论文标题
稳定性分析和稳定系统过度速率
Stability analysis and stabilization of systems with hyperexponential rates
论文作者
论文摘要
通过使用显式和隐式，lyapunov函数方法，研究了动态系统的Huxerexpenential稳定性。非线性过度X级控制设计用于稳定线性系统。调整程序以LMI形式形式化。通过数字实验，观察到，所提出的过度X级控制对噪声和离散误差的敏感性不如其有限的时间类似物。在延误的情况下，它还表现出更好的性能。理论结果由数值模拟支持。
Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is designed for stabilizing linear systems. The tuning procedure is formalized in LMI form. Through numeric experiments, it is observed that the proposed hyperexponential control is less sensitive with respect to noises and discretization errors than its finite-time analog. It also demonstrates better performance in the presence of delays as well. Theoretical results are supported by numerical simulations.
