一颅筋、Introduction---研究背景
1）時滯現(xiàn)象出現(xiàn)的原因凳厢、危害乎婿、廣泛
1.The existence of time delay would deteriorate the performance of system or even be the important source of instability.
? ? 時滯的存在可能會破壞系統(tǒng)性能柱衔，甚至造成不穩(wěn)定
2.Time delays are frequently encountered in many fields of science and engineering, and they are often a source of degradation in system performance or instability.
? ? 時滯現(xiàn)象頻繁出現(xiàn)在許多科學和工程的領(lǐng)域中堪唐，并且它通常是導(dǎo)致系統(tǒng)性能下降或不穩(wěn)定的原因夺刑。????
3. In both delayed control and delayed measurement, the delay is usually considered undesirable since it has the tendency to deteriorate the system performance or even destabilize the system.
????在具有延時的控制和測量中缅疟，時滯是不受待見的，因為它具有使系統(tǒng)性能惡化甚至使系統(tǒng)不穩(wěn)定的趨勢遍愿。
4.The last decade has shown an increasing research activity on time-delay and/or sampled-data systems analysis and control due to both emerging adapted theoretical tools and also practical issues in the engineering field and information technology (see Sipahi, Niculescu, Abdallah, Michiels, and Gu (2011) and Zhang, Branicky, and Phillips (2001) and references therein).
? ? 在過去的十年中存淫，由于出現(xiàn)了新的適應(yīng)性理論工具以及工程領(lǐng)域和信息技術(shù)領(lǐng)域的實際問題，因此在時延和/或采樣數(shù)據(jù)系統(tǒng)分析和控制方面的研究活動不斷增加（請參見Sipahi沼填，Niculescu桅咆，Abdallah，Michiels 坞笙，以及Gu（2011）和Zhang岩饼，Branicky和Phillips（2001）以及其中的參考文獻）荚虚。
5.Recently, there has been rapidly growing interest in the stability of the system with time-varying delays, which has strong background in engineering ?eld, such as a networked control system, see? for example [1,2].
最近，時滯系統(tǒng)的穩(wěn)定性問題引起了廣泛的關(guān)注籍茧，這在工程領(lǐng)域有很強的背景版述，如網(wǎng)絡(luò)控制系統(tǒng)
6.The derived delay-dependent criteria based on the LKF approach are usually expressed in forms of linear matrix inequalities (LMIs), whose conservatism is often judged by the upper bound of the time-varying delay.
2）描述L-K泛函的
1.The method of Lyapunov-Krasovskii function (LKF) is one of the most popular approaches. In LKF, some useful terms are not ignored but considered, which makes the result much less conservative.
????LF泛函方法是重要的方法∷逗考慮一些被忽略的項院水，能夠降低保守性
3）研究的必要性
1. Delays can cause oscillations or bad performance in a system. This makes it necessary to study stability of time-delayed systems. In addition to stability, for some applications, it may be crucial to determine the convergence rate or the transient decaying rate of system states.
? ? 時滯會產(chǎn)生差的系統(tǒng)性能。研究時滯系統(tǒng)是必要的简十。除了穩(wěn)定性以外，對于某些應(yīng)用而言撬腾，確定系統(tǒng)狀態(tài)的收斂速率或瞬態(tài)衰減速率可能至關(guān)重要螟蝙。
二、Introduction---介紹他人工作
1）介紹研究背景
1. Cross-coupling control idea is widely used to design the synchronization? controller,?which? can? be? seen? in literatures[2–8,11,13–17,20,22].
????交叉控制思想已經(jīng)廣泛被用于設(shè)計同步控制器民傻，如文獻[2-8]
2. Steel rolling mill control?is an example of measurement delay,which is found in Sbarbaro-Hofer [240].
????軋機控制是測量延遲的一個例子胰默，可以在Sbarbaro Hofer[240]中找到。
3.?Analysis of the delayed resonator?as well as?its applications?are reported?in [216, 217, 63, 125].
????[216漓踢，217牵署，63，125]對延遲諧振器及其應(yīng)用進行了的分析喧半。
4.?For example, the finite dimensional systems could represent a dynamic controller for a system modeled by a PDE (see d’Andréa Novel, Boustany, Conrad, and Rao (1994), Krstic (2009) and references therein).
????例如奴迅，有限維系統(tǒng)可以代表由PDE建模的系統(tǒng)的動態(tài)控制器（請參見d'AndréaNovel，Boustany挺据，Conrad和Rao（1994）取具，Krstic（2009）及其參考）。
5. Instead, a system of ordinary differential equations (ODEs) can model a component coupled to a phenomenon described by PDEs as in Daafouz, Tucsnak, and Valein (2014).
? ??相反扁耐，如Daafouz暇检，Tucsnak和Valein（2014）所述，常微分方程組（ODE）可以對與PDE描述的現(xiàn)象耦合的組件進行建模婉称。
6. In the past few decades, fruitful results have been obtained for the robust stability of uncertain systems with time-varying delays by using the LKF approach.
