非线性互联大系统的稳定性与分散镇定

Stability of Nonlinear Large Scale Composite Systems

本文研究比较广泛的一类非线性互联大系统的稳定性与分散镇定问题。首先根据文献5的思想,给出检验这类非线性互联大系统稳定性的新准则,由于所给出的准则只与子系统的稳定性以及子系统之间的互联项有关,因此当应用该准则检验这类非线性互联大系统的稳定性时,避免了构造子系统和大系统的 Lyapunov 函数困难。此外,基于这一新的准则给出了这类非线性互联大系统可分散镇定的充分条件及分散镇定的方法。

In this paper the stability and decentralized stabilization by(Linear and/or nonlinear) state feedback for a more general class of nonllinear large scale composite systems are considered.At first,following by the works in 5,the stability criteria for this class of systems is given.Since the obtained stability criteria in this paper is only associated with the stability of the subsystems and the coupled terms among these subsystems,therefore,it is not necessary to fnid lyapunov functions of the nonlinear large scale composite and its subsystems for checking the stabilize of the large scale by these two criteria.Besides this,based on the new stability criteria,some sufficient conditions and methods to stabilize the class of the systems by(linear and/or nonlinear)decentralized state feed- back are also given.