The input e(t) and output r(t) of a continuous system is regulated by, y(t) = tx(t), then the system is ( ) A．causal, time-variant, linear        B．non-causal, time-invariant, nonlinear C．causal, time-invariant, linear D．non-causal, time-invariant, nonlinear

Q: A continuous-time system is described by the differential equation dy(t) + 2y(t) = u(t) with y(0)-1.…

A: Find the output response of the given differential equation.  Initial conditions are given.

Q: The concept of the state of a dynamic system refer to a .maximum set of variables The root locus is…

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Q: For the system dynamics described by the following differential equation, y (t) +3y (t)+2y(t)=u(t)…

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Q: The system described by y(t) = fL x(t – 1) dt + u(t) is A. Linear, Time-Invariant, Non-Causal, and…

A: System equation are describe  Find the system are linear or non, time variant or non Causal non…

Q: 1.57. Consider a continuous-time system with the input-output relation y(t) = T{x(t)} = 2 x(t)8(t –…

A: Determine this is linear and time invariant

Q: The system described by y(t) = sin(x(t)) + tx(t+1) is A. Linear, Time-Variant, and Causal B. Linear,…

A: Describe about y(t) = sin(x(t)) +tx(t+1)

Q: Given an LTI system with its impulse response h(t) as shown below. If an input signal x(t) (as…

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Q: Consider the following first-order, causal LTI differential system S₁ initially at rest: dx(t) dt…

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Q: An LTI system is defined by the equation d*y(t) +4 ¢y() + 4y(t) = dx(e) + 0.5x(t) dt dt dt (a) Find…

A: As per guidelines i have to answer first three sub parts . please post remaining again.

Q: 2. For the following causal system y(n) = x(n-1) − x(n-2) + 1.6y(n-1) - 0.64y(n-2) Determine the…

A: For the given causal system, the transient and steady state response for the input x(n) = 2u(n) are…

Q: An LTI system has it system function H(s) given by 1 H(s) = R(s) > -4 (s + 5)(s + 4)' (a) Is the…

A: From the basics of Laplace transform

Q: 4. Consider the following second-order, causal LTI differential system initially at rest and h(0*) =…

A: The question they have mentioned all the initial conditions are zero hour response is initially…

Q: 5. A causal LTI system accepts the input x(t) = e'u(t) to produce the output %3D y(t) = (3e¬2t –…

A: According to the question we need to determine impulse response, describe differential equation and…

Q: The system described by y(t) = x² (t – 1) + x(2t) is - A. Linear, Time-Invariant, Non-Causal, and…

A: Given :   The input and output relation is given in the question   y(t) = x²(t-1) + x(2t)    y(t) =…

Q: B. Find, graphically, y(t) = f(t) * h(t) where h(t) = 8(t)- 8(t-1) and f(t) is the signal shown J…

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Q: Suppose we have a system modeled as an undamped harmonic oscillator. The system receives an impulse…

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Q: Consider a system described by the following input-output relationship y(t)=x(t)+t x(t–2) where x(t)…

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Q: Consider the following linear time-invariant discrete-time system which is casual.…

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Q: Consider a system u, y = [11] x. (a)Reduce the state equation to the controllable canonical form.…

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Q: 1 H(s) = s2 +4' %3D Find the ordinary differential equation that relates the system input x(t) to…

A: The given transfer function is: Hs=1s2+4

Q: Assume initially relaxed, solve for the response y(n) {0, 0, 1, 0, –2, 0 3} + y(n) -1 - 0.5 0.25

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Q: -1 (f) A = 0 -2 1 B = 1 0 -2

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Q: The following differential equation describes an LTIC system: 1y" (t) +9 (t)+1, 6(t) = x(t) Find the…

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Q: Q4. A linear time-invariant system is represented by the following differential equation y"(t) +…

A: State variable analysis is a modern method of analysis of the control system, just similar to the…

Q: (2) (e) dt +2y(t) = x(t) + (sin t)y(t) = dx + 2x(t) dt (f) dt dy dx (g) +2y(t) = x(t)- dt dt

A: CONTINUOUS AND DISCRETE-TIME SIGNALS: Because a signal is a function, we truly mean continuous-time…

Q: Consider the 1" -order continuous-time (CT) LTI dynamical system given by the input-output…

A: According to the question, we need to calculate the output of the system under given conditions…

Q: 3. Determine the following properties for the discrete-time system that is given. Properties –…

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Q: Find the solution to the difference equation given below y[n] – 0.25y[n – 2] = x[n] when the…

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Q: A causal system described by the differential equation below where y(t) is the output signal. The…

A: Given d2ydt2+2y=te-twe have to check the stability of the system.

