A Comparison of Lyapunov and Hyperstability Approaches to Adaptive Control,
YALE UNIV NEW HAVEN CT SYSTEMS AND INFORMATION SCIENCES
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The aim of this brief paper is to examine the conditions which have to be satisfied for the two approaches to be successfully applied to adaptive observers and controllers and also to demonstrate that they are entirely equivalent. Using a typical error model it is shown that hyperstability and asymptotic hyperstability are achieved under exactly the same conditions as stability and asymptotic stability in the sense of Lyapunov. In those cases where the adaptive control problem remains unresolved, the difficulties encountered using Lyapunovs method are shown to have their counterparts in hyperstability theory as well.
- Operations Research