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Standard L1 Stability for Singular Switched Positive Systems with Time-Varying Distributed Delay Under MDRDT Constraint
Journal of Circuits, Systems and Computers ( IF 1.5 ) Pub Date : 2020-11-12 , DOI: 10.1142/s0218126621501280
Shuo Li 1 , Junfeng Zhang 1 , Huijiao Wang 1 , Chengdi Xiang 1
Affiliation  

This paper is concerned with the standard L1 stability with respect to singular switched positive systems (SSPSs) with time-varying distributed delays (TVDDs) under mode-dependent ranged dwell time (MDRDT) constraint. Firstly, for SSPSs with TVDDs under MDRDT constraint, a sufficient condition of asymptotical stability is proposed. Next, to analyze disturbance attenuation performance, a sufficient condition of standard L1 stability is presented for SSPSs with TVDDs under MDRDT constraint. Via convex optimization approach, the corresponding standard L1-gain performance optimum can be received. In addition, the standard L1 stability issue is also extended to the SSPSs in nonsingular case, in delay-free case and in RDT constraint case, respectively. Finally, the validity is proved by giving three examples.

中文翻译:

MDRDT约束下具有时变分布延迟的奇异开关正系统的标准L1稳定性

本文关注的是标准大号1在与模式相关的范围驻留时间 (MDRDT) 约束下,具有时变分布延迟 (TVDD) 的奇异开关正系统 (SSPS) 的稳定性。首先,对于在 MDRDT 约束下具有 TVDD 的 SSPS,提出了渐近稳定的充分条件。接下来,为了分析干扰衰减性能,标准的充分条件大号1在 MDRDT 约束下为具有 TVDD 的 SSPS 提供稳定性。通过凸优化方法,相应的标准大号1-可以获得最佳性能。此外,标准大号1稳定性问题也分别扩展到非奇异情况、无延迟情况和 RDT 约束情况下的 SSPS。最后通过三个例子证明了其有效性。
更新日期:2020-11-12
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