Practice - Stability (BIBO Stability - Bounded Input Bounded Output) for CT-LTI Systems
Practice Questions
Test your understanding with targeted questions
What does BIBO stability stand for?
💡 Hint: Think about what bounded means in terms of inputs and outputs.
What is the critical requirement for a system to be BIBO stable?
💡 Hint: Consider how the ROC and BIBO stability connect.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does BIBO stability imply about a system?
💡 Hint: Think about outputs corresponding to finite inputs.
True or False? A system is BIBO stable if the ROC does not include the imaginary axis.
💡 Hint: Consider the consequences of the ROC on system behavior.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Analyze the system with H(s) = 2/(s^3 + 3s^2 + 4s). Determine the stability, specify the ROC, and explain your conclusions.
💡 Hint: Factor the polynomial to find roots or use numerical methods if necessary.
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.
💡 Hint: Consider the position of each pole in relation to the s-plane.
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