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A causal LTI systemS with impulse response h(t) has its input x(t) and output y(t)
Chapter 9, Problem 9.16(choose chapter or problem)
A causal LTI systemS with impulse response h(t) has its input x(t) and output y(t) related through a linear constant -coefficient differential equation of the form (a) If dh(t) g(t) = ---;[[ + h(t), how many poles does G(s) have? (b) For what real values of the parameter a is S guaranteed to be stable?
Questions & Answers
QUESTION:
A causal LTI systemS with impulse response h(t) has its input x(t) and output y(t) related through a linear constant -coefficient differential equation of the form (a) If dh(t) g(t) = ---;[[ + h(t), how many poles does G(s) have? (b) For what real values of the parameter a is S guaranteed to be stable?
ANSWER:Step 1 of 6
The differential equation is,
Taking transform of the both sides,