Math Problem Statement
For the function 𝐹(𝑠) = 𝑠 4 + 𝐾𝑠 3 + (𝐾 + 4)𝑠 2 + (𝐾 + 3)𝑠 + 4 = 0, find the real value of 𝐾 so that the system is just oscillatory. Using routh's criteria
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial equations
Routh-Hurwitz criterion
Roots of polynomials
Formulas
Quadratic formula
Theorems
Routh-Hurwitz criterion
Suitable Grade Level
Advanced undergraduate level
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