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      Stability Criterion of Linear Delayed Impulsive Differential Systems with Impulse TimeWindows

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      https://www.riss.kr/link?id=A104905825

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      다국어 초록 (Multilingual Abstract)

      In this paper, we study the uniform stability of linear delayed differential equations with impulse timewindows. By means of Lyapunov functions and Razumikhin technique combined with classification discussiontechnique, the criterion of uniform stabili...

      In this paper, we study the uniform stability of linear delayed differential equations with impulse timewindows. By means of Lyapunov functions and Razumikhin technique combined with classification discussiontechnique, the criterion of uniform stability is obtained, which may be used to discuss others stability of delayeddifferential equations with impulse time windows. Two examples are given to illustrate the effectiveness of thetheoretic result.

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      참고문헌 (Reference)

      1 R. Liang, "Uniform stability theorems for delay differential equations with impulses" 326 : 62-74, 2007

      2 X. Liu, "Uniform asymptotic stability of impulsive delay differential equations" 41 (41): 903-915, 2001

      3 V. Lakshmikantham, "Theory of Impulsive Differential Equations" World Scientific 1989

      4 Junjian Huang, "Stabilization of a Memristor-based Chaotic System by Intermittent Control and Fuzzy Processing" 제어·로봇·시스템학회 11 (11): 643-647, 2013

      5 X. Liu, "Stability results for impulsive differential systems with applications to population growth models" 9 : 163-174, 1994

      6 T. Faria, "Stability resul-ts for impulsive functional differential equations wi-th infinite delay" 75 : 6570-6587, 2012

      7 X. Zhang, "Stability on nonlinear delay differential equations with impulses" 67 : 3003-3012, 2007

      8 Y. Zhang, "Stability of impulsive linear differential equations with time delay" 52 (52): 701-705, 2005

      9 Z. Luo, "Stability of impulsive func-tional differential equations via the Liapunov fun-ctional" 22 : 163-169, 2009

      10 D. Ho, "Stability of Takagi-Sugeno fuzzy delay systems with impulse" 15 (15): 784-790, 2007

      1 R. Liang, "Uniform stability theorems for delay differential equations with impulses" 326 : 62-74, 2007

      2 X. Liu, "Uniform asymptotic stability of impulsive delay differential equations" 41 (41): 903-915, 2001

      3 V. Lakshmikantham, "Theory of Impulsive Differential Equations" World Scientific 1989

      4 Junjian Huang, "Stabilization of a Memristor-based Chaotic System by Intermittent Control and Fuzzy Processing" 제어·로봇·시스템학회 11 (11): 643-647, 2013

      5 X. Liu, "Stability results for impulsive differential systems with applications to population growth models" 9 : 163-174, 1994

      6 T. Faria, "Stability resul-ts for impulsive functional differential equations wi-th infinite delay" 75 : 6570-6587, 2012

      7 X. Zhang, "Stability on nonlinear delay differential equations with impulses" 67 : 3003-3012, 2007

      8 Y. Zhang, "Stability of impulsive linear differential equations with time delay" 52 (52): 701-705, 2005

      9 Z. Luo, "Stability of impulsive func-tional differential equations via the Liapunov fun-ctional" 22 : 163-169, 2009

      10 D. Ho, "Stability of Takagi-Sugeno fuzzy delay systems with impulse" 15 (15): 784-790, 2007

      11 X. Liu, "Stability criteria for impulsive systems with time delay and unstable system matrices" 54 (54): 2288-2298, 2007

      12 C. Li, "Stability analysis of nonlinear stochastic differential delay systems under impulsive control" 374 (374): 1154-1158, 2010

      13 H. Lee, "Robust control for uncertain Takagi-Sugeno fuzzy with time-varying input delay" 127 : 302-306, 2005

      14 X. Fu, "Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems" 224 : 1-10, 2009

      15 Chunming Fu, "Partial Stability of Some Guidance Dynamic Systems with Delayed Line-of-Sight Angular Rate" 제어·로봇·시스템학회 12 (12): 1234-1244, 2014

      16 H. Li, "Output-feedback based H¥ control for vehicle suspension systems with control delay" 61 (61): 436-446, 2014

      17 Xinghua Liu, "On Exponential Stability of Neutral Delay Markovian Jump Systems with Nonlinear Perturbations and Partially Unknown Transition Rates" 제어·로봇·시스템학회 12 (12): 1-11, 2014

      18 X. Wang, "Impulsive control and synchronization of nonlinear system with impulse time window" 78 : 2837-2845, 2014

      19 T. Yang, "Impulsive control" 44 (44): 1081-1083, 1999

      20 T. Yang, "Impulsive Systems and Control: Theory and Applications" Science Publishers, Inc. 2001

      21 T. Yang, "Impulsive Control Theory" Springer Berlin 2001

      22 X. Wang, "Global exponential stability of a class of memristive neural networks with time-varying delays" 24 (24): 1707-1715, 2014

      23 Kheir Eddine Bouazza, "Global Stabilization of a Class of Delay Discrete-Time Nonlinear Systems via State and Output Feedback" 제어·로봇·시스템학회 11 (11): 1084-1094, 2013

      24 T. Faria, "General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays" 217 : 9646-9658, 2011

      25 H. Li, "Fault-tolerant control of Markovian jump stochastic systems via the augmented sliding mode observer approach" 50 : 1825-1834, 2014

      26 W. Chen, "Exponential stability of nonlinear time delay systems with delayed impulse effects" 47 (47): 1075-1083, 2011

      27 J. Zhou, "Exponential stability of impulsive delayed linear differential equations" 56 (56): 744-748, 2009

      28 X. Song, "Exponential stability of delayed and impulsive cellular neural networks with partially Lipschitz continuous activation functions" 29-30 : 80-90, 2012

      29 S. Wen, "Dynamic behaviors of memristor-based delayed recurrent networks" 23 : 815-821, 2013

      30 W. Chen, "Delayed impulsive control of Takagi-Sugeno fuzzy delay systems" 21 (21): 516-526, 2013

      31 X. He, "Codimension two bifurcation in a delayed neural network with unidirectional coupling" 14 : 1191-1202, 2013

      32 X. Liu, "Asymptotic behavior of solutions of impulsive neutral differential equations" 12 : 51-58, 1999

      33 A. Khadra, "Application of impulsive synchronization to communication security" 50 (50): 341-351, 2003

      34 H. Li, "Adaptive sliding mode control for nonlinear active suspension vehicle systems using T-S fuzzy approach" 60 (60): 3328-3338, 2013

      35 M. Sen, "A note on the stability of linear timedelay systems with impulsive inputs" 50 (50): 149-152, 2003

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      2023 평가예정 해외DB학술지평가 신청대상 (해외등재 학술지 평가)
      2020-01-01 평가 등재학술지 유지 (해외등재 학술지 평가) KCI등재
      2010-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2009-12-29 학회명변경 한글명 : 제어ㆍ로봇ㆍ시스템학회 -> 제어·로봇·시스템학회 KCI등재
      2008-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2007-10-29 학회명변경 한글명 : 제어ㆍ자동화ㆍ시스템공학회 -> 제어ㆍ로봇ㆍ시스템학회
      영문명 : The Institute Of Control, Automation, And Systems Engineers, Korea -> Institute of Control, Robotics and Systems
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      2005-01-01 평가 등재학술지 선정 (등재후보2차) KCI등재
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      2016 1.35 0.6 1.07
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.88 0.73 0.388 0.04
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