$ S $-asymptotically $ \omega $-periodic dynamics in a fractional-order dual inertial neural networks with time-varying lags

Abstract

<abstract><p>This paper investigates global dynamics in fractional-order dual inertial neural networks with time lags. Firstly, according to some crucial features of Mittag-Leffler functions and Banach contracting mapping principle, the existence and uniqueness of $ S $-asymptotically $ \omega $-periodic oscillation of the model are gained. Secondly, by using the comparison principle and the stability criteria of delayed Caputo fractional-order differential equations, global asymptotical stability of the model is studied. In the end, the feasibility and effectiveness of the obtained conclusions are supported by two numerical examples. There are few papers focus on $ S $-asymptotically $ \omega $-periodic dynamics in fractional-order dual inertial neural networks with time-varying lags, apparently, the works in this paper fill some of the gaps.</p></abstract>

Integrated energy system operation considering building thermal inertia and hydrogen storage systems

“…where w is the inertia weight; c 1 and c 2 are the acceleration coefficients, respectively. The individual positions are updated by eqn (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21).…”

“…Zhu et al 19 proposed a reliability assessment method for international energy systems considering aerothermal inertia based on the power support capability of aerothermal inertia and verified that the assessment method can reduce the scale and frequency of power outages due to the prevention of power plant overload operation, mitigate the system operation risk caused by load overload, reduce the system operation cost, and improve the long-term operation reliability and economy of the system. Qu et al 20 proposed a new IES optimization model considering thermal inertia and natural gas inertia for the multivariate heterogeneity of energy sources in thermal and natural gas systems and verified that the model can effectively reduce the system operation cost and improve the system economy by constructing an arithmetic example. Sun et al 21 proposed a unified IES gas and thermal inertia model given that gas and thermal systems have similar slow dynamic characteristics and constructed arithmetic examples to verify the potential ability of the model in improving the flexibility and reliability of IES operation and reducing the system operation cost.…”

Anti-periodic Solutions Dynamics for Fractional-order Inertia Cohen-Grossberg Neural Networks

“…The author studied the boundedness and global Mittag-Leffler synchronization of fractional-order inertial Cohen-Grossberg neural networks with time-varying delays [11]. The author of [12] studied the S-asymptotic- periodicity of a class of fractional-order double inertial neural networks. By Riemann Liouville's fractional integral and derivative properties, sufficient conditions for synchronization of fractional-order inertial neural network systems are obtained in [13].…”