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題名 | Stability Analysis of Takagi-Sugeno Fuzzy Systems for Neural Network with Time-Varying Delays-Delayed Decomposition Approach=具時變延遲類神經網路高木.菅野模糊型系統之穩定度分析--時延分解法 |
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作者 | 劉柄麟; | 書刊名 | 建國科大理工期刊 |
卷期 | 34:2 2015.04[民104.04] |
頁次 | 頁45-67 |
分類號 | 448.942 |
關鍵詞 | 模糊系統; 類神經網路; 線性矩陣不等式; 積分不等式矩陣; 最大允許延遲時間; Fuzzy system models; Neural networks; Linear matrix inequalities; LMIs; Integral inequality approach; IIA; Maximum admissible upper bound; MAUB; |
語文 | 英文(English) |
中文摘要 | 本論文旨在針對類神經網路高木.菅野模糊型時延系統之時延相關穩定化準則提出改善之方法。本文所提方法可處理解決時間延遲微分導數小於1之限制,使快速變動之時間延遲系統能獲得較大之延遲時間下確保時間延遲系統達到好漸近穩定條件。首先提出類神經網路高木.菅野模糊型時延系統之時延相關漸近穩定度之充分條件。基於線性矩陣不等式(LMIs)求解最大允許延遲時間的問題。採用Lyapunov泛函數最佳化演算法設計迴授控制器推導出基於LMI的控制器設計方法。根據此充分條件,推導成一個凸優化問題,使用LMI工具箱求解器,可得到該系統的最大允許延遲時間(MAUB)。文中舉例驗證與現有文獻結果相比較可得較寬廣的時間延遲範圍使得系統仍為漸近穩定。 |
英文摘要 | In this paper, the stability of Takagi-Sugeno (T-S) fuzzy system for neural networks with time-varying delays is investigated. The constraint on the time-varying delay function is removed, which means that a fast time-varying delay is allowed. By developing a delay decomposition approach, the information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs) which can be solved by various optimization algorithms. Numerical examples are included to show that the proposed method is effective and can provide less conservative results. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。