Stability analysis of swarming model with time delays
نویسندگان
چکیده
Abstract A swarming model is a that describes the behavior of social aggregation large group animals or community humans. In this work, includes short-range repulsion and long-range attraction with presence time delay investigated. Moreover, convergence to consensus representing dispersion cohesion properties proved by using Lyapunov functional approach. Finally, numerical results are provided demonstrate effect on motion agents.
منابع مشابه
Exponential Stability of Linear Systems with Multiple Time Delays
In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...
متن کاملStability analysis of neural networks with interval time-varying delays.
The global exponential stability is investigated for neural networks with interval time-varying delays. Based on the Leibniz-Newton formula and linear matrix inequality technique, delay-dependent stability criteria are proposed to guarantee the exponential stability of neural networks with interval time-varying delays. Some numerical examples and comparisons are provided to show that the propos...
متن کاملExponential Stability Analysis of Neural Networks with Multiple Time Delays
This paper considers the robust stability of neural networks with multiple delays. Based on Lyapunov stability theory and linear matrix inequality technique, some new delay independent conditions are derived to guarantee the global robust exponential stability of the equilibrium point. Furthermore, the obtained results are generalized to the interval neural networks and bidirectional associativ...
متن کاملRobust Stability Analysis of Linear Systems with Time-varying Delays
Robust stability of linear systems in presence of bounded uncertain time-varying time delays is studied. The time delay robustness problem is treated in the Integral Quadratic Constraint (IQC) framework. The stability criterion is formulated as frequency dependent linear matrix inequalities. The criterion can be equivalently formulated as a Semi-Definite Program (SDP) by applying KalmanYakubovi...
متن کاملStability Analysis of Cellular Neural Networks with Time Delays
Cellular Neural Networks (CNN) are artificial neural networks displaying multidimensional arrays of cells and local interconnections among the cells. Since in a CNN all the cells are identically, the qualitative behavior of the entire network can be studied via stability results obtained for the interconnected systems. The finite switching speed of amplifiers and communications time between cel...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2021
ISSN: ['1687-1839', '1687-1847']
DOI: https://doi.org/10.1186/s13662-021-03379-9