Construction of Lyapunov ’ s Functions for a Class of Nonlinear Systems
Construction of Lyapunov ’ s Functions for a Class of Nonlinear Systems
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发表时间：
2006
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通讯作者：
A. Aleksandrov;A. Platonov
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作者：
A. Aleksandrov;A. Platonov
研究了一类非线性系统的绝对稳定条件。证明了所考虑的系统是绝对稳定的，只要这些系统存在特殊形式的李雅普诺夫函数。所得结果可用于复杂系统在临界情况下的稳定性分析。
The conditions of absolute stability for a certain class of nonlinear systems are investigated. It is proved that the systems considered are absolutely stable iff for these systems there exist Lyapunov’s functions of the special form. The results obtained are used for the stability analysis of complex systems in critical cases.