Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Let us consider a continuous-time system represented by the following differential equation : 5+ 3a du 5 - 3a -231 u(0) : dt 10 – 3a -4a 232 -4a 10 + 3a B2

Let us consider a continuous-time system represented by the following differential equation : 5+ 3a du 5 - 3a -231 u(0) : dt 10 – 3a -4a 232 -4a 10 + 3a B2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Determine the eigenvalues of matrix A! Express your answer in terms of a! Determine also the corresponding eigenvectors of matrix A! Determine the system's output as a function of time u(t) for this system! Express your answer in terms of a! What should be the value of a so that the system is stable (u(t → -) = 0) for the aforementioned initial condition? Is it possible to adjust the value of a so that this system is stable for every initial condition? Please explain your reason! b1 =1 b2= 7
Transcribed Image Text:Determine the eigenvalues of matrix A! Express your answer in terms of a! Determine also the corresponding eigenvectors of matrix A! Determine the system's output as a function of time u(t) for this system! Express your answer in terms of a! What should be the value of a so that the system is stable (u(t → -) = 0) for the aforementioned initial condition? Is it possible to adjust the value of a so that this system is stable for every initial condition? Please explain your reason! b1 =1 b2= 7
Let us consider a continuous-time system represented by the following differential equation : 5+ 3a B1 du 40 5 - 3a -231 u(0) = dt 10 – 3a -4a 232 -4a 10 + 3a B2
Transcribed Image Text:Let us consider a continuous-time system represented by the following differential equation : 5+ 3a B1 du 40 5 - 3a -231 u(0) = dt 10 – 3a -4a 232 -4a 10 + 3a B2
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS