The system is stable at origin if for every initial state which is sufficiently close to the origin remains near the origin for all t then the system is :
A. Asymptotically stable
B. Asymptotically stable in the large
C. Stable
D. Unstable
Answer:C
The system is stable at origin if for every initial state which is sufficiently close to the origin remains near the origin for all t then the system is :
A. Asymptotically stable B. Asymptotically stable in the large C. Stable D. Unstable
Explanation: By definition, the system is stable at origin if for every initial state which is sufficiently close to the origin remains near the origin for all t then the system is stable.