摘要
研究具有状态饱和非线性的离散多时滞不确定系统的鲁棒渐近稳定性,其中时滞为有界时变函数且不确定性满足范数有界条件.利用离散Lyapunov稳定性理论,结合矩阵不等式方法,获得了系统全局鲁棒渐近稳定的时滞相关充分条件.进一步给出了当系统具有定常时滞、单时滞和无时滞以及无不确定性时的渐近稳定条件,将所得结果与已有研究结果进行比较说明.最后,通过数值算例验证了所得结果的可行性.
In this paper, the problem of asymptotic stability is investigated for a class of uncertain discrete-time systems with multi time-delays and state saturation nonlinearities. The delays are allowed to be bounded time-var- ying functions, and the uncertainties are allowed to be norm-bounded. By applying discrete-time Lyapunov stability theory and matrix inequality method, a delay-dependent sufficient condition is proposed to guarantee the global ro- bust asympto＇.ic stability of the addressed systems. Then, the asymptotic stability conditions are presented for the cases of constant delays and single delay and non-delays or non-uncertainty respectively. The comparison of our re- sult and the existing results is given. Finally, a numerical example is given to illustrate the feasibility of the pro- posed results.
出处
《哈尔滨理工大学学报》
CAS
2013年第6期108-113,共6页
Journal of Harbin University of Science and Technology
基金
国家自然科学基金(11271103)
关键词
多时滞
状态饱和
渐近稳定性
时滞相关
multi time-delay
state saturation
asymptotic stability
delay-dependent
