论文标题
开关非线性系统的另一个稳定条件
Yet another stability condition for switched nonlinear systems
论文作者
论文摘要
本文介绍了连续定时开关非线性系统的输入/输出到状态稳定性(IOSS)。给定一个可能包含不稳定动态的系统家族,以及子系统和可接收的居住时间之间对可允许的开关的一组限制,我们确定了一类切换信号,这些信号遵守这些限制并保留了所得开关系统的稳定性。我们分析的主要设备是多个lyapunov样函数。在没有输出(resp。,也没有输入)时,在预先指定的转换信号的限制下,开关系统的输入到州稳定性(ISS)和全球渐近稳定性(气体)下降。
This paper deals with input/output-to-state stability (IOSS) of continuous-time switched nonlinear systems. Given a family of systems, possibly containing unstable dynamics, and a set of restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems, we identify a class of switching signals that obeys these restrictions and preserves stability of the resulting switched system. The primary apparatus for our analysis is multiple Lyapunov-like functions. Input-to-state stability (ISS) and global asymptotic stability (GAS) of switched systems under pre-specified restrictions on switching signals fall as special cases of our results when no outputs (resp., also inputs) are considered.