2. Suppose that the pair (A, C) is detectable. Show that if the Lyapunov matrix equation ATP + PA = -CTC has a symmetric positive definite solution P, then A has negative real-part eigenvalues.
2. Suppose that the pair (A, C) is detectable. Show that if the Lyapunov matrix equation ATP + PA = -CTC has a symmetric positive definite solution P, then A has negative real-part eigenvalues.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 16CR
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