CAJ | 학술논문

本文研究了不确定T-S模糊随机时滞系统的时滞相关鲁棒稳定性问题，这里的不确定性是范数有界的。通过构造新的Lyapunov泛函和矩阵不等式引理，利用具有时滞的非线性随机系统的Lypaunov稳定性理论和自由权矩阵方法，导出了使系统鲁棒均方指数稳定的时滞相关线性矩阵不等式(LMI)条件。该判据具有较低的保守性，适用时滞变化率大于1的情形。最后通过数值例子验证了所得结果的有效性。
본문연구료불학정T-S모호수궤시체계통적시체상관로봉은정성문제，저리적불학정성시범수유계적。통과구조신적Lyapunov범함화구진불등식인리，이용구유시체적비선성수궤계통적Lypaunov은정성이론화자유권구진방법，도출료사계통로봉균방지수은정적시체상관선성구진불등식(LMI)조건。해판거구유교저적보수성，괄용시체변화솔대우1적정형。최후통과수치례자험증료소득결과적유효성。
This paper deals with the problem of robust stability for uncertain T-S fuzzy stochastic systems with time-varying delay. Parametric uncertainty is assumed to be of norm-bounded form. By means of creating a new Lyapunov function and matrix lemmas, meanwhile based on Lyapunov stability theorems of nonlinear stochastic systems with time-delays and free weighting matrix approach, some mean square exponential stability conditions with time-delays are deduced for linear matrix inequality (LMI) problems. The presented criteria are more convenient to use and applicable when the derivative of the time delay is greater than 1. Numerical results substantiate the effectiveness of the presented results.