Electrical and Computer Engineering Homework Solutions

systems & simulation analysis using Simulink

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CONTROL SYSTEM SPECIFICATIONS

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logic gates

Two 2-input logic gates, a NAND gate and a NOR gate, each have one input at logic HIGH (''1'') level, and the other input at logic LOW (''O'') level. Each output forms the two inputs of a 2-input OR gate. The output of that OR gate is a logic? 0? 1? 2? 3? ........and why??

Root locus

(See attached file for full problem description) --- - Sketch the root locus for the transfer function: - Determine the gain, k. --- (See attached file for full problem description)

root locus plus nyquist plus bode plot

I am not using any prescribed textbook for this course. please refer to attached lecture notes.

root locus plus nyquist plus bode plot

I am not using any prescribed textbook. Please refer to attached lecture notes.

Give the state variable description of the system...

Give the state variable description of the system, in the attachment. a) Write new state equations for the variables, ξ1(t) = 3 x1(t) + 2 x2 (t) ξ2(t) = 7 x1(t) + 5 x2 (t) b) Using MATLAB, find the transfer functions of the original and new system

Problem #5

a) Show that the product of A(AT) IS A SYMMETRIC MATRIX b) Show that any square matrix A can be written as the sum of a symmetric matrix S and a skew-symmetric T c) Give an example to show that if the product of the two matrices A and B is the zero matrix, it does not imply that A or B has to be the zero matrix d) Given ...continues

Vector space

a) A vector space V consists of the vectors {v1,v2,v3,v4} and all their linear combinations. Determine the dimension and the basis for V if v1 =[1 2 3 4 5]T, v2=[1 3 5 6 7]T, v3=[1 3 6 8 9]T and v4=[1 3 6 10 12]T Is the basis unique? Justify your answer. b) Is it possible to express v=[5 4 3 2 1]T as ...continues

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