3-Take the following system with the input x, and output y, y(n) = cy(n – 1) + x(n). Take y(n) = 0, for n < 0. Using the z transform, find the output if (a) æ(n) = 6(n), (b) x(n) = u(n). Note that c is a constant. Evaluate your results in part (a) when (1) c= 0.5, (2) c = 2. Do you see similar trends in the two cases? Discuss the behavior (stability) of the system for different values of c.

3-Take the following system with the input x, and output y, y(n) = cy(n – 1) + x(n). Take y(n) = 0, for n < 0. Using the z transform, find the output if (a) æ(n) = 6(n), (b) x(n) = u(n). Note that c is a constant. Evaluate your results in part (a) when (1) c= 0.5, (2) c = 2. Do you see similar trends in the two cases? Discuss the behavior (stability) of the system for different values of c.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.16P

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