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A Phase Theory Of M...
A Phase Theory Of Multi-Input Multi-Output Linear Time-Invariant Systems
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- Chen, Wei (författare)
- Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China.;Peking Univ, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China.
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- Wang, Dan (författare)
- KTH,Reglerteknik
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- Khong, Sei zhen (författare)
- Natl Sun Yat sen Univ, Dept Elect Engn, Kaohsiung, Taiwan.
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- Qiu, Li (författare)
- Southern Univ Sci & Technol, Shenzhen, Peoples R China.;Hong Kong Univ Sci & Technol, Dept Elect & Comp Engn, Hong Kong, Peoples R China.
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Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China;Peking Univ, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China. Reglerteknik (creator_code:org_t)
- Society for Industrial & Applied Mathematics (SIAM), 2024
- 2024
- Engelska.
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Ingår i: SIAM Journal of Control and Optimization. - : Society for Industrial & Applied Mathematics (SIAM). - 0363-0129 .- 1095-7138. ; 62:2, s. 1235-1260
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
Nyckelord
- phase theory
- MIMO phase response
- Phi
- infty sector
- small phase theorem
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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