Signals and Systems

EXERCISES

 

1. Find the stability of the system by Routh’s criterion. The characteristic equation of the system is

    

   s⁴ + 6s³ + 26s² + 56s + 82 = 0

    

   [Ans.: Stable]

2. If the characteristic equation of the system is s³⁻− 4s² + s + 10 = 0, find the stability of the system by Routh’s criterion.

   [Ans.: Unstable]

3. If the characteristic equation of the system is s⁶ + 4s⁵ + 3s⁴−16s²− 64s − 48 = 0, find the stability of the system by Routh’s criterion. Also find the number of roots of this equation with positive real part, zero real part and negative real part.

    

   [Ans.: Unstable, Roots with positiveReal part is one, Roots with negativeReal part are three, Roots with zeroReal part are two]

4. Determine range of values of K, marginal value of K and frequency ...