On exponential convergence of nonlinear gradient dynamics system with application to square root finding
From MaRDI portal
Publication:493934
DOI10.1007/s11071-014-1716-3zbMath1345.65066OpenAlexW1992884260MaRDI QIDQ493934
Dechao Chen, Bolin Liao, Ying Wang, Dong-Sheng Guo, Yu-Nong Zhang
Publication date: 7 September 2015
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-014-1716-3
energy functionexponential convergenceLyapunov theorynonlinear gradient dynamics systemscalar square root finding
Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical problems in dynamical systems (65P99)
Related Items
Accelerating a recurrent neural network to finite-time convergence using a new design formula and its application to time-varying matrix square root, Control of pendulum tracking (including swinging up) of IPC system using zeroing-gradient method, A type of biased consensus-based distributed neural network for path planning, A noise tolerant parameter-variable zeroing neural network and its applications, A finite-time recurrent neural network for solving online time-varying Sylvester matrix equation based on a new evolution formula, Mittag-Leffler stability of fractional-order neural networks in the presence of generalized piecewise constant arguments, Design and analysis of robust nonlinear neural dynamics for solving dynamic nonlinear equation within finite time
Cites Work
- Unnamed Item
- Unnamed Item
- Estimation of the largest Lyapunov exponent from the perturbation vector and its derivative dot product
- The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component
- Global exponential convergence and stability of gradient-based neural network for online matrix inversion
- Generalized Lyapunov method for discontinuous systems
- Unbiased ensemble square root filters
- Square-root Kalman filtering of descriptor systems
- Computing the square root and logarithm of a real \(P\)-orthogonal matrix
- Time-varying square roots finding via Zhang dynamics versus gradient dynamics and the former's link and new explanation to Newton-Raphson iteration
- Accelerated convergence in Newton's method for approximating square roots
- Gradient-based identification methods for Hammerstein nonlinear ARMAX models
- A fractional gradient representation of the Poincaré equations
- Nonlinear vibration analysis of micro-plates based on strain gradient elasticity theory
- Gradient-based parameter estimation for input nonlinear systems with ARMA noises based on the auxiliary model
- Heat flow for the square root of the negative Laplacian for unit length vectors
- Exploiting Hessian matrix and trust-region algorithm in hyperparameters estimation of Gaussian process
- Square-Rooting Algorithms for High-Speed Digital Circuits
- On-Line Algorithms for Division and Multiplication
- Performance Analysis of Gradient Neural Network Exploited for Online Time-Varying Matrix Inversion
- Two New Types of Zhang Neural Networks Solving Systems of Time-Varying Nonlinear Inequalities
- From Zhang Neural Network to Newton Iteration for Matrix Inversion
- The double square root, Jacobi polynomials and Ramanujan's master theorem
