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
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Chapter2: Second-order Linear Odes
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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
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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