Energy constrains are always significant to be considered in control of multiagent systems. Besides, nonlinear phenomena are often involved into such systems. In this paper, we discuss the impulsive consensus problem of nonlinear multiagent systems via impulsive protocol with limited bandwidth communication based on encoding-decoding. The scheme based on encoding-decoding with impulsive protocol is introduced to multiagent systems in general directed networks topology of which the graph is strongly connected. The impulsive protocols and limited bandwidth communication enhance the performance on energy saving and the involvement of nonlinear dynamics could suit more real-world cases. The design of encoders and decoders is presented, which is the key to achieve the goal that the information exchanged is subject to limited bandwidth communication. The conditions to guarantee the impulsive consensus and the conditions to avoid quantizer saturation are obtained. Moreover, the convergence rate of such multiagent systems are also characterized by the analysis of the exponential consensus. The numerical simulations are presented to support the theoretical results.
Purpose: The China-Pakistan Economic Corridor(CPEC) is an enormous project for both economies. There are much potential remunerations for concerning frugalities in trade and industries of both countries. The study was specifically designed to examine the influence of CPEC on fruits export of Pakistan. The bilateral or regional trade was examined through Gravity approach. Data was taken from 2013 to 2015. Since distance plays a vital role in trade, the outcomes of gravity model are estimated with ordinary least square method. Pakistan China Economic Corridor is a mega project for both economies. It will make Pakistan and China, the major economic players in the region and further enhance economic conditions of both countries. Some of the basic determinations of Pak-China economic corridor are to boost business opportunities, efficient transport routes and expanding regional trade. The export target of Pakistan was $ US 20 billion in 2013-2015. As of April 2015, Pakistan exports stand at $ US 6,178 billion. Pakistan’s exports to Asia was amounted to $ US 1,649 billion which was 42 percent of its overall exports and the share of fruit and nuts markets in Pakistan's export was $ US 1,017 billion. The paper analyses the CPEC's impact on exports especially exports from fruit market of Pakistan using Gravity Approach for the evaluation of this bilateral trade. The results show that CPEC reduces the distance and it will be more beneficial for perishable goods trade like fruits.
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