arXiv Open Access 2023

Discrete-time Negative Imaginary Systems from ZOH Sampling

Kanghong Shi Ian R. Petersen Igor G. Vladimirov

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Abstrak

A new definition of discrete-time negative imaginary (NI) systems is provided. This definition characterizes the dissipative property of a zero-order hold sampled continuous-time NI system. Under some assumptions, asymptotic stability can be guaranteed for the closed-loop interconnection of an NI system and an output strictly negative imaginary system, with one of them having a one step advance. In the case of linear systems, we also provide necessary and sufficient frequency-domain and LMI conditions under which the definition is satisfied. Also provided is a simple DC gain condition for the stability results in the linear case.

Topik & Kata Kunci

eess.SY math.OC

Penulis (3)

Kanghong Shi

Ian R. Petersen

Igor G. Vladimirov

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APA MLA BibTeX

Shi, K., Petersen, I.R., Vladimirov, I.G. (2023). Discrete-time Negative Imaginary Systems from ZOH Sampling. https://arxiv.org/abs/2312.05419

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