The system is unstable for:
A. W (x)>0; x not equal to zero
B. W (0) =0
C. W (x) has continuous partial derivative with respect to all components of x
D. All of the mentioned
Answer:D
The system is unstable for:
A. W (x)>0; x not equal to zero B. W (0) =0 C. W (x) has continuous partial derivative with respect to all components of x D. All of the mentioned
Explanation: It requires much ingenuity of devise a suitable W function to devise a Liapunov function V. In stability analysis of nonlinear systems, it is valuable to establish conditions for which the system is unstable.