Analysis of the first column shows, that the coeffcients have different signs, therefore the system G2(s) is unstable. While the sign of coefficients changes twice, passing from the third row to the fourth and from the fourth to the fifth, it can be concluded, that the system has two positive roots on the right hand semiplane.

Content of report

1. Elaboration of mathematical model describing the system by transfer function.

2.Check stability of the system by algebraic method of roots and Rauth-Hurwitz method.

3.Conclusions.

Control questions

1.How do you understand concept „stable system“? What are defitions of stable system?

2.How is the algebraic root stability criterion formulated?

3.How do you understand concept „marginal stability“?

4.If the Rauth-Hurwitz criterion is actual, what are advantages of that criterion?

5.What are formulations of Rauth-Hurwitz criterion?

6.Is the system stable, if its output signal is periodic rectangular impulse?

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