Physics · Control Systems
The state equation of a second-order system is x'(t) = Ax(t), where x(0) is the initial condition. Suppose λ1 and λ2 are two distinct eigenvalues of matrix A, and v1 and v2 are the corresponding eigenvectors. For constants α1 and α2, the general solution x(t) of the state equation is represented by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1Σi=12 αi e4λitvi
- 2Σi=12 αi e3λitvi
- 3Σi=12 αi e2λitvi
- 4Σi=12 αi eλitvi✓
Correct answer
Σi=12 αi eλitvi
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Physics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Control Systems MCQs →Want more practice questions on Control Systems?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Physics · Control Systems