scholarly journals Asymptotical Stability of Riemann--Liouville Nonlinear Fractional Neutral Systems with Time-Varying Delays

2021 ◽  
Author(s):  
Erdal KORKMAZ ◽  
Abdulhamit Ozdemir
Keyword(s):  
Asymptotic Stability ◽  
Optimization Problems ◽  
Time Dependent ◽  
Time Varying ◽  
Stability Of Solutions ◽  
Neutral Systems ◽  
Differential Systems ◽  
Convex Optimization Problems ◽  
The Given ◽  
Fractional Neutral Systems

In this paper, we investigate the asymptotic stability of solutions for a class of nonlinear fractional neutral differential systems with time dependent delays when the given delays are unbounded. An example is used to show the efficacy of the theorems. The LMI tool box was used to calculate the solutions to the convex optimization problems.

ON THE ASYMPTOTIC PROPERTIES OF RECURRENT NEURAL NETWORKS FOR OPTIMIZATION

1991 ◽  
Vol 05 (04) ◽  
pp. 581-601 ◽  
Author(s):  
JUN WANG
Keyword(s):  
Neural Networks ◽  
Asymptotic Stability ◽  
Recurrent Neural Networks ◽  
Design Methodology ◽  
Optimization Problems ◽  
Asymptotic Properties ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Operating Characteristics

Asymptotic properties of recurrent neural networks for optimization are analyzed. Specifically, asymptotic stability of recurrent neural networks with monotonically time-varying penalty parameters for optimization is proven; sufficient conditions of feasibility and optimality of solutions generated by the recurrent neural networks are characterized. Design methodology of the recurrent neural networks for solving optimization problems is discussed. Operating characteristics of the recurrent neural networks are also presented using illustrative examples.

scholarly journals On Stability of Differential Systems with Noninstantaneous Impulses

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Anju Sood ◽  
Sanjay K. Srivastava
Keyword(s):  
Asymptotic Stability ◽  
Lyapunov Functions ◽  
Impulsive Differential Equations ◽  
Fixed Time ◽  
Stability Of Solutions ◽  
Uniform Asymptotic Stability ◽  
Differential Systems ◽  
New Class ◽  
Noninstantaneous Impulses ◽  
Theoretical Results

A new class of impulsive differential equations with noninstantaneous fixed time impulses is considered. Uniform stability and uniform asymptotic stability of solutions of the system have been established by employing piecewise Lyapunov functions. An example is also given to illustrate the theoretical results.

scholarly journals Further results on the asymptotic stability of Riemann–Liouville fractional neutral systems with variable delays

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yener Altun
Keyword(s):  
Asymptotic Stability ◽  
Zero Solution ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Stability Criteria ◽  
Neutral Systems ◽  
Variable Delays ◽  
The Stability ◽  
Derivatives Of ◽  
Fractional Neutral Systems

Abstract In this paper, the investigation of the asymptotic stability of Riemann–Liouville fractional neutral systems with variable delays has been presented. The advantage of the Lyapunov functional was used to achieve the desired results. The stability criteria obtained for zero solution of the system were formulated as linear matrix inequalities (LMIs) which can be easily solved. The advantage of the considered method is that the integer-order derivatives of the Lyapunov functionals can be directly calculated. Finally, three numerical examples have been evaluated to illustrate that the proposed method is flexible and efficient in terms of computation and to demonstrate the feasibility of established assumptions by MATLAB-Simulink.

scholarly journals Well-Posedness and Asymptotic Stability of Solutions to the Bresse System under Cattaneo's Law with Infinite Memories and Time-Varying Delays

2017 ◽  
Author(s):  
Gang Li ◽  
Xiangyu Kong
Keyword(s):  
Time Dependent ◽  
Lyapunov Functionals ◽  
Well Posedness ◽  
Time Varying ◽  
Stability Of Solutions ◽  
One Dimensional ◽  
Delay Term ◽  
Relaxation Functions ◽  
Well Posed ◽  
Cattaneo’S Law

In this paper, we study a one-dimensional Bresse-Cattaneo system with infinite memories and time-dependent delay term (the coefficient of which is not necessarily positive) in the internal feedbacks. First, it is proved that the system is well-posed by means of the Hille-Yosida theorem under suitable assumptions on the relaxation functions. Then, without any restriction on the speeds of wave propagations, we establish the exponential or general decay result by introducing suitable energy and Lyapunov functionals.

Sign in / Sign up

Export Citation Format

Share Document