• Title/Summary/Keyword: unbounded delay

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STABILITY PROPERTIES IN NONLINEAR DISCRETE VOLTERRA EQUATIONS WITH UNBOUNDED DELAY

  • Choi, Sung Kyu;Kim, Yunhee;Koo, Namjip;Yun, Chanmi
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.1
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    • pp.197-211
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    • 2013
  • We study some stability properties in discrete Volterra equations by employing to change Yoshizawa's results in [13] for the nonlinear equations into results for the nonlinear discrete Volterra equations with unbounded delay.

ON THE GENERAL DECAY STABILITY OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY

  • Meng, Xuejing;Yin, Baojian
    • Journal of the Korean Mathematical Society
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    • v.49 no.3
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    • pp.515-536
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    • 2012
  • This work focuses on the general decay stability of nonlinear stochastic differential equations with unbounded delay. A Razumikhin-type theorem is first established to obtain the moment stability but without almost sure stability. Then an improved edition is presented to derive not only the moment stability but also the almost sure stability, while existing Razumikhin-type theorems aim at only the moment stability. By virtue of the $M$-matrix techniques, we further develop the aforementioned Razumikhin-type theorems to be easily implementable. Two examples are given for illustration.

CONTROLLABILITY OF SECOND ORDER SEMI-LINEAR NEUTRAL IMPULSIVE DIFFERENTIAL INCLUSIONS ON UNBOUNDED DOMAIN WITH INFINITE DELAY IN BANACH SPACES

  • Chalishajar, Dimplekumar N.;Acharya, Falguni S.
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.4
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    • pp.813-838
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    • 2011
  • In this paper, we prove sufficient conditions for controllability of second order semi-linear neutral impulsive differential inclusions on unbounded domain with infinite delay in Banach spaces using the theory of strongly continuous Cosine families. We shall rely on a fixed point theorem due to Ma for multi-valued maps. The controllability results in infinite dimensional space has been proved without compactness on the family of Cosine operators.

Mobile Robot Teleoperation to Consider the Stability over the Time-Delay of Wireless Network (무선네트워크의 시간지연을 고려한 원격이동로봇의 안정성에 대한 연구)

  • Ro, Young-Shick;Kang, Hee-Jun;Suh, Young-Soo;Yoo, Sun-Kuk
    • Proceedings of the KIEE Conference
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    • 2007.04a
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    • pp.340-342
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    • 2007
  • When a system is teleoperated in the indoor environment through the wireless LAN, the communication time delay that is due to the inherent characteristic and surrounding environment is random and unbounded. The time delay has a significant effect on the stability and performance of the teleoperating system. In this paper, we present the method that is the image compression, measuring time delay and switching control-mode corresponding to time delay automatically, to improve stability and performance, and the simple experiment is conducted to demonstrate the feasibility

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Worst-case Delay Analysis of Time-Triggered 802.15.4 for Wireless Industrial Environments

  • Kim, Hyun-Hee;Lee, Kyung-Chang
    • Journal of the Korean Society of Industry Convergence
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    • v.20 no.3
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    • pp.205-212
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    • 2017
  • This paper focuses on worst-case delay analysis of the time-triggered IEEE 802.15.4 protocol to satisfy the industrial quality-of-service (QoS) performance. The IEEE 802.15.4 protocol is considered to be unsuitable for industrial networks because its medium access control method is contention-based CSMA/CA, which exhibits unstable performance with an unbounded delay distribution under heavy traffic. To avoid these limitations, this paper presents a time-triggered version of the nonbeacon-enabled network of IEEE 802.15.4 that relies on a time division multiplexing access (TDMA) method implemented in the application layer without any modification of specification. The timing analysis of this time-triggered IEEE 802.15.4 was executed, and the worst-case transmission delay was calculated. Based on this analysis, the time-triggered IEEE 802.15.4 is a promising alternative for wireless industrial networking.

The Adaptive Control for the Teleoperated Mobile Robot through the Wireless LAN (이동로봇의 무선 원격조정을 위한 적응제어)

  • Shim, Kyo-Man;Hong, Hyun-Ju;Kwon, Seok-Geun;Ro, Young-Shick
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.150-153
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    • 2002
  • When a system is teleoperated in the indoor environment through the wireless LAN, we must consider the communication time delay. The time delay is random and unbounded due to the inherent characteristic and surrounding environment. As result of this, the stability and performance of the teleoperated system is degraded. In this paper, we present the adaptive control algorithm to overcome this problem by measuring time delay and allocating task corresponding to time delay dynamically. And the simple experiment is conducted to demonstrate the feasibility.

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Rate Proportional SCFQ Algorithm for High-Speed Packet-Switched Networks

  • Choi, Byung-Hwan;Park, Hong-Shik
    • ETRI Journal
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    • v.22 no.3
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    • pp.1-9
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    • 2000
  • Self-Clocked Fair Queueing (SCFQ) algorithm has been considered as an attractive packet scheduling algorithm because of its implementation simplicity, but it has unbounded delay property in some input traffic conditions. In this paper, we propose a Rate Proportional SCFQ (RP-SCFQ) algorithm which is a rate proportional version of SCFQ. If any fair queueing algorithm can be categorized into the rate proportional class and input is constrained by a leaky bucket, its delay is bounded and the same as that of Weighted Fair Queueing (WFQ) which is known as an optimal fair queueing algorithm. RP-SCFQ calculates the timestamps of packets arriving during the transmission of a packet using the current value of system potential updated at every packet departing instant and uses a starting potential when it updates the system potential. By doing so, RP-SCFQ can have the rate proportional property. RP-SCFQ is appropriate for high-speed packet-switched networks since its implementation complexity is low while it guarantees the bounded delay even in the worst-case input traffic conditions.

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CONTROLLABILITY FOR SEMILINEAR STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DELAYS IN HILBERT SPACES

  • Kim, Daewook;Jeong, Jin-Mun
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.4
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    • pp.355-368
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    • 2021
  • In this paper, we investigate necessary and sufficient conditions for the approximate controllability for semilinear stochastic functional differential equations with delays in Hilbert spaces without the strict range condition on the controller even though the equations contain unbounded principal operators, delay terms and local Lipschitz continuity of the nonlinear term.