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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define 'Initial Conditions' in the context of CT-LTI systems.
💡 Hint: Consider the time at which we start observing the system.
Question 2
Easy
What is the Zero-Input Response?
💡 Hint: Think of this as the system's memory.
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 is the Total Response of a system?
- The output due to input alone.
- The output due to initial conditions only.
- The sum of zero-input and zero-state responses.
💡 Hint: Remember how we combine influences in these systems.
Question 2
True or False: The Zero-Input Response depends on the current input.
- True
- False
💡 Hint: Consider what influences the system when no outside forces apply.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a differential equation for a spring-mass system, determine the total response by analyzing both the zero-input and zero-state outputs based on provided initial conditions.
💡 Hint: Recall that the impulse function helps determine the zero-state response.
Question 2
A control system has a zero-input response represented as y_zi(t) which exhibits oscillatory behavior; what implications does this have on system stability?
💡 Hint: Consider how energy in the system is dissipated over time.
Challenge and get performance evaluation