Journal
NEURAL PROCESSING LETTERS
Volume 53, Issue 1, Pages 107-129Publisher
SPRINGER
DOI: 10.1007/s11063-020-10386-6
Keywords
Zhang neural network; Outer inverse; Matrix equation; Time-varying complex matrix; Activation function; Finite-time convergence
Categories
Funding
- Ministry of Education, Science and Technological Development, Republic of Serbia [174013]
Ask authors/readers for more resources
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.
A novel finite-time convergent zeroing neural network (ZNN) based on varying gain parameter for solving time-varying (TV) problems is presented. The model is based on the improvement and generalization of the finite-time ZNN (FTZNN) dynamics by means of the varying-parameter ZNN (VPZNN) dynamics, and termed as VPFTZNN. More precisely, the proposed model replaces fixed and large values of the scaling parameter by an appropriate time-dependent gain parameter, which leads to a faster and bounded convergence of the error function in comparison to previous ZNN methods. The convergence properties of the proposed VPFTZNN dynamical evolution in its generic form is verified. Particularly, VPFTZNN for solving linear matrix equations and for computing generalized inverses are investigated theoretically and numerically. Moreover, the proposed design is applicable in solving the TV matrix inversion problem, solving the Lyapunov and Sylvester equation as well as in approximating the matrix square root. Theoretical analysis as well as simulation results validate the effectiveness of the introduced dynamical evolution. The main advantages of the proposed VPFTZNN dynamics are their generality and faster finite-time convergence with respect to FTZNN models.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available