Let V: U → R be a strict Lyapunov function, where U CR" is a neighborhood of a compact and invariant set I. Which of the following is not an assumption that's required to show that SRC A(I)? O O O SRCU SR = {x = R¹ | V(x) ≤ R} SR is invariant SR is compact
Let V: U → R be a strict Lyapunov function, where U CR" is a neighborhood of a compact and invariant set I. Which of the following is not an assumption that's required to show that SRC A(I)? O O O SRCU SR = {x = R¹ | V(x) ≤ R} SR is invariant SR is compact
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let V: U → R be a strict Lyapunov function, where U C R" is a neighborhood of a compact and invariant set I.
Which of the following is not an assumption that's required to show that SR C A(I)?
SR CU
SR = {x € R" | V(x) < R}
SR is invariant
SRis compact
O O O O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F899e4ad8-dcea-4ea7-afe4-59dd0f07d9e6%2Fec4d48de-015f-49ff-a445-ec2fa8c9da02%2Ffu3b46k_processed.png&w=3840&q=75)
Transcribed Image Text:Let V: U → R be a strict Lyapunov function, where U C R" is a neighborhood of a compact and invariant set I.
Which of the following is not an assumption that's required to show that SR C A(I)?
SR CU
SR = {x € R" | V(x) < R}
SR is invariant
SRis compact
O O O O
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