Explain why a discrete time system is stable if its eigenvalues are all in the unit...

70.2K

Verified Solution

Question

Advance Math

Explain why a discrete time system is stable if its eigenvaluesare all in the unit circle.

Explain why a symmetric matrix will always have realeigenvalues.

Explain why a continuous time system is stable if the real partof its eigenvalues are negative.

Answer & Explanation Solved by verified expert
4.2 Ratings (715 Votes)
1 for discrete systems the eigenvalues must lie inside theunit circle that is their modulus must be less than oneas a discrete time system is asymptotically    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students