- #1

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H(s) = 1/(e^s + 10)

This system has both poles and zeros at infinity and -infinity.

Can anybody tell me if this is a stable system. Thanks.

- Thread starter purplebird
- Start date

- #1

- 18

- 0

H(s) = 1/(e^s + 10)

This system has both poles and zeros at infinity and -infinity.

Can anybody tell me if this is a stable system. Thanks.

- #2

berkeman

Mentor

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You must show your own work before we can help you. You know that.

- #3

mheslep

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As shown H(s) has no zeros, and it has a pole at e^s=-10, not at +/-infinity

- #4

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- #5

The Electrician

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Yes you can solve it. The solutions are complex. One solution is s = i*pi+Ln(10)

- #6

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- #7

mheslep

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http://en.wikipedia.org/wiki/Control_theoryIn continuous time, the Laplace transform is used to obtain the transfer function. A system is stable if the poles of this transfer function lie strictly in the closed left half of the complex plane (i.e. the real part of all the poles is less than zero).

- #8

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As

- #9

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- #10

- 656

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k is an integer variable that can take any value between minus infinity and plus infinity. Since for an infinity of values of k the poles lie on the RHP, the system is unstable.

For an explanation on solving your equation see

http://mathforum.org/library/drmath/view/61830.html

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