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本文针对带有不稳定子系统的切换非线性系统研究了系统的积分输入状念稳定性问题.应用导数不定的类Lyapunov函数得出切换非线性系统的积分输入状态稳定.导数不定的类Lyapunov函数办法比传统的导数正定的Lyapunov函数的方法更具有一般性.文中包含两种情况:当所有子系统为积分输入状态稳定时,切换非线性系统是积分输入状态稳定的;当部分子系统为非积分输入状态稳定时,本文证明了切换非线性系统的积分输入状态稳定.最后应用一个仿真例子描述了所提结果的有效性.
In this paper, we study the integral stability of the input system for switching nonlinear systems with unstable subsystems. The application of the Lyapunov-like functions with indeterminate derivatives leads to the stable state of the integral inputs of switched nonlinear systems. The Lyapunov-like functions with indeterminate derivatives The method is more general than the traditional Lyapunov function with positive definite derivative. The paper contains two cases: when all the subsystems are integral input states, switching non-linear systems is stable with integral inputs; when some subsystems are non-linear When the integral input state is stable, this paper proves that the integral input state of switched nonlinear systems is stable. Finally, a simulation example is used to describe the validity of the proposed results.