离散时间Lure系统稳定性分析：具有斜率限制的奇单调非线性
Stability Analysis of Discrete-time Lure Systems with Slope-restricted Odd Monotonic Nonlinearities
AI总结：
本文研究了具有斜率限制的奇单调非线性离散时间Lure系统的全局渐近稳定性，提出了一种Lure-Postnikov型Lyapunov函数，通过线性矩阵不等式推导出稳定性条件，证明其比文献中的条件更保守，且通过数值示例验证了保守性显著降低。
摘要：
许多非线性动力系统可以表示为Lure系统，其由线性时不变系统与对角静态扇区有界非线性相互连接描述。本文推导了离散时间Lure系统的全局渐近稳定性条件，其中非线性具有限制斜率和/或为奇函数，这在实际应用中是常见情况。提出了一种Lure-Postnikov型Lyapunov函数，用于通过线性矩阵不等式（LMIs）推导出充分分析条件。推导出的稳定性准则被证明比文献中的准则更保守，数值示例表明保守性可以减少几个数量级。
英文摘要：
Many nonlinear dynamical systems can be written as Lure systems, which are described by a linear time-invariant system interconnected with a diagonal static sector-bounded nonlinearity. Sufficient conditions are derived for the global asymptotic stability analysis of discrete-time Lure systems in which the nonlinearities have restricted slope and/or are odd, which is the usual case in real applications. A Lure-Postnikov-type Lyapunov function is proposed that is used to derive sufficient analysis conditions in terms of linear matrix inequalities (LMIs). The derived stability critera are provably less conservative than criteria published in the literature, with numerical examples indicating that conservatism can be reduced by orders of magnitude.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
