| Summary: | 碩士 === 國立中央大學 === 電機工程學系 === 106 === This thesis is concerned with stability and stabilization of time-delay interval and polytopic systems of the positivity constraints. Continuous-time time-delay system is discussed. The robust stability in the systems is a must for a good system. In addition, in the actual systems, another issue worth noting is the problem of time-delay. Due to the time required for the transmission of state in the actual systems, there will inevitably be a time-delay, and the system contains an interval uncertainty factor, which is the main discussion in this thesis.
For positive and stability analysis problems of systems, we derive some new sufficient and necessary conditions. Then based on these conditions, a linear programming method is applied to design controllers. Several examples, including practical examples and compartmental systems are given to demonstrate the effectiveness and applicability of the proposed methods.
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