Existence of non-symmetrical Lyapunov functions for linear systems
- 1 April 1989
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 20 (4) , 597-607
- https://doi.org/10.1080/00207728908910153
Abstract
Three non-symmetrical positive-definite functions that generate non-symmetrical domains of Rn are proposed as candidate Lyapunov functions for discrete-time free linear systems. Three sufficient conditions are given in R2n for these functions to become Lyapunov functions. The generated non-symmetrical domains are the stability domains for the class of dynamical discrete-time free linear systems that satisfy such conditions.Keywords
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