lyapunov function 中文意思是什麼
lyapunov function
解釋
李雅普諾夫函數-
A dynamical system is built which is satisfied to lyapunov function whose energy function is penalty function in augmented lagrange multiplier method. the dynamical system is global stable, and its stable solution is the optimization solution of sub - problem in augmented lagrange multiplier method according to lasalle invariance principle. finally a complete optimization algorithm is developed
針對這種工業過程，本文基於一個lqr的性能指標（本性能指標和衰減系數和自然頻率密切相關） ，提出應用本文提出的mmlaax優化演算法，對不確定工業過程進行魯棒pto控制器的設計，取得令人滿意的效果。 -
This paper consists of three parts : we first consider the non - autonomous predator - prey system with both beddirigton - deangelis functional response and dispersion. by using comparison theorem of differential equation, we study the permanance of the system. after that, by constructing suitable lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system
本文研究三方面的內容：第一部分考慮具有擴散和beddington ? deangelis功能反應的捕食-食餌系統，利用微分方程比較原理得到該系統一致持續生存的條件；通過構造適當的lyapunov函數得到了該系統存在全局漸近穩定概周期解的充分條件。 -
A new kind of generalized energy is proposed as the lyapunov function, and thereby resulting in a new criterion of generalized nonlinear symmetric stability. it shows that not only must the dissipative coefficient be greater than a certain critical value but the initial disturbance amplitude must be synchronously smaller than another marginal value as well
從含摩擦耗散的f平面上boussinesq近似下的非線性方程組出發，提出了一種新的廣義能量作為lyapunov函數，導得了一種新的非線性對稱穩定性判據：即不僅耗散系數大於某一臨界值而且同時初始擾動振幅小於另一臨界值。 -
In theorem 3. 3. 5, the derivative of lyapunov function along trajectories of system ( 1 ) does n ' t need to be required to be negative definite, which is different from functional differential systems
在定理3 3石中， lyapunov函數沿系統）的解軌線的導數在iezumikhin型條件下不再局限於常負，這一點不同於泛函微分系統 -
Utilizing control lyapunov function, the position control and trajectory control law are designed for the robot. using matlab and simulink, simulation results are provided to show the efficacy of the kalman filter and controllers. also, multi - sensor data fusion, balancing control, robustness control and velocity tracking experiments are conducted to ensure the validity and efficacy
利用matlab及simulink對上述濾波器、控制器進行模擬，並通過兩輪自平衡機器人系統實驗平臺進行數據融合、平衡控制、魯棒性、速度跟蹤實驗，獲得了期望的平衡與速度跟蹤性能，驗證了數據融合演算法和相應控制器的正確性與有效性。 -
The growth of the both species is of logistic naluf. the mature species - y preys on the mature - x. by using the lyapunov function we obtain the - conditions for globally asymptotic stablility of positive equilibria without harvesting. conditions for global asymptotic stablility of four positive equilibria with harvesting and the threhold of hai vi - sting mature population
但從目前已知的文獻來看，對于兩個種群同時具有年齡階段結構，且同時對兩個種群進行開發的結果較少，本文通過構逅lyapunov函數，得到了當捕獲率不為零時上述模型存在一個全局漸近穩定的正平衡點的充分條件，也就是說，在一定條件下，種群兄。 -
Firstly, based on a modified lyapunov function and the approximation capability of the first type fuzzy systems, two new design schemes of decentralized adaptive fuzzy controller for two class of similar multivariable nonlinear continuous systems with a triangular matrix function control structure is proposed in this paper, respectively
本文首先對兩類結構相似的具有下三角形矩陣函數控制增益的多變量非線性連續系統，基於一種修改的李亞普諾夫函數，並利用第一類模糊系統（即具有線性可調參數的模糊系統）的逼近能力，分別提出一種分散自適應模糊控制器設計的方案。 -
The scalar lyapunov function approach and vector lyapunov function approach of stability for large - scale systems are analyzed. and it is pointed out that the restriction of these approaches are only suited for large - scale systems with week coupling among subsystems
對大系統穩定性的標量lyapunov函數法和向量lyapunov函數法作了分析，指出這些方法只適用於子系統間具有弱耦合的大系統的局限性。 -
Sometimes, we can not choose a proper lyapunov function that satifies theory ' s conditions, but we can consider its perturbed systems and can use sevsral lyapunov functions to study the systems
有時，我們不能選取到一個恰當的lyapunov函數滿足定理的條件來直接判斷系統的穩定性，但是，我們可以考慮其攝動系統以及採用多個lyapunov函數來解決問題 -
We also apply lyapunov function to evaluate the attraction region of stable fixed point which corresponds to running region of the power system, we give the boundary of stability region by means of article [ 8 ], finally, the numerical simulate results verify the theoretical analysis
