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Quasi-Herglotz func...
Quasi-Herglotz functions and convex optimization
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- Ivanenko, Yevhen (författare)
- Linnaeus University,Linnéuniversitetet,Institutionen för fysik och elektroteknik (IFE),Linnaeus Univ, Dept Phys & Elect Engn, S-35195 Vaxjo, Sweden.
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- Nedic, Mitja (författare)
- Stockholms universitet,Stockholm University,Matematiska institutionen
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- Gustafsson, M. (författare)
- Lund University,Lunds universitet,Teoretisk elektroteknik,Forskargrupper vid Lunds universitet,Electromagnetic Theory,Lund University Research Groups
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- Jonsson, B. Lars G. (författare)
- KTH Royal Institute of Technology,KTH,Elektroteknisk teori och konstruktion,KTH Royal institute of technology, Sweden
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- Luger, A. (författare)
- Stockholms universitet,Stockholm University,Matematiska institutionen
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- Nordebo, Sven, 1963- (författare)
- Linnaeus University,Linnéuniversitetet,Institutionen för fysik och elektroteknik (IFE),Linnaeus Univ, Dept Phys & Elect Engn, S-35195 Vaxjo, Sweden.
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(creator_code:org_t)
- 2020-01-15
- 2020
- Engelska.
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Ingår i: Royal Society Open Science. - : The Royal Society Publishing. - 2054-5703. ; 7:1, s. 1-15
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We introduce the set of quasi-Herglotz functions and demonstrate that it has properties useful in the modelling of non-passive systems. The linear space of quasi-Herglotz functions constitutes a natural extension of the convex cone of Herglotz functions. It consists of differences of Herglotz functions and we show that several of the important properties and modelling perspectives are inherited by the new set of quasi-Herglotz functions. In particular, this applies to their integral representations, the associated integral identities or sum rules (with adequate additional assumptions), their boundary values on the real axis and the associated approximation theory. Numerical examples are included to demonstrate the modelling of a non-passive gain medium formulated as a convex optimization problem, where the generating measure is modelled by using a finite expansion of B-splines and point masses.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Annan elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Other Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
Nyckelord
- quasi-Herglotz functions
- non-passive systems
- approximation
- convex optimization
- sum rules
- Waves and Signals
- Vågor och signaler
- Approximation
- Convex optimization
- Non-passive systems
- Quasi-Herglotz functions
- Sum rules
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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