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首页> 外文会议>Multidisciplinary International Symposium on Positive Systems: Theory and Applications >Stability Analysis of Neutral Type Time-Delay Positive Systems
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Stability Analysis of Neutral Type Time-Delay Positive Systems

机译：中性型时滞正系统稳定性分析

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This chapter is concerned with asymptotic stability analysis of neutral type time-delay positive systems (TDPSs). We focus on a neutral type TDPS represented by a feedback system constructed from a finite-dimensional LTI positive system and the pure delay, and give a necessary and sufficient condition for the stability. In the case where we deal with a retarded type TDPS, i.e., if the direct-feedthrough term of the finite-dimensional LTI positive system is zero, it is well known that the retarded type TDPS is stable if and only if its delay-free finite-dimensional counterpart is stable. In the case of neutral type TDPS, i.e., if the direct-feedthrough term is nonzero, however, we clarify that the neutral type TDPS is stable if and only if its delay-free finite-dimensional counterpart is stable and the direct-feedthrough term is Schur stable. Namely, we need additional condition on the direct-feedthrough term.
机译：本章涉及中性型时间延迟阳性系统（TDPS）的渐近稳定性分析。我们专注于由由有限尺寸LTI正系统和纯延迟构成的反馈系统表示的中性类型TDP，并给出稳定性的必要和充分条件。在我们处理延迟式TDP的情况下，即，如果有限维LTI阳性系统的直接馈通术语为零，则众所周知，如果延迟的延迟，则延迟类型的TDP是稳定的有限维对应物是稳定的。在中性类型TDPS的情况下，即，如果直接馈通术语是非零，则阐明了中性TDPS如果仅当其延迟的有限维对应稳定并且直接直接术语是斯科稳定。即，我们需要直接馈通术语的额外条件。

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