APPLICATIONS IN IMAGING

Misha E. Kilmer et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2013)

Article Engineering, Electrical & Electronic

Two New Types of Zhang Neural Networks Solving Systems of Time-Varying Nonlinear Inequalities

Lin Xiao et al.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS (2012)

Article Computer Science, Artificial Intelligence

Zhang neural network and its application to Newton iteration for matrix square root estimation

Yunong Zhang et al.

NEURAL COMPUTING & APPLICATIONS (2012)

Article Mathematics, Applied

VERIFIED COMPUTATION OF SQUARE ROOTS OF A MATRIX

Andreas Frommer et al.

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2009)

Article Computer Science, Theory & Methods

Eigenvalues of a real supersymmetric tensor

LQ Qi

JOURNAL OF SYMBOLIC COMPUTATION (2005)

Article Mathematics, Applied

The matrix square root from a new functional perspective: Theoretical results and computational issues

B Meini

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (2004)

Article Automation & Control Systems

A unified quadratic-programming-based dynamical system approach to joint torque optimization of physically constrained redundant manipulators

Y Zhang et al.

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS (2004)

Article Mathematics, Applied

Uniqueness of matrix square roots and an application

CR Johnson et al.

LINEAR ALGEBRA AND ITS APPLICATIONS (2001)