Practice Stability (BIBO - Bounded Input Bounded Output Stability) - 2.1.5.2 | Module 2: Time Domain Analysis of Continuous-Time Systems | Signals and Systems
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2.1.5.2 - Stability (BIBO - Bounded Input Bounded Output Stability)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does BIBO stand for?

πŸ’‘ Hint: Think about the connection between input and output in systems.

Question 2

Easy

Provide an example of a stable impulse response.

πŸ’‘ Hint: Consider exponential decay functions.

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

A system is BIBO stable if:

  • A. Every bounded input produces an unbounded output.
  • B. Every bounded input produces a bounded output.
  • C. All inputs lead to zero output.

πŸ’‘ Hint: Think about the requirements for stable systems.

Question 2

True or False: An impulse response must be absolutely integrable for a system to be BIBO stable.

  • True
  • False

πŸ’‘ Hint: Recall what integral conditions imply.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the impulse response h(t) = e^(-t)sin(t)u(t), determine if the system is BIBO stable.

πŸ’‘ Hint: Consider the convergence of the sine function with the exponential decay.

Question 2

Analyze a system with impulse response h(t) = 1/(t^2 + 1) for t in R. Is it BIBO stable?

πŸ’‘ Hint: Think about the behavior of h(t) across its range and how it integrates.

Challenge and get performance evaluation