Kalman–Yakubovich–Popov lemma
id:
kalman-yakubovich-popov-lemma-193-9843578
title:
Kalman–Yakubovich–Popov lemma
text:
The Kalman–Yakubovich–Popov lemma is a result in system analysis and control theory which states: Given a number γ > 0 , two n-vectors B, C and an n x n Hurwitz matrix A, if the pair is completely controllable, then a symmetric matrix P and a vector Q satisfying exist if and only if Moreover, the set { x : x T P x = 0 } is the unobservable subspace for the pair . The lemma can be seen as a generalization of the Lyapunov equation in stability theory. It establishes a relation between a linear mat
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https://en.wikipedia.org/wiki/Kalman%E2%80%93Yakubovich%E2%80%93Popov_lemma
date created:
date modified:
2023-09-09T07:12:27Z
main entity:
{"identifier":"Q6354030","url":"https://www.wikidata.org/entity/Q6354030"}
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