Stabilizing a first order system with an arbitrarily large time varying delay and an uncertain gain

2013 ◽  
Vol 62 (10) ◽  
pp. 915-923 ◽  
Author(s):  
D.L. Gaudette ◽  
D.E. Miller
Keyword(s):  
Large Time ◽  
Order System ◽  
Time Varying ◽  
First Order ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying Delay

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Junxiu Yan ◽  
Hui Yu
Keyword(s):  
Optimization Problem ◽  
Multiagent System ◽  
Distributed Optimization ◽  
Optimal Solution ◽  
Time Varying ◽  
Razumikhin Theorem ◽  
First Order ◽  
Time Varying Delay ◽  
Consensus Optimization ◽  
Varying Delay

This paper addresses a distributed consensus optimization problem of a first-order multiagent system with time-varying delay. A continuous-time distributed optimization algorithm is proposed. Different from most ways of solving distributed optimization problem, the Lyapunov-Razumikhin theorem is applied to the convergence analysis instead of the Lyapunov-Krasovskii functionals with LMI conditions. A sufficient condition for the control parameters is obtained to make all the agents converge to the optimal solution of the system. Finally, an example is given to validate the effectiveness of our theoretical result.

scholarly journals Almost Automorphic Functions of Ordernand Applications to Dynamic Equations on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Gisèle Mophou ◽  
Gaston Mandata N’Guérékata ◽  
Aril Milce
Keyword(s):  
Time Scales ◽  
Existence And Uniqueness ◽  
Dynamical Equation ◽  
Time Varying ◽  
First Order ◽  
Time Varying Delay ◽  
Almost Automorphic ◽  
Almost Automorphic Functions ◽  
Varying Delay ◽  
Automorphic Functions

We revisit the notion on almost automorphic functions on time scales given by Lizama and Mesquita (2013). Then we present the notion of almost automorphic functions of ordern. Finally, we apply this notion to study the existence and uniqueness and the global stability of almost automorphic solution of first order to a dynamical equation with finite time varying delay.

scholarly journals Improved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 210961-210969
Author(s):  
Sharat Chandra Mahto ◽  
Rajvikram Madurai Elavarasan ◽  
Sandip Ghosh ◽  
R. K. Saket ◽  
Eklas Hossain ◽  
...  
Keyword(s):  
Delay System ◽  
Time Varying ◽  
Stability Criteria ◽  
First Order ◽  
Time Varying Delay ◽  
Improved Stability ◽  
Varying Delay
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