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GATE 2024 Control Systems Foundation Quiz 70

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Question 1

If , then all the roots of the equation are in the left half of s-plane, provided that

Question 2

The characteristic equation of a system is , the value of ‘k’, such that the characteristic equation has pair of complex conjugate roots, whose real part is –1.5, is ____ [Nearest integer]

Question 3

A system with characteristic polynomial  is

Question 4

The respective number of left hand, right hand and Jω axis roots of the equation  are _________

Question 5

The characteristic equation of a system is s(s2 + 6s+ 13) + k = 0, the value of ‘k’, such that the characteristic equation has pair of complex conjugate roots, whose real part is –1, is
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May 22ESE & GATE EC