Practice Stability (BIBO Stability - Bounded Input Bounded Output) for CT-LTI Systems - 5.5.3.2 | Module 5: Laplace Transform Analysis of Continuous-Time Systems | Signals and Systems
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5.5.3.2 - Stability (BIBO Stability - Bounded Input Bounded Output) for CT-LTI Systems

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does BIBO stability stand for?

πŸ’‘ Hint: Think about what bounded means in terms of inputs and outputs.

Question 2

Easy

What is the critical requirement for a system to be BIBO stable?

πŸ’‘ Hint: Consider how the ROC and BIBO stability connect.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does BIBO stability imply about a system?

  • Bounded input leads to unbounded output
  • Bounded input leads to bounded output
  • Only periodic inputs are bounded

πŸ’‘ Hint: Think about outputs corresponding to finite inputs.

Question 2

True or False? A system is BIBO stable if the ROC does not include the imaginary axis.

  • True
  • False

πŸ’‘ Hint: Consider the consequences of the ROC on system behavior.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Analyze the system with H(s) = 2/(s^3 + 3s^2 + 4s). Determine the stability, specify the ROC, and explain your conclusions.

πŸ’‘ Hint: Factor the polynomial to find roots or use numerical methods if necessary.

Question 2

Given two LTI systems with transfer functions H1(s) = (s+2)/(s^2 + s + 1) and H2(s) = 4/(s^2 - 5s + 6), compare their stability and analyze their responses to a bounded input.

πŸ’‘ Hint: Consider the position of each pole in relation to the s-plane.

Challenge and get performance evaluation