一类多平衡点线性切换系统稳定区域的估计

摘要

We investigate the estimation of the stability region of a class of switched linear systems with multiple equilibrium points,and put forward a number of new results in this research.Using the component-wise ultimate-bound method,we estimate the stability region for a switched linear system with multi-equilibrium points when the system is switching around any switching path or around switching paths with dwell time not less than the minimum dwell time.In comparison with the existing results,the obtained estimate of the stability region is more precise and less conservative in the estimation property.Numerical simulation of an illustrative example shows the correctness and effectiveness of the proposed method.%本文研究了多平衡点线性切换系统稳定区域的估计问题,并得到了估计该类系统稳定区域的新结果.利用分量最终界法,不仅得到了多平衡点线性切换系统在任意切换路径下稳定区域的估计,而且得到了多平衡点线性切换系统在停留时间不小于其最小停留时间的任意切换路径下稳定区域的估计.与现有的结果相比,新得到的稳定区域的估计更加精确,在一定程度上减少了估计的保守性.最后,数值实例的结果验证了上述结果的正确性和有效性.