Improved Delay-Dependent Stability Criteria for Time-varying Delay Neutral Systems with Nonlinear Perturbations

改進具非線性參數擾動時延中立系統之時延相關強健穩定準則

劉柄麟(Pin-Lin Liu)

《建國科大理工期刊》 32卷1期 (2012/10) Pp. 31-54

https://doi.org/10.6995/JSECTU.201210.0031

摘要

本論文旨在針對具非線性參數擾動時延系統之時延相關穩定準則提出改善之方法。利用一個新的Lyapunov-Krasovskii泛函，結合時延分解法，積分不等式與凸優化演算法，完整討論了具非線性參數擾動時延系統之時延區間狀態，獲得了基於線性矩陣不等式的時延相關穩定的充分條件。本文方法對時變時延的導數沒有任何限制，適用於快時變時延系統。文中舉二個數值實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。

關鍵字

非線性參數擾動 ； 中立時變時延系統 ； 時延分解法 ； 線性矩陣不等式

並列摘要

This paper addresses the asymptotical stability of neutral time-varying delay systems with nonlinear perturbations. Based on the new Lyapunov-Krasovskii functional with delay decomposition approach, integral inequality approach and convex optimization algorithms, the information of the delayed plant states can be taken into full consideration, and new delay-dependent stability criteria for the system are established in terms of linear matrix inequalities (LMls). The constraint on the derivative of the time-varying delay is not required, which allows the time-delay to be a fast time-varying function. Finally, two numerical examples are given to illustrate the effectiveness and an improvement over some existing results in the literature with the proposed results.

並列關鍵字

Nonlinear perturbation ； neutral time-varying delay system ； delay decomposition approach ； linear matrix inequalities (LMIs)