0 otherwise Problem 2. [Multiple choices: Choose, from (a)-(e), the correct desc
ID: 2291126 • Letter: 0
Question
0 otherwise Problem 2. [Multiple choices: Choose, from (a)-(e), the correct descriptions.] Consider the 3 dimentional (i.e., -3) continuous-time linear systems described by x)Ax(). For each part below, choose the correct descriptions from (a)-(e): (1) If the eigen-values of A are -3, 0, 0, then the zero state is (a)asymptotically stable; (b)not asymptotically stable; (c)stable in the sense of Lyapunov; (d)not stable in the sense of Lypunov; (e)the information provided is insufficient to determine stability in the sense of Lyapunov. (4pts total; -2 pts for each wrong selection) (2) If the eigen-values of A are -3, t2j, then the zero state is (a)asymptotically stable; (b not asymptotically stable; (c)stable in the sense of Lyapunov; (d)not stable in the sense of Lypunov; (e)the information provided is insufficient to determine stability in the sense of Lyapunov. (4pts total; -2 pts for each wrong selection) /3 are--,-_±?, then the zero state is (a)asymptotically stable; (b)not asymptotically stable; (e)stable in the sense of Lyapunov; (d)not stable in the sense of Lypunov; (e)the information provided is insufficient to determine stability in the sense of Lyapunov. (4pts total; -2 pts for each wrong selection) ES11-01 Exam 2, Page 1, Fall 2017 Instructor: HamanoExplanation / Answer
Dear user,
The solutions are
Problem 2:
(A) not stable in sense of lyapunov
(B) not stable in sense of lyapunov
(C)asymptotically stable
Problem 3:
(A) not stable in sense of lyapunov
(B)not stable in sense of lyaunov
(C)stable in sense of lyapunov.
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