We propose a method for uniform decentralized stabilitzation for a class of large-scale networks of nonlinear switched systems in lower-triangular form with unknown arbitrary switchings. In contrast to the class of networks with the same structure of interconnections that was considered in [1], the dynamics of each subsystem of our network satisfies more general conditions and its input–output maps are not necessarily right invertible, for instance, they can have dead zones. Another difference from [1] is that the current result is proved by a different approach. Instead of using a small-gain theorem in terms of ISS Lyapunov functions as in [1], we use the trajectory-based small-gain theorem for switched systems proved in [2].

我们为一类具有未知任意开关的下三角形式的非线性开关系统的大型网络提出了一种统一的分散镇定方法。与[1]中考虑的具有相同互连结构的网络类别相反，我们网络的每个子系统的动力学都满足更一般的条件，并且其输入输出映射不一定是正确可逆的，例如，它们可以有死区。与[1]的另一个区别是，当前结果是通过另一种方法证明的。而不是像[1]那样根据ISS Lyapunov函数使用小增益定理，我们对[2]中证明的交换系统使用基于轨迹的小增益定理。