Delay and Its Time-Derivative Dependent Stable Criterion for Differential-Algebraic Systems
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Date
2016-06
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Scientific Research Publishing
Abstract
In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its time-derivative dependent stable criteria are obtained and formulated in the form of simple linear matrix inequalities (LMIs). The obtained criteria are dependent on the sizes of delay and its time-derivative and are less conservative than those produced by previous approaches.
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Keywords
Differential-Algebraic Systems, Stability Analysis, Lyapunov-Krasovskii Functional, Delay Partitioning Approach, Linear Matrix Inequality (LMI)