Robust guaranteed cost control for time‐delay fractional‐order neural networks systems

Thuan Mai Viet; Huong Dinh Cong

摘要

Summary >In this paper, we investigate the problem of guaranteed cost control of uncertain fractional‐order neural networks systems with time delays. By employing the Lyapunov‐Razumikhin theorem, a sufficient condition for designing a state‐feedback controller which makes the closed‐loop system asymptotically stable and guarantees an adequate cost level of performance is derived in terms of bilinear matrix inequalities. Two numerical examples are given to show the effectiveness of the obtained results. </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 Type =“Main”XML：Lang =“EN”XML：ID =“OCA2497-ABS-ABS-0001”> <标题类型=“main”>摘要</ title> 在本文中，我们调查了随着时间延迟的不确定分数阶神经网络系统的保证成本控制问题。通过采用Lyapunov-Razumikhin定理，一种用于设计一种状态反馈控制器的充分条件，该控制器使闭环系统渐近稳定并保证足够的成本水平的性能是在双线性矩阵不等式方面推导出来的。给出了两个数值例子来显示所得结果的有效性。</ p> </摘要> </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-27675/'>《Optimal Control Applications and Methods》</a> <b style="margin: 0 2px;">|</b><span>2019年第4期</span><b style="margin: 0 2px;">|</b><span>共13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=Thuan Mai Viet&option=202" target="_blank" rel="nofollow">Thuan Mai Viet;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Huong Dinh Cong&option=202" target="_blank" rel="nofollow">Huong Dinh Cong;</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 for Management of Science and Technology DevelopmentTon Duc Thang UniversityHo Chi Minh City Vietnam;</p> <p>Department of MathematicsQuynhon UniversityBinhdinh Vietnam;</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/1147.html" title="应用数学">应用数学;</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=asymptotically stable&option=203" rel="nofollow">asymptotically stable;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=bilinear matrix inequalities&option=203" rel="nofollow">bilinear matrix inequalities;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=fractional‐order neural networks&option=203" rel="nofollow">fractional‐order neural networks;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=guaranteed cost control&option=203" rel="nofollow">guaranteed cost control;</a> </p> <div class="translation"> 机译：渐近稳定;双线性矩阵不等式;分数阶神经网络;保证成本控制; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704024160867.html">Robust guaranteed cost control for time‐delay fractional‐order neural networks systems</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Thuan Mai Viet&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Thuan Mai Viet,</a> <a 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