A finite-time recurrent neural network for solving online time-varying Sylvester matrix equation based on a new evolution formula
From MaRDI portal
Publication:1696889
DOI10.1007/s11071-017-3750-4zbMath1380.34047OpenAlexW2746282094MaRDI QIDQ1696889
Publication date: 15 February 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3750-4
upper boundfinite-time convergenceZhang neural networkevolution formulatime-varying Sylvester equation
Neural networks for/in biological studies, artificial life and related topics (92B20) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
Related Items
Nonlinear gradient neural network for solving system of linear equations ⋮ Tracking control of ship course system using new six-step zead (Zhang et al discretization) formula with high precision ⋮ Design of a nonlinearly activated gradient-based neural network and its application to matrix inversion ⋮ Simulation of varying parameter recurrent neural network with application to matrix inversion ⋮ A family of varying-parameter finite-time zeroing neural networks for solving time-varying Sylvester equation and its application ⋮ Nonlinear recurrent neural networks for finite-time solution of general time-varying linear matrix equations ⋮ Design, verification and robotic application of a novel recurrent neural network for computing dynamic Sylvester equation ⋮ Improved Zhang neural network with finite-time convergence for time-varying linear system of equations solving ⋮ A novel finite-time complex-valued zeoring neural network for solving time-varying complex-valued Sylvester equation ⋮ A new ZNN model for finding discrete time-variant matrix square root: from model design to parameter analysis ⋮ An exponential varying-parameter neural network for repetitive tracking of mobile manipulators ⋮ Improved finite-time zeroing neural networks for time-varying complex Sylvester equation solving ⋮ Design and analysis of robust nonlinear neural dynamics for solving dynamic nonlinear equation within finite time ⋮ Improved finite-time solutions to time-varying Sylvester tensor equation via zeroing neural networks ⋮ Finite-time convergent zeroing neural network for solving time-varying algebraic Riccati equations
Cites Work
- Comparison on neural solvers for the Lyapunov matrix equation with stationary image nonstationary coefficients
- Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations
- On exponential convergence of nonlinear gradient dynamics system with application to square root finding
- A new projection method for solving large Sylvester equations
- Gradient based iterative algorithm for solving coupled matrix equations
- On the ADI method for Sylvester equations
- On the ADI method for the Sylvester equation and the optimal-\({\mathcal H}_{2}\) points
- Solution to sylvester equation associated to linear descriptor systems
- Neural network based robust hybrid control for robotic system: an \(H_\infty\) approach
- Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
- Iterative least-squares solutions of coupled sylvester matrix equations
- On the solution of a Sylvester equation appearing in descriptor systems control theory
- A Hessenberg-Schur method for the problem AX + XB= C
- Application of ADI Iterative Methods to the Restoration of Noisy Images
- Finite iterative algorithm for solving coupled Lyapunov equations appearing in continuous-time Markov jump linear systems
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
