由一组非线性控制系统给出的切换系统的估计

2011 International Conference on Communications, Computing and Control Applications (CCCA) Pub Date : 2011-03-03 DOI:10.1109/CCCA.2011.6031531

O. Kuzmych, D. Khusainov

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引用次数: 0

摘要

研究了一类由扇形非线性控制系统描述的开关系统的特殊情况。利用李雅普诺夫函数方法，得到了切换系统解在最终时刻随解的初始状态的估计。子系统可以是稳定的也可以是不稳定的。我们使用Lurje-Postnikov型Lyapunov函数进行研究[5]，[9]，并通过对所考虑的整个区间上的初始切换系统的各个子系统的摄动组合得到最终估计。

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Estimation of switched system given by set of nonlinear control systems

We investigate a special case of switched system which are described by a set of nonlinear control systems with nonlinearity of sector type. Using Lyapunov function method we obtain the estimations of switched system solution at the final time moment depending of initial state of solution. The subsystems can be stable or unstable. We investigate using Lyapunov function of Lurje-Postnikov type [5], [9] and final estimation we obtain by composition of perturbations of the separate subsystems of initial switched system on the whole interval considered.

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2011 International Conference on Communications, Computing and Control Applications (CCCA)

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