A system is said to be locally stable if:
A. The region S (e) is small
B. There exist a real number >0 such that || x (t0) || <=r
C. Every initial state x (t0) results in x (t) tends to zero as t tends to infinity
D. They are unstable
Answer:A
A system is said to be locally stable if:
A. The region S (e) is small B. There exist a real number >0 such that || x (t0) || <=r C. Every initial state x (t0) results in x (t) tends to zero as t tends to infinity D. They are unstable
Explanation: By the definition of Liapunov’s stability criteria a system is locally stable if the region of system is very small.