Q: A discrete-time system represented by a difference equation y[n]+5y[n-1]+4y[n-2]=x[n] with the…

A: In the given question  A discrete - time system represented by a difference euqqation   y[n ] +…

Q: The process transfer function between the input, m, and output, y, is given by, y(s) = 5 -m (s) 48 s…

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Q: Given the following model of a dynamical system, *() = 6 x(t) + и (1), 1 0 y(t) = [0 1]xr (t), do…

A: Desired poles are at -2 and -3

Q: Q3. A discrete time LTI system described by y[n] + 0.5y[n – 2] – 0.3y[n – 3] = x[n] – 2x[n – 2].…

A: Givenyn+0.5yn-2-0.3yn-3=xn-2xn-2

Q: EXAMPLE 1. Use differential equation approach to find Vo(t) for t > 0. Plot the response. SW1 6 kQ 9…

A: Transient analysis  Formulas used:

Q: Example :Consider the control system shown in figure below. Sketch the root-locus plot and determine…

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Q: b) The output response y, of a discrete time system is given by Yn = 2 xn + 0.55 yn-1– 0.1 yn-2 v)…

A: v) Given output response of a discrete system is given by yn=2xn+0.55yn-1-0.1yn-2 Apply Z-transform…

Q: The system described by y(t) = x²(t- 2) + x(2t) is A. Linear, Time-Invariant, Non-Causal, and…

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Q: dx(t) The system described by y(t) = x(t+ 1) + tx(t) is dt A. Linear, Time-Variant, and Causal B.…

A: Step1 In this question we have to check linearity, Time Invariant and causality of the system. The…

Q: 2.10 The input of an LTI continuous-time system with impulse response h(t) =u(1) – u(t – 1) is x(t)…

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Q: Determine the initial and final values of f(t), if they exist, given that: 5s? + 3 (a) F(s) 3 s* +…

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Q: 3t 1) y (t) + -t -3t 2) y (t) 3t 3) y (t) = -t + 3t 4) y (t) = 119 611 11911 113 119 119 611 119

A: The given function is,  g(t)=t u(t)=e-3t Using the convolution theorem, the output in the frequency…

Q: 7. (a) The input and impulse response of an LTI system are denoted by x(t) and h(t), respectively,…

A: According to the question, we need to calculate the output y(t) by the graphical method of the…

Q: 7.39. A discrete-time system is given by the input/output difference equation y[n + 2] – y[n + 1] +…

A: In the given difference equation Check the system stable, marginally stable or unstable.

Q: Consider a CT-LTI system described by the differential equation d'y(t)_d²y(t)_5dy(t) _2 +6y(t) =…

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Q: Consider the following second-order, causal LTI differential system initially at rest and h(0*) =…

A: A second-order, causal, LTI differential system initial at rest is described by the following…

Q: 10) A system is given as y(n) = 0.5y(n - 1)+ 3r(n) + 2.x(n – 1) with input signal r(n) = 2euon u(n).…

A: As we have given  yn=0.5yn-1+3xn+2xn-1 We know the property of Z transform , xn→Z TransformXzxn-no→Z…

Q: The system described by y(t) = Sn x(T – 1) dr + u(t) is A. Linear, Time-Invariant, Non-Causal, and…

A: the system is described by: y(t)=∫-∞t x(x-1)dτ+u(t)

Q: 4) For a system, if the input given is x(t) = cos(2t) we observe that the output is y(t) = 5 cos(2t…

A: Given :   Input response of the system x(t) =cos(2t)   The output response of the system y(t)…

Q: Consider a system defined by the following ordinary differential equation: ÿ – y = u, where u =…

A: Given differential equation  y..-y=uu=sin(t)y(0)=1