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  • Chen, Wei, et al. (author)
  • A Phase Theory Of Multi-Input Multi-Output Linear Time-Invariant Systems
  • 2024
  • In: SIAM Journal of Control and Optimization. - : Society for Industrial & Applied Mathematics (SIAM). - 0363-0129 .- 1095-7138. ; 62:2, s. 1235-1260
  • Journal article (peer-reviewed)abstract
    • In this paper, we define the phase response for a class of multi -input multi -output (MIMO) linear time -invariant (LTI) systems whose frequency responses are (semi -)sectorial at all frequencies. The newly defined phase subsumes the well-known notion of positive real systems and is closely related to the notion of negative imaginary systems. We formulate a small phase theorem for feedback stability, which complements the small gain theorem. The small phase theorem lays the foundation of a phase theory of MIMO systems. We also discuss time -domain interpretations of phase -bounded systems via both energy signal analysis and power signal analysis.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Wang, Dan (1)
Chen, Wei (1)
Qiu, Li (1)
Khong, Sei Zhen (1)
University
Royal Institute of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Engineering and Technology (1)
Year
2024 (1)

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