电光与控制
電光與控製
전광여공제
ELECTRONICS OPTICS & CONTROL
2015年
1期
45-47,58
,共4页
时滞系统%稳定性%区间时变时滞%时滞相关
時滯繫統%穩定性%區間時變時滯%時滯相關
시체계통%은정성%구간시변시체%시체상관
system with time delay%stability%interval time-varying delay%delay-dependent
研究了具有区间时变时滞线性不确定系统的稳定性问题。通过引入新型的Lyapunov 泛函，结合改进型的Jensen积分不等式，推导出区间时变时滞线性系统的时滞相关鲁棒稳定新判据。该方法在推导过程中没有用到模型变换及自由权矩阵方法，简化了计算上的复杂性。由于判据中充分利用了时变时滞的中值及时滞变化范围两个参数，减少了结果的保守性。数值算例表明了提出方法的有效性及优越性。
研究瞭具有區間時變時滯線性不確定繫統的穩定性問題。通過引入新型的Lyapunov 汎函，結閤改進型的Jensen積分不等式，推導齣區間時變時滯線性繫統的時滯相關魯棒穩定新判據。該方法在推導過程中沒有用到模型變換及自由權矩陣方法，簡化瞭計算上的複雜性。由于判據中充分利用瞭時變時滯的中值及時滯變化範圍兩箇參數，減少瞭結果的保守性。數值算例錶明瞭提齣方法的有效性及優越性。
연구료구유구간시변시체선성불학정계통적은정성문제。통과인입신형적Lyapunov 범함，결합개진형적Jensen적분불등식，추도출구간시변시체선성계통적시체상관로봉은정신판거。해방법재추도과정중몰유용도모형변환급자유권구진방법，간화료계산상적복잡성。유우판거중충분이용료시변시체적중치급시체변화범위량개삼수，감소료결과적보수성。수치산례표명료제출방법적유효성급우월성。
This paper is concerned with the stability of systems with interval time-varying delay .By constructing an appropriate type of Lyapunov functional and employing a new and tighter integral inequality, Jense,the improved delay-dependent stability criteria are derived .Because neither any model transformation nor free weighting matrices are employed in the theoretical derivation ,the developed stability criteria reduce the complexity of the computation .By taking full advantage of the median estimate and varying range of the delay,the conservative is also reduced .Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method .
