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A necessary and sufficient condition in Lyapunov robust control (1989)

Stalford, H. L. ; Chao, C. H.

Springer

Journal of optimization theory and applications 63 (1989), S. 191-204

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ISSN: 1573-2878

Keywords: Robust control ; uncertain systems ; Lyapunov's method ; necessary and sufficient conditions ; controllable companion forms

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract We consider Lyapunov's equationPA+A T P+Q=0, whereQ is symmetric positive definite andA is in controllable companion form. We prove that a necessary and sufficient condition thatA be stable is that the first rowP 1 of theP-matrix be a stablen−1 coefficient vector. This result is related to the minimum phase property of linear systems and is useful in designing robust controllers.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00939573

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