CoE 165 2024 Assignment 03

CoE165 Assignment 3

Part 1: Continuous Dynamics

1. Give an example of a linear and time-invariant system, preferably a system that you have used, studied before, or are familiar with.
   • Why is this an LTI system? Explain.
   • Is the system memoryless? Explain.
2. Give an example of a non-linear system, again preferably a system that you have used, studied before, or are familiar with.
   • Explain why this is a non-linear system.
   • Is the system memoryless? Explain.
3. Give an example of a time-varying system, once again preferably a system that you have used, studied before, or are familiar with.
   • Is the system memoryless? Explain.
   • Is the system linear? Explain.

Part 2: Discrete Dynamics

In this assignment, you will choose and model the discrete dynamics of a finite-state system with at least three states. It is preferred, but not required, that you choose a system that you are familiar with.

Given your choice of system, answer the following questions:

1. Explain why you chose the system, and briefly describe the purpose and behavior of the system, as well as any characteristics that you find interesting.
2. Explain why the system has discrete dynamics.
3. Draw a finite-state machine model of your discrete system’s dynamics, and:
   • Identify which signals are pure signals.
   • What conditions would cause the system to react? Is it event-triggered or time-triggered?
   • What are the outputs of your system?
   • What is the state space of your system?
   • Identify any default transitions.
   • Identify any stuttering transitions.
   • Comment on the receptiveness of your model.
   • Is your model deterministic? How can you tell?

Submission

• Do not forget to add your name and student number at the top of the page.
• Deadline:
  • Tuesday, October 8, 5pm.
  • Late submissions are not allowed, and will get a score of zero.
• Submit your PDF file here:
  • https://forms.gle/JUfZ3sdduX4ipvddA