Diagonally-invariant Exponential Stability
نویسندگان
چکیده
The diagonally-invariant exponential stability (DIES) is introduced as a special type of exponential stability (ES) which incorporates information about the sets invariant with respect to the state-space trajectories. DIES is able to unify, at the conceptual level, issues in stability analysis that have been separately addressed by previous researches Unlike ES, DIES is a norm-dependent property and its study requires appropriate instruments. These instruments are derived in terms of matrix measures from the characteristics of the system trajectories; their convenient exploitation in practice is ensured by methods based on matrix comparisons. The developed framework presents a noticeable generality and its applicability is illustrated for several classes of linear and non-linear systems. This framework can be simply adapted to discrete-time systems. Copyright © 2005 IFAC
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