Please solve with detail solution and answers!Consider a continuoustime dynamic system described by the differential equation gym + aw) = not) (1) 1. Let u(t) = 6(t), compute y(t)2. Let u(t) = ?m?) 4m(t) and let a:(t) = 6(t), now compute y(t). 3. Using (1), write down the transfer function G(s) for y(3) = G(s)u(s) and the condition on the valueof a so that the system is stable. 4. Let the value of a = 0 in (1), sketch the shape of the amplitude Bode plot of logmw versus10sJ IGUW) |- [MS] Consider the discretetime system described by the difference equationy[n] 0.64y[n 2] = u[‘n,] + u[n 1] (2)5. Show that the discretetime system is stable.6. Let u[n] = 0.2 for n 2 0, compute y[n].7. Let u[n] = cos(21m) then y[n] = B cos(27rn + 9b) as n > oo. Compute B. [2pts] 8. Consider a continuoustime dynamic system described by the differential equation gym + zjtym + 4:105) = no compute the resonance frequency and damping ratio of this resonant system.

# Dynamic system

Get your custom paper done at low prices

# 275 words/page

# Double spacing

# Free formatting (APA, MLA, Chicago, Harvard and others)

# 12 point Arial/Times New Roman font

# Free title page

# Free bibliography & reference

TESTIMONIALS

## What Students Are Saying

Outstanding service, thank you very much.

Awesome. Will definitely use the service again.