Investigate whether the following functions (V(x)) are positive definite. [ begin{aligned} & text { (a) } V(x)=2

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Investigate whether the following functions $V(x)$ are positive definite.

\[
\begin{aligned}
& \text { (a) } V(x)=2 x_{1}^{2}+2 x_{1} x_{2}+4 x_{2}^{2}-4 x_{1} x_{3}+5 x_{3}^{2} \\
& \text { (b) } \quad V(x)=x_{1}^{2}+4 x_{1} x_{2}+5 x_{2}^{2}-6 x_{1} x_{3}-8 x_{2} x_{3}+8 x_{3}^{2}
\end{aligned}
\]

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Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

ISBN: 9781032718804

2nd Edition

Authors: Arthur G O Mutambara

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Question Posted: Mar 15, 2024 10:00 PM

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Investigate whether the following functions (V(x)) are positive definite. [ begin{aligned} & text { (a) } V(x)=2

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Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

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