Electronics Engineering · Control Systems
When the state matrix A has repeated eigenvalues but fewer than 'n' independent eigenvectors, which specific matrix form and mathematical tool should be used to compute the state-transition matrix eAt efficiently?
- 1Jordan's canonical form, requiring Jordan chain expansion✓
- 2Observability canonical form, requiring Sylvester's interpolation formula
- 3Controllable canonical form, requiring the Cayley-Hamilton theorem
- 4Companion form, requiring Laplace transformation
Correct answer
Jordan's canonical form, requiring Jordan chain expansion
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