1. Consider the state equationdx1=dtX20-8 -61] ( 2 )x1x2(1)where x1 and x2 are state variables.(a) Determine the eigenvalues and eigenvectors of the state matrix.(b) Let (t) be the state transition matrix. Determine (t) through eigenvector expansion.Hint: A useful formula is the inversion of 2 × 2 matrix as follows.a bC d=1d -bad - bc -C a(c) The state equation (1) is subjected to the following initial conditionsx(0)=(2)(3)Determine the solution of (1) through use of the state transition matrix.(d) Determine the stability of the system. Will the response of the system oscillate? Explainwhy.

Answered: 1. Consider the state equation d x1 =…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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