lyapunov stability 中文意思是什麼
lyapunov stability
解釋
李雅普諾夫穩定性-
Using lyapunov stability theory, it has been shown that the control scheme guarantees that all the variables of closed - loop system are bounded. moreover, the mean - square tracking error can be made arbitrarily small by choosing some design parameters appropriately
Lyapunov穩定性分析結果表明，本文所提出的控制器保證了閉環系統內的所有信號都是有界的，通過選擇適當的設計參數，可以使跟蹤誤差的均方根任意小。 -
By using lmi toolbox in matlab, it is easily to obtain controllers gain matrices. 2 ) based on lyapunov stability theory, the results on robust control for time - delay systems with markovian jumping parameters are extended to neutral
2 ）基於lyapunov穩定性理論，將含有markov跳躍參數的線性不確定時滯系統的魯棒控制結果推廣到含有markov跳躍參數的中立型系統中。 -
In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay
本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。 -
Another proof of the converse lyapunov stability theorem
有理標準形存在性定理的構造性證明 -
The design methods of the orpadtc, which are based on lyapunov stability and popov hyperstability, are discussed. in the chapter six, simulations are done for a few typical first order upldt and second order upldt. the simulation results prove that the orpadtc has good power in dead - time compensating and adaptive tracing when the process being controlled has terrible uncertainty and parameter perturbation, and it is easy to design
第六章對幾個典型的帶有大時滯的一階、二階過程及高階過程進行了實例設計與模擬，證明了在受控過程存在嚴重不確定性的情況下，對象參考參數自適應時滯補償器具有良好自適應跟蹤能力和時滯補償能力，並且易於設計應用。 -
The third, synchronization in unidirectionally coupled 4 - order hyperchaotic chua ' s circuits is studied. synchronization of hyperchaotic systems can be achieved using only one variable unidirectionally coupled at discrete times. we obtain the threshold of couple coefficient based on lyapunov stability theory
第三，採用單向耦合方法實現了兩個四階蔡氏超混沌電路的同步，根據lyapunov穩定性定理，得到了兩個系統達到同步時耦合系數的閾值。 -
This paper considers the ilc from an adaptive control viewpoint. two kinds of new algorithm are proposed for ilc of essential nonlinear systems, which avoid some drawbacks and restricted assumptions of traditional ilc, based on lyapunov stability theory and backstepping technique of nonlinear system
本文利用自適應理論設計迭代學習控制，基於lyapunov穩定性理論，結合本質非線性系統的backstepping設計方法，提出了兩類本質非線性系統的迭代學習控制新演算法，這些演算法克服了傳統迭代學習控制的許多缺陷，放鬆了傳統演算法的一些限制性假設。 -
So the paper combined the fuzzy logic control and recurrent neural network, and the recurrent fuzzy neural network ( rfnn ) controller is introduced into the speedsensorless vector control system. moreover, an online parameter training methodology, which is derived from the lyapunov stability theorem and gradient descent method is proposed to increase the learning capability of the rfnn. the rfnn controller has a better performance than the pi controller system ; the effectiveness of the proposed control scheme is verified by simulation results
因此論文將模糊控制和具有優越動態性能的遞歸神經網路結合起來，取長補短，提出了一種遞歸模糊神經網路控制方法，利用神經網路來實現模糊推理，可動態的調整隸屬函數的形狀、位置以及神經網路遞歸權值，並對其與pi控制器的交流調速控制系統進行了模擬比較，模擬結果表明與普通的pi控制器相比較，遞歸模糊神經網路控制器有較好的動態性能，控制器的收斂速度快、靜差小，系統在遇到參數發生變化和外部不確定性問題時魯棒性、抗擾動性有明顯的提高。 -
Based on lyapunov stability theorem and lmis approach, a control profile, including both static state feedback control and dynamic output feedback control, is presented for norm - bounded uncertain discrete - time linear systems with actuator sector nonlinearity ; 2
以線性矩陣不等式方法為帶有扇形飽和非線性執行器的范數有界時變不確定離散線性系統設計線性狀態反饋控制器和線性動態輸出反饋控制器； 2 -
Based on the existed results, this paper considers two kinds of simultaneous cases, that is time - delay and uncertainties, to get the solution of uncertain lurie time - delay system by means of lyapunov stability theory and lmi toolbox. at the same time, the robust absolute stability conditions and the design method of robust controllers of lurie direct - type and indirect - type delay systems are given
特別地，在已有文獻的基礎上，考慮實際工業過程系統中存在的時滯與不確定性情況，基於lyapunov穩定性理論，採用線性矩陣不等式這一有效的工具，分別給出lurie直接型與間接型時滯系統的魯棒絕對穩定性條件和穩定化控制器的設計方法。 -
It is necessary to design robust controllers based on the normal plants so that the controlled systems have satisfactory properties by considering the existence of uncertainties. based on lyapunov stability theory, geometry theory for nonlinear systems, dissipative theory and etc, the robust hk control for uncertain nonlinear systems and the reliable h control problem of uncertain nonlinear systems are studied, and the control laws are proposed correspondingly for several typical nonlinear systems in this paper. the robust controller design methods are presented and the proposed method is applied to design the control system of lift feedback fin stabilizer by considering the linear model, nonlinear model and coupled nonlinear model of ship motions
本文研究了不確定非線性系統的魯棒控制問題，以lyapunov穩定性理論、非線性系統幾何理論、耗散理論等為基礎，對非線性系統的魯棒h _控制、非線性系統的魯棒h _可靠控制進行了深入的研究，針對幾類典型非線性系統，提出了相應的魯棒控制方法，對于升力控制減搖鰭系統（本文中簡稱為力控鰭系統） ，考慮船舶運動的線性模型、非線性模型和非線性耦合運動模型，提出了相應的控制方法。 -
The stability of the control system is proved with lyapunov stability theory
運用李亞普諾夫穩定性理論證明了該控制系統的穩定性。 -
Based on lyapunov stability theory, sufficient conditions on the existence of robust controllers are derived, respectively
基於lyapunov穩定性理論給出了相應控制器的存在條件。 -
After a brief review of conventional nonlinear system control theory and lyapunov stability, this thesis introduces basic backstepping tools
Backstepping設計方法是近幾年興起的一種基於lyapunov穩定性理論的比較先進的非線性控制方法。 -
Now, based on t - s fuzzy model, lyapunov stability theory and linear uncertainty theory are often used to analyze the system ' s stability
目前，較多的是針對t - s模糊模型，利用lyapunov穩定性理論、線性不確定系統理論等來研究模糊系統的穩定性問題。 -
And also, a new control strategy based on lyapunov stability theory is presented in this section in order to keep the inverted pendulum stabling in large regions
並基於lyapunov的二次型穩定理論，提出了一種新的控制方案，以實現倒立擺的大范圍穩定。 -
Due to the idea of parameter - dependent lyapunov stability, the obtained robust stability condition has less conservativeness than the one based on quadratic stability
因為使用了參數依賴的李亞普諾夫穩定性思想，此魯棒穩定條件比基於二次穩定概念的穩定條件的保守性更小。 -
Based on the parameter - dependent lyapunov stability and linear matrix inequality, the sufficient condition for robust stability is derived to enable the systems with delays to be robustly stable
基於參數依賴的李亞普諾夫穩定性和線性矩陣不等式推導出使得時滯魯棒穩定系統魯棒穩定的充分條件。 -
The backstepping design idea and lyapunov stability theory is used for design the path tracking controller of the robot. the controller ’ s validity is tested by simulation and experiments
利用backstepping設計思想和lyapunov穩定性原理設計控制器來實現路徑跟蹤，並且通過模擬和實驗來驗證方法的有效性。 -
2. for a class of uncertain time - varying time - delay linear systems, which do n ' t satisfy the matching conditions, a new adaptive vsc strategy is proposed based on lyapunov stability theorem
針對一類帶有不匹配時變不確定性和時滯的線性系統，基於lyapunov穩定性定理，提出了一種新的自適應變結構控制策略。
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