? ? 過去幾十年块仆，時滯不確定系統(tǒng)的魯棒穩(wěn)定性已經(jīng)取得豐碩研究成果，通過使用LKF方法
7.The core idea behind an event-triggered control is that the update of control commands is only executed after the occurrence of an event rather than the lapse of time in a periodic fashion
2）介紹現(xiàn)有的具體工作
注意：介紹具體的現(xiàn)有研究工作王暗，不是簡單的堆疊悔据，需要有層次，邏輯瘫筐，目的蜜暑。簡單的說，要通過現(xiàn)有的結(jié)果策肝，凸顯出研究的必要性和重要性肛捍∫啵基本上可以采取總—分—總的結(jié)構(gòu)，
????總：研究的主要方向拙毫，思路依许，方法
? ? 分：針對不同的方向，列舉參考文獻缀蹄；注意不應(yīng)隨意列舉峭跳，要有代表性，并且對文章有所點評缺前，指出不足或優(yōu)點蛀醉。這部分的目的仍然是要突出? ? ? ? ? ? ?自己文章的優(yōu)越性。
? ? 總：綜上所述衅码，本文研究的目的是為了解決現(xiàn)有文獻中的哪些不足
2.1）兩種保守性來源
1. The time domain method based on Lyapunov stability theory is abroad exploited. Among some inequality-based stability conditions, the linear matrix inequality (LMI) approach becomes a powerful and popular means to tackle the stability issues of power systems with? time-varying delays (see [4], [6], and [9]–[12]).
????基于Lyapunov穩(wěn)定理論的時域方法廣泛研究拯刁。一些基于不等式的穩(wěn)定性條件中，線性矩陣不等式的方法是解決具有時變時滯電力系統(tǒng)穩(wěn)定問題的有效工具
2. To handle the time-varying and random delays, the time domain indirect methods based on Lyapunov stability theory and linear matrix inequality techniques (LMIs) have been proposed as an effective method to obtain approximate value of the delay margin [13].
????為了處理時變時滯和隨機時滯逝段，基于Lyapunov穩(wěn)定理論的時域直接方法和線性矩陣不等式技術(shù)已經(jīng)成為獲得時滯裕度近似值的一個有效方法
3. In order to diminish the conservatism for the stability conditions of time-varying delay systems, many approaches were developed. The main efforts have been focused on two aspects: one is the techniques of constructing L–K functional, such as delay-division functional, functional with matrices dependent on the time delays [13], functional including the ones with triple-integral terms [14], and quadratic terms which is multiplied by a higher degree scalar function [15].The other is the analyzing methods for estimating the derivatives of L–K functionals with respect to time, such as improved majorization technique, free weighting matrix method [16], integral inequality including Jensen inequality [11], Wirtinger inequality [17], auxiliary function-based integral inequality [18],? and?convex combination ideas incorporating linear convex analysis [19], reciprocal convex technique [20], and quadratic convex approach [21].
????許多方法被用來減少時變時滯系統(tǒng)穩(wěn)定判據(jù)的保守性垛玻。主要工作集中在兩個方面：一是L-K泛函的構(gòu)建，如：時滯分割函數(shù)奶躯，其函數(shù)矩陣決于時滯[13]帚桩，具有三重積分項的函數(shù)[14]，和高階標量函數(shù)相乘的二次項[15]嘹黔。另一方面是估計L-K泛函時間導(dǎo)數(shù)的分析方法账嚎，如：改進的專業(yè)化技術(shù)，自由加權(quán)矩陣方法[16]参淹，Jensen不等式[11]醉锄，Wirtinger不等式[17]，基于輔助函數(shù)的積分不等式[18]以及結(jié)合線性凸分析的凸組合思想[19] 浙值，倒凸技術(shù)[20]和二次凸方法[21]恳不。
4. The last decade has seen a tremendous emergence of research devoted to the construction of Lyapunov–Krasovskii functionals which aims at reducing the inherent conservatism of this approach.
? ? 過去10年中，大量研究致力于構(gòu)造L-K泛函开呐，旨在減少固有保守性
4.1?Apart the choice of the functional, an important source of conservatism relies also on the way to bound some cross terms arisen when manipulating the derivative of the Lyapunov–Krasovskii functional.
? ? 除了泛函的選擇烟勋，保守性的另一個來源是處理L-K泛函導(dǎo)數(shù)時產(chǎn)生的交叉項
2.2）每個人的工作
1. Zhang et al. [1] have developed chaotic speed synchronization controller for multiple induction motors by using stator ?ux regulation.
xx[1]利用定子磁通量調(diào)節(jié)技術(shù)開發(fā)了用于多個感應(yīng)電動機的混沌速度同步控制器。
2.Starting from a semi-group modeling of the PDEs, the authors of Gahlawat and Peet (2017) construct a very general Lyapunov functional whose parameters are optimized via a sum of square procedure (see also Ahmadi, Valmorbida, & Papachristodoulou, 2016).
? ? 起始于PDEs的半群模型筐付，(2017)中的作者構(gòu)建了一個非常一般化的Lyapunov 泛函卵惦，其參數(shù)通過平方和流程優(yōu)化
三、結(jié)論
1. In combination with a simple choice of Lyapunov–Krasovskii functionals, this inequality leads to new stability criteria for linear time-delay and sampled-data systems.
? ??結(jié)合簡單選擇的Lyapunov–Krasovskii函數(shù)瓦戚，這種不等式能夠得到線性時滯和采樣數(shù)據(jù)系統(tǒng)的新穩(wěn)定性標準沮尿。
四、短語
Introduction and Remark
1. 在現(xiàn)有文獻中? ? ?reported in the literature
2. 近年來/多年? ? ? ? in the last decade?
3.研究結(jié)果被推廣? The result of this study can be generalized for…??
4.?本文旨在討論? ? ? It is the aim(intend, purpose) of this paper to discuss (present, describe)? ?
Conclusion and Simulation
5. 已經(jīng)得到? ? ? ? ? ? ?have concluded, gained, obtained, yielded, arrived at, generated, acquired, achieved
6. 結(jié)果表明? ? ? ? ? ? ?This result(fact, demonstration, illustration, classification, comparison, analyses) gives (shows)?
7.公式是基于? ? ? ? ? The formulas is derived for … according to …?
五、Cover litter
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