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Abstract: Introduction The discrete algebraic Lyapunov equation (DALE) is P = APA T + Q; A; Q 2 R n\Thetan ; Q = Q T ? 0 ; (1) where all the eigenvalues of A lie inside the unit circle; ( T ) and (? 0) denote transpose and positive definiteness, respectively; P = P T ? 0 is the solution. The 1 Corresponding author: Prof. Dan Marchesin, Instituto de Matematica Pura e Aplicada, Estrada Dona Castorina 110, CEP 22460-320 Rio de Janeiro, RJ, Brazil; fax: 55-21-5295075; email:... (Update)
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...values of A. Theorem 4. 6 gives an upper bound for kL Gamma1 A k p depending on the radius of stability of A and generalizes results in [20]. Three examples illustrating the results are included. The issue of whether LA and L Gamma1 A achieve their norms on symmetric, positive...
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BibTeX entry: (Update)
M. K. TIPPETT AND D. MARCHESIN, Upper bounds for the solution of the discrete algebraic Lyapunov equation, Automatica, 35 (1999), pp. 1485--1489. http://citeseer.ist.psu.edu/tippett99upper.html More
@misc{ tippett99upper,
author = "M. TIPPETT and D. MARCHESIN",
title = "Upper bounds for the solution of the discrete algebraic Lyapunov equation",
text = "M. K. TIPPETT AND D. MARCHESIN, Upper bounds for the solution of the discrete
algebraic Lyapunov equation, Automatica, 35 (1999), pp. 1485--1489.",
year = "1999",
url = "citeseer.ist.psu.edu/tippett99upper.html" }
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