摘要
研究了变时滞退化Lurie控制系统的绝对稳定性问题.基于Lyapunov稳定性理论,利用线性矩阵不等式方法给出了系统绝对稳定的判别准则.讨论了变时滞退化Lurie直接控制系统和间接控制系统的绝对稳定性,得到绝对稳定性的充分条件仅依赖于时滞导数的大小,且时滞可以是无界函数:最后给出了实例说明本文结果的有效性.
In this paper, we consider the absolute stability for singular Lurie control systems with time-varying delay. Based on Lyapunov stability theory and linear matrix inequalities, absolute stability criteria are derived. The absolute stability for singular Lurie type direct control systems and indirect control systems with time-varying delay is discussed respectively. The result depends on the size of delay derivative and the delay can be unbound functions. Finally, an example indicates the effectiveness of the results.
出处
《数学研究》
CSCD
2012年第2期192-197,共6页
Journal of Mathematical Study
基金
国家自然科学基金项目(11071001)
高校博士点专项科研基金(20093401110001)
安徽省高校重大项目(KJ2010ZD0)
