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A New H₂ Bound for H<SUB>∞</SUB> Entropy
Hui Zhang,Youxian Sun 제어로봇시스템학회 2008 International Journal of Control, Automation, and Vol.6 No.4
The H∞ entropy in H∞ control theory is discussed based on investigating information transmission in continuous-time linear stochastic systems. It is proved that the stabilizing feedback does not change the time-average information transmission between system input and output, and the H∞ entropies of open- and closed-loop stable transfer functions are bounded by mutual information rate between input and output in the open-loop system. Furthermore, a new H₂ upper bound for H∞ entropy is introduced with a numerical example. Thus the H∞ entropy of a stable transfer function is sandwiched between H₂ norms of the original system and a static feedback system.
Towards Balanced Energy Charging and Transmission Collision in Wireless Rechargeable Sensor Networks
Ruilong Deng,Shibo He,Peng-Cheng Chen,Youxian Sun 한국통신학회 2017 Journal of communications and networks Vol.19 No.4
By integrating sensing and computing capabilities intothe traditional radio frequency identification (RFID) tags, the wirelessidentification and sensing platform (WISP) opens up a new researcharea referred to as wireless rechargeable sensor networks(WRSNs). Since WISPs need to be fully charged and then canstart communication with the reader, thus the energy chargingand transmission collision of WISPs are different from those ofRFID tags. If the reader power is large, WISPs will be chargedfast and start data transmission almost at the same time, which resultsin heavy transmission collision and the communication delaywould be extremely large. However, if the reader power is small,WISPs will be charged slow and start data transmission one byone even without collisionh between any two WISPs, but the chargingperiod of the whole network would be extremely large. Therefore,this paper aims at determining an optimal reader power towardsbalanced energy charging and transmission collision, suchthat the total duration for all WISPs to be fully charged and completelycommunicated is minimized. Firstly, we investigate on dynamicreader power with transmission collision avoidance, andstatic reader power towards balanced energy charging and transmissioncollision. Then, we derive the optimal reader power inthree cases: (i) One reader and ray-uniformly distributed WISPs;(ii) one reader and randomly distributed WISPs; and (iii) multiplereaders and randomly distributed WISPs. Finally, the theoreticalanalysis is verified through extensive evaluations.