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Problem 1. Consider a system with transfer function and input function H(s): = 1 (s+2)(s-1.2) s-1.2 U(s) = s(s+1) (a) Find the general form of impulse response, h(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc.) (b) Find the general form of input, u(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc.) Is this input bounded? Why? (c) Find the output response, y(t). (Evaluate the constants) Is this output bounded? Why? (d) Is this system stable? Why?

Problem 1. Consider a system with transfer function and input function H(s): = 1 (s+2)(s-1.2) s-1.2 U(s) = s(s+1) (a) Find the general form of impulse response, h(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc.) (b) Find the general form of input, u(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc.) Is this input bounded? Why? (c) Find the output response, y(t). (Evaluate the constants) Is this output bounded? Why? (d) Is this system stable? Why?

Introductory Circuit Analysis (13th Edition)
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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Problem 1. Consider a system with transfer function and input function H(s): = 1 (s+2)(s-1.2) s-1.2 U(s) = s(s+1) (a) Find the general form of impulse response, h(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc.) (b) Find the general form of input, u(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc.) Is this input bounded? Why? (c) Find the output response, y(t). (Evaluate the constants) Is this output bounded? Why? (d) Is this system stable? Why?
Transcribed Image Text:Problem 1. Consider a system with transfer function and input function H(s): = 1 (s+2)(s-1.2) s-1.2 U(s) = s(s+1) (a) Find the general form of impulse response, h(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc.) (b) Find the general form of input, u(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc.) Is this input bounded? Why? (c) Find the output response, y(t). (Evaluate the constants) Is this output bounded? Why? (d) Is this system stable? Why?
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