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Stabilization of stochastic coupled systems with Markovian switching via feedback control based on discrete‐time state observations

机译:基于离散时间态观测,通过反馈控制通过反馈控制的随机耦合系统稳定

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Summary xml:id="rnc3867-para-0001"> This study investigates the stabilization issue of stochastic coupled systems with Markovian switching via feedback control. A state feedback controller based on the discrete‐time observations is applied for the stabilization purpose. By making use of the graph theory and the Lyapunov method, we establish both Lyapunov‐ and coefficient‐type sufficient criteria to guarantee the stabilization in the sense of <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:rnc:media:rnc3867:rnc3867-math-0001" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/rnc3867-math-0001.png" overflow="scroll"> <mat:msub> <mat:mi>H</mat:mi> <mat:mi>∞</mat:mi> </mat:msub> </mat:math> stability, and then, we further develop the mean‐square asymptotical stability. In particular, the upper bound of the duration between 2 consecutive state observations is well formulated. Applications to a concrete stabilization problem of stochastic coupled oscillators with Markovian switching and some numerical analyses are presented to illustrate and to demonstrate the easy verifiability, effectivity, and efficiency of our theoretical findings. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译:</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”xml:id =“rnc3867-abs-0001”xml:lang =“en”> <title type =“main” >摘要</ title> XML:ID =“RNC3867-PARA-0001”>本研究通过反馈控制调查了随着Markovian切换的随机耦合系统的稳定问题。基于离散时间观察的状态反馈控制器用于稳定目的。通过利用图形理论和Lyapunov方法,我们建立了Lyapunov - 和系数类型的足够标准,以保证在<mat:math xmlns:mat =“http://www.w3.org/中的稳定1998 / math / mathml“display =”内联“altimg =”urn:X-Wiley:RNC:媒体:RNC3867:RNC3867-Math-0001“XMLNS:Wiley =”http://www.wiley.com/namespaces/wiley / Wiley“Wiley:Location =”等式/ RNC3867-Math-0001.png“overflow =”滚动“> <mat:msub> <mat:mi> h </ mat:mi> <mat:mi>∞</ mat :mi> </ mat:msub> </ mat:数学>稳定性,然后,我们进一步发展了平均方形的渐近稳定性。特别地,持续时间在2个连续状态观察之间的持续的上限是合理的。提出了在Markovian切换的随机耦合振荡器的具体稳定问题和一些数值分析中的应用,以说明和展示我们理论发现的简便,有效性和效率。 </ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-21736/'>《International Journal of Robust and Nonlinear Control》</a> <b style="margin: 0 2px;">|</b><span>2018年第1期</span><b style="margin: 0 2px;">|</b><span>共19页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wu Yongbao&option=202" target="_blank" rel="nofollow">Wu Yongbao;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Yan Shihan&option=202" target="_blank" rel="nofollow">Yan Shihan;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fan Meng&option=202" target="_blank" rel="nofollow">Fan Meng;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Li Wenxue&option=202" target="_blank" rel="nofollow">Li Wenxue;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of MathematicsHarbin Institute of Technology (Weihai)Weihai 264209 China;</p> <p>School of Mathematics and StatisticsNortheast Normal UniversityChangchun 130024 Jilin China;</p> <p>School of Mathematics and StatisticsNortheast Normal UniversityChangchun 130024 Jilin China;</p> <p>Department of MathematicsHarbin Institute of Technology (Weihai)Weihai 264209 China;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/7742.html" title="自动化系统">自动化系统;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=discrete‐time state&option=203" rel="nofollow">discrete‐time state;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=feedback control&option=203" rel="nofollow">feedback control;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Markovian switching&option=203" rel="nofollow">Markovian switching;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=stabilization&option=203" rel="nofollow">stabilization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=stochastic coupled systems&option=203" rel="nofollow">stochastic coupled systems;</a> </p> <div class="translation"> 机译:离散时间状态;反馈控制;马尔可夫切换;稳定化;随机耦合系统; 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A. </a> <span>1994</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译:线性离散时间系统的半全局镇定受输入饱和度的线性反馈:基于aRE的方法</span> </p> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-chongqing-institute -technology_thesis/0201276693444.html">基于离散时间观测带有马尔可夫切换的随机网络系统的反馈控制</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=叶志勇1&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 叶志勇1</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=王泽权1&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,王泽权1</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=唐朝君1&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,唐朝君1</a> <span> <a href="/journal-cn-55209/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 重庆理工大学学报 </a> </span> <span> . 