本文還用lyapunov函數對穩定域進行了估計，給出穩定平衡點的吸引域，這相當于電力系統的穩定運行區域。並且用文[ 8 ]提供的方法，給出穩定區域的邊界。最後，本文用模擬算例驗證說明理論分析結果。 -
The robust stability can be verified by means of the feasibility of a set of lmis described only in terms of the vertices of the polytopic domain. the approach is less conservative than quadratic stability by using a parameter - dependent lyapunov function and extends the results of the related references. 4
對具有多邊形不確定性的不確定系統建立魯棒區域穩定的lmi充分條件，給出的lmi條件可解則二次穩定情形必可解，故比二次穩定有較少的保守性，推廣有關文獻的結果。 -
A sufficient condition of quadratic stability for the impulsive and switched systems is given with a switching law by way of convex combination and single lyapunov function
在有限個備選狀態反饋控制器的條件下，利用凸組合技術和李雅普諾夫函數等方法，給出脈沖切換線性廣義系統二次穩定的充分條件及切換律的設計。 -
( 2 ) for linear systems with time - varying delays both in state and control, and subject to norm - bounded parameter uncertainties, the problems of robust stabilization and robust h control are studied and delay independent results are derived by constructing proper lyapunov function to deal with the time - delay, also by using riccati equations method and inequalities transformations to deal with the uncertainties. according to the transform function of the system, frequency domain method and time domain method are combined together to analyze the robust h control problem of the uncertain time - delay system
（ 2 ）研究了一類狀態和控制同時具有時變時滯以及參數時變有界不確定性系統的時滯無關的魯棒鎮定及h控制問題，採用把時滯因素和不確定因素分開處理的思路，通過構造適當形式的lyapunov函數來處理時滯，採用不等式變換及riccati方程方法來處理不確定性，採用頻域與時域相結合的方法根據系統的傳遞函數分析時滯不確定系統的魯棒h控制問題。 -
Then a higher order lyapunov matrix equation can be transformed into some lower order matrix equations with unidirection coupling by using scalar lyapunov function approach
從而，利用標量lyapunov函數將高階矩陣lyapunov方程化為若干個單向解耦的低階矩陣方程。 -
Finally, the closed loop control strategy through nonlinear states feedback is designed by a lyapunov function for the averaged system and realize the position control of the non - holonomic robot. the simulation results show that the open - loop control method based on neural network and the feedback control method of the position are effective
模擬結果表明本文設計的基於神經網路的位置開環控制方法及針對簡化哈爾濱工程大學博士學位論文後的平均系統設計的基於李亞普諾夫函數方法的非驅動臂任意位置臂環控制是非常有效的。 -
The lyapunov function is used to analyze the convergence of the general learning rule, and it is proved in theory that the general learning rule has the inherent factor which adjusts the coefficient values to gain the minimum error
通過理論推導，用李雅普諾夫函數分析和驗證通用參數學習規則的學習收斂性，揭示參數學習演算法朝最小誤差方向調整參數的內在因素。 -
A lyapunov function is established for the global stability analysis
其次是基於進化計算的演算法。 -
In chapter 2, the almost periodic lotka - volterra model with m - predators and n - preys is considered. by constructing suitable lyapunov function, some sufficient conditions are obtained for the existence and global attractivity of a unique positive almost periodic solution of this model. our results generalize those ones of [ 18, 19, 23 26 ]
第二章考慮了一個含有m個捕食者種群和n個被捕食者種群的概周期lotka volterra生態模型通過構造適當的lyapunov函數，得到了該系統存在唯一全局吸引概周期解的一些充分條件，推廣和改進了文獻[ 18 ， 19 ， 23 - 26 ]的結果。 -
Starting from a two - layer nonlinear quasi - geostrophic baroclinic vorticity equation containing ekman friction, a new generalized energy is proposed to act as lyapunov function and thus a new criterion of nonlinear baroclinic subcritical instability containing two inequalities is obtained
從含ekman摩擦的二層非線性準地轉斜壓渦度方程出發，提出了一種新的廣義能量作為lyapunov函數，導出了非線性斜壓亞臨界穩定性判據。該判據含有兩個不等式： （ 1 ） -
Here these stability results do not require a lyapunov function to decrease along trajectories of the system, and we also do not give conditions on continuous portion or discrete portion of the systems respectively, but we can give mixing conditions on them to ensure that it does n ' t increase quickly
本文所用的lyapunov直接方法不同於以往的常規方法，主要表現在所找的lyapunov函數不再局限於沿系統軌線單調遞減，也不再局限於對離散或連續部分分別設置條件，而是對其離散和連續部分設置混合條件以保證其不能增長太快
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