论文标题
关于非线性反馈系统的输入输出信号的指数收敛
On the exponential convergence of input-output signals of nonlinear feedback systems
论文作者
论文摘要
本说明研究了由线性时间不变系统的反馈互连和非线性不确定性组成的离散时间非线性系统的输入输出信号的指数收敛。允许两个开环子系统都没有结合。为包括Lurye类型在内的这些不确定的反馈系统提出了基于季度的季度条件，以展示内源性输入输出信号的特性，对于线性时间流动子系统的所有初始条件，内源性输入输出信号均享有指数的收敛速率。条件是通过包括整体二次约束，定向间隙和指数权重的组合来建立的。
This note studies the exponential convergence of input-output signals of discrete-time nonlinear systems composed of a feedback interconnection of a linear time-invariant system and a nonlinear uncertainty. Both the open-loop subsystems are allowed to be unbounded. Integral-quadratic-constraint-based conditions are proposed for these uncertain feedback systems, including the Lurye type, to exhibit the property that the endogenous input-output signals enjoy an exponential convergence rate for all initial conditions of the linear time-invariant subsystem. The conditions are established via a combination of tools, including integral quadratic constraints, directed gap, and exponential weightings.
