The input-output relationship of a time-invariant, linear, continuous-time system is given by thedifferential equation below.dy" + 5 y' + 6y =u + udtZero state response ofu (t) = 6t² the system in case of input sign Yo (t) It is obtained by thefollowing mathematical expression.CEt +FYo(t) =t2 +Örnek: Sonucuaа= 2 bulduysanız a = 2, b = 1 olacaktır. Sonucubb-3 bulduysanıza = -3, b = 1 olacaktır. Sonucu - = 0 bulduysanız a == 0,%3D%3Dbb = 1 olacaktır. SonucuaII- bulduysanız a =-1, b = 2 olacaktır.%3Db2What is the value of parameter F?F =

The input-output relationship of a continuous-time LTI system is given by the following differential…

Answered: The input-output relationship of a…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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A system is described by the differential equation (see attached). a)What is the order of the system. How many poles does the system's transfer function have. How many states are needed to describe the system completely.b) Determine the system's transfer function, Y(s)/U(s) (the poles of the system are at ―1, ― 2, and ―4);c) Determine matrices A, B, C, and D to describe the system in state-space form x' = Ax + Bu, y = Cx + Du.
The block diagram of a time-invariant, linear, continuous-time system is given below. X1(s) and X2(s) are the state variables of the system. U(s) is the input signal of the system, Y(s) is the output signal of the system. What is the value of parameter E?
When the unit step function is applied to the system input whose block diagram is given below, the output response is c(0.2) = 0.11 for t=0.2 s, and c(infinity)=0.333 for t=infinity. What is the settling time of the system? calculate.
The closed-loop transfer function of a system is given by G(s) = 14.145 / (s+5)*(s^2 +0.842s+2.829). Which of the following is true for this system? I. The damping ratio is given by 0.25. II. Its natural frequency is given as 1.682 r/s. III. Exceeding the percentage is given with 44.4%. IV. The peak time is given as 1.93 s. a) I only b) I, II, II and IV c) II and III only d) I, II and IV only
Signal and system The mathematical model of a system is y" (t) + ay'(t) + by(t) = a (t) + ca (t) where a=1, b=2 and c=1. 1) Find zeros and poles of the system. 2) Show them onto the S-Plane (the complex plane) 3) Discuss the BIBO stability of the system.
It is known that u(t) is a unit step signal and a Linear Time Invariant (LTI) system has an impulse response given by h(t) = (4t+1) u(t–2) + (-4t–1)u( t). The LTI system above is then evaluated by passing the input signal x(t) = 2u(t–1) –2u(t–2) into the system. a) Show mathematically whether the above system is a stable system or not and explain your answer completely and explain whether the system is a causal system! b) Draw the input signal for the system above and also describe the impulse response of the system! c) If y(t) is the output signal of the LTI system above, then determine the value of the y(t) signal for each t value! (use simple way)
D.) It is known that u(t) is a unit step signal and a Linear Time Invariant (LTI) system has an impulse response given by h(t) = (4t+1) u(t–2) + (-4t–1)u( t). The LTI system above is then evaluated by passing the input signal x(t) = 2u(t–1) –2u(t–2) into the system. a) Show mathematically whether the above system is a stable system or not and explain your answer completely and explain whether the system is a causal system! b) Draw the input signal for the system above and also describe the impulse response of the system! c) If y(t) is the output signal of the LTI system above, then determine the value of the y(t) signal for each t value!
39 - When the unit step function is applied to the system input given the block diagram below, the output response takes the value c (0.2) = 0.145 for t = 0.2 s and c (infinity) = 0.8 for t = infinity. What is the time constant of the system? calculate.A) 1 sB) 2 sC) 0.5 sD) 0.25 sE) 0.33 s
When the unit step function is applied to the system input whose block diagram is given below, the output response takes the value c (0.2) = 0.11 fort = 0.2 s and c (infinity) = 0.333 for t = infinity. What is the time constant of the system? calculate.
A system has a closed-loop transfer function T(s) = 1/s^3 + 5s^2 + 20s + 6 (a)Determine whether the system is stable.(b)Determine the roots of the characteristic equation.(c)Plot the response of the system to a unit step input.
A)Perform the N=5 point circular convolution of x and h using DFT. B)Perform the N=5 point circular convolution of x and h in time-domain.
4. Transfer function of the system is defined as the ratio of Laplace output to Laplace input considering initial conditions________a) 1b) 2c) 0d) infinite 5. Feedback can always reduce the effects of noise and disturbance on system performance? a) Trueb) False 10. For open control system which of the following statements is incorrect?a. Less expensiveb. Recalibration is not required for maintaining the required quality of the output c. Construction is simple and maintenance easyd. Errors are caused by disturbances 11.the closed loop system is.a. Autopilot for an aircraft b. Direct current generator c. Car starter d. Electric switch

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