2019</span><span>,第008期</span> </span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-chongqing-university-technology-social-science_thesis/0201275497724.html">基于离散时间观测带有马尔可夫切换的随机网络系统的反馈控制</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=叶志勇&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 叶志勇</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=王泽权&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,王泽权</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=唐朝君&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,唐朝君</a> <span> <a href="/journal-cn-7415/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 重庆理工大学学报(自然科学版) </a> </span> <span> . 2019</span><span>,第008期</span> </span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/academic-journal-cn_control-theory-applications_thesis/0201298500727.html">随机开放量子系统的纯态开关反馈控制</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=董智翔&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 董智翔</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=丛爽&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,丛爽</a> <span> <a href="/journal-cn-8917/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 控制理论与应用 </a> </span> <span> . 2022</span><span>,第1期</span> </span> </div> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/academic-journal-cn_machine-tool-hydraulics_thesis/0201286806799.html">基于模态解耦-状态反馈控制的磁悬浮铣削系统稳定性研究</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=乔晓利&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 乔晓利</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=傅佳伟&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,傅佳伟</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=祝长生&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,祝长生</a> <span> <a href="/journal-cn-12125/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 机床与液压 </a> </span> <span> . 2021</span><span>,第001期</span> </span> </div> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-zhengzhou-university-engineering-science_thesis/020128312505.html">基于波方程边界反馈控制系统稳定性的谱分析</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=贾军国&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 贾军国</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=郭同德&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,郭同德</a> <span> <a href="/journal-cn-7440/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 郑州大学学报(工学版) </a> </span> <span> . 2005</span><span>,第003期</span> </span> </div> </li> <li> <div> <b>6. </b><a class="enjiyixqcontent" href="/academic-conference-cn_meeting-6294_thesis/020221653324.html">基于干扰观测器的虚拟手术力反馈控制研究</a> <b>[C]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Hu Zhi&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . Hu Zhi</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=胡陟&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,胡陟</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Cai Ping&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,Cai Ping</a> <span> <a href="/conference-cn-6294/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 第二十七届中国(天津)2013’IT、网络、信息技术、电子、仪器仪表创新学术会议 </a> <span> <span> . 2013</span> </span> </div> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/academic-degree-domestic_mphd_thesis/020316247041.html">基于离散状态观测值反馈控制随机切换过程的稳定性</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=王晓辉&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 王晓辉</a> <span> . 2020</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/06120103448866.html">基于离散时间观测状态的离散反馈控制器设计方法、设备及存储介质</a> <b>[P]</b> . <span> 中国专利: CN110703600A </span> <span> . 2020-01-17</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/061204345629.html">基于非线性扩张状态观测器的主动悬挂输出反馈控制方法</a> <b>[P]</b> . <span> 中国专利: CN110597063B </span> <span> . 2021.04.16</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130434135944.html">Charging capacitor charging device for operation of discharge lamp, has controller calculating switching time of switch for observation of reference values in real time, and controlling switch to calculated switching time for switching</a> <b>[P]</b> . <span> 外国专利: <!-- 德国专利: --> DE102005045569A1 </span> <span> . 2006-12-07</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译:用于放电灯工作的充电电容器充电装置,具有控制器,该控制器计算开关的切换时间以实时观察参考值,并且控制开关至计算出的开关时间以进行切换 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130470074424.html">Indirectly controlled switching system with time division junctures coupled over time division stages, in particular telephone switching system</a> <b>[P]</b> . <span> 外国专利: <!-- 欧洲知识产权局专利: --> EP0006132B2 </span> <span> . 1987-08-26</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译:在时分阶段耦合时分接合点的间接控制交换系统,特别是电话交换系统 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130476467841.html">Indirectly controlled switching system with time division junctures coupled over time division stages, in particular telephone switching system</a> <b>[P]</b> . <span> 外国专利: <!-- 欧洲知识产权局专利: --> EP0006132B1 </span> <span> . 1982-05-12</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译:在时分阶段耦合时分接合点的间接控制交换系统,特别是电话交换系统 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704023067406','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" style="display: none"> <div class="journal-sub"> <h2>期刊订阅</h2> <img src="https://cdn.zhangqiaokeyan.com/img/loginclose.png" alt="" onclick="$('.journalsub-pop-up').hide()"> <p class="pardon">抱歉,该期刊暂不可订阅,敬请期待!</p> 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