一类非线性动力系统关于设定时间的实用稳定域估计的研究

利用函数讨论了一类非线性动力系统实用稳定域估计;给出了动力系统存在实用稳定域的条件及其针对具体的动力系统具体构造实用稳定域估计的方法;给出了系统存在实用稳定域估计及设定时间的稳定域估计的判别条件。从理论上针对一类非线性系统利用李雅谱诺夫函数和分析相结合的方法讨论系统的实用稳定域,给出稳定域的估计范围。对已有文献的结果改进,得到了更简单实用的条件,使得判定条件的适用范围更广。

Study on estimate of practical stability domain with settling time of a kind of nonlinear dynamical system

The estimate of practical stability domain with settling time τs of a kind of nonlinear dynamical system was discussed by employing Lyapunov approach,some concrete functions of the estimate of practical stability domain with settling time τs were given,which are in regard to nonlinear dynamical system.The result is simple and practical,which improved the result in the proceeding literature.