对连续时间线性定常系统，若非奇异矩阵A满足，则原点平衡状态x=0为大范围渐近稳定。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/e8edfb495d504007bd2331aa1c44eeb9.png
举一反三
- 状态空间原点 是系统唯一平衡状态是连续系统大范围渐近稳定的必要条件。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/4872796be7c6477195089f3bc234accb.png
- 给定一个连续时间线性时不变系统，已知，<img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/bdfabdb79f554a658d36ec905432ec8b.png" />,输入为单位阶跃函数，则状态响应为（）。 A: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/2064d85499a24636b401e8009542e903.png" /> B: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/b1b274bff09b4481b761a6aa2281fff2.png" /> C: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/5cc7424992b644e49f5b93aa85e59b8a.png" /> D: <img src="http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/cb648b20892848869052d705c0e68156.png" />
- 已知状态转移矩阵为，则系统矩阵A为（）。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/d287647f42e94b10aa4f5c39483a673a.png
- 已知系统状态转移矩阵为，则A矩阵为（）。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/9512e6e26a864939851722ca49c9b247.png
- 给定一个连续时间线性时不变系统，已知 ,则状态响应为（ ）。http://image.zhihuishu.com/zhs/onlineexam/ueditor/201902/351e8b6b9ece40248386930d4c25431a.png