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Convert the following differential equation 5 (t) +4 (t) +3x.(t) + 2x(t) + 7u(t) - 5u.(t) + 2 (t) = 0 to state space form. Is this system marginally stable, asymptotically stable, or unstable when u(t) = 0? Determine stability by using the state space solution. How does it compare to the roots of the characteristic equation? For the ODE in problem 2, show that if y(t) = x(t) that Y(s)/U(s) = G(s) = C(sI3 - A)-1 B where G(s) is the transfer function found by directly converting the ODE in problem 2 to the Laplace domain assuming that x(0) = x.(0) = x(0) = 0 and A, B, C, are the matrices found in the last problem to represent the system in state space form.
a) Determine the frequency range of the local oscillator for this receiver b) Analyze and explain whether it's possible for this reciever to receive both a diesred AM station and an image station within the same 31-meter band
A sample of non-ideal gas is made to undergo an expansion process during which its pressure and volume are related as shown in the table below. The energy of the gas at the start and finish of the process is measured and found to be 5 and 3.2 Btu
Suppose you are working for an aircraft company on a positioning control system that controls the position of the landing for their aircraft. This positioning system requires a feedback signal from a position sensor.
Analyse and Model Engineering Situations and Solve Engineering Problems using Laplace Transform
How does this cost compare with the current cost of new coal figured generation at 3.5¢/kWh? Write a brief (400 words or less) argument on why Colorado should or should not shut down its coal power plants and replace them with wind farms?
a) Write the system of linear equations in the form of Ax = b: (b) Use Guass-Jordan method to find A inverse (c) Use A inverse to solve the system of equations. -2x1 + x2 +x3 = -12 4x1 + 2x2 + 4x3 = 7 -x1 + x2 + 2x3 = -3
A 3.5inch floppy disc has a nominal capacity of 2 MB. Note that there are eight bits to a byte. Estimate the area of magnetic material allocated to each bit of information. Clearly state any assumption made and carefully note any measured quantiti..
pressure limits of 10 kPa and 8 MPa, with reheat occurring at 4 MPa. The temperature of steam at the inlets of both turbines is 500°C, and the enthalpy of steam is 3185 kJ/kg at the exit of the high-pressure turbine
Design a class - A transformer-coupled emitter-follower amplifier to deliver 10 W to an 8 Ohm speaker. The ambient temp is 25 C and the maximum junction temp is Tj max = 150 C. assume the thermal resistance value are dev-case = 3.2 C/W
Five periods of the signal s(t)=sin(2500pi*t) are sampled at a sampling frequency of 4000 Hz. a. Does this sampling frequency meet the Nyquist requirement for the signal? b. How many samples are collected
A simple low-pass discrete-time filter is characterized by the following linear difference equation: y[n] = f y[n-1] +(1- f) x[n] , with 0 1 Draw and clearly label an adder-gain-delay diagram for the filter. using the same difference equation from a..
A farmer owns two barns; one north of a creek and the other south of the creek. The farmer has a Cabbage, a Goat, and a Wolf. The Farmer needs to put each item in a barn every night. If the Cabbage and Goat are in the same barn
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