Výsledky vyhledávání - "Popov function"

Sampling method for semidefinite programmes with non-negative Popov function constraints

Autor: Lieven Vandenberghe, Anders Hansson

Publikováno v: International Journal of Control. 87:330-345

An important class of optimisation problems in control and signal processing involves the constraint that a Popov function is non-negative on the unit circle or the imaginary axis. Such a constraint is convex in the coefficients of the Popov function

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43de63b2a866356845091abe469a28cf
https://doi.org/10.1080/00207179.2013.833366

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Linear operator inequalities for strongly stable weakly regular linear systems

Publikováno v: Mathematics of control signals and systems. 14(4):299-337

We consider the question of the existence of solutions to certain linear operator inequalities (Lur'e equations) for strongly stable, weakly regular linear systems with generating operators A, B, C, 0. These operator inequalities are related to the s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dris___00893::ca94bbafd67cc7bf2b19069d78ab50d1
https://hdl.handle.net/11370/c03dd26c-2634-4cdc-a1fe-2dd2686ff261

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Riccati equations for strongly stabilizable bounded linear systems

Publikováno v: Automatica. 34(8):953-967

We obtain necessary and sufficient conditions for the existence of strongly stabilizing solutions to Riccati equations for infinite-dimensional systems that are strongly, but not exponentially stabilizable. We apply the theory to derive a Riccati cri

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dris___01423::08c06696237aef174e2c85bba124c7dc
https://research.rug.nl/en/publications/f7771831-f4c7-4dc6-a635-ca36537e1e28

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Riccati equations for stable well-posed linear systems: The generic case

Autor: Ruth F. Curtain

Publikováno v: SIAM Journal on Control and Optimization, 42(5), 1681-1702. SIAM PUBLICATIONS

Under the generic assumption that zero is in the resolvent set of the generator, we show that the optimal control problem for a stable well-posed linear system is equivalent to a control problem for its reciprocal system which has bounded generating

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7691779459b22fb53b201a7f5a5589eb
https://research.rug.nl/en/publications/60f30f89-e996-4f5e-b87a-9900bd15d44b

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Linear operator inequalities for strongly stable weakly regular linear systems

Autor: Curtain, RF

Publikováno v: Mathematics of control signals and systems, 14(4), 299-337. SPRINGER LONDON LTD

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::973cf6cc9bf579f19c6ae9f2436c6a43
https://research.rug.nl/en/publications/c03dd26c-2634-4cdc-a1fe-2dd2686ff261

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J-spectral factorization and equalizing vectors

Autor: Orest Iftime, Hans Zwart

Publikováno v: Systems and control letters, 43(5), 321-327. Elsevier

For the Wiener class of matrix-valued functions we provide necessary and sufficient conditions for the existence of a J-spectral factorization. One of these conditions is in terms of equalizing vectors. The second one states that the existence of a J

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44e6492b43b56e3052b71d7db8bf5acf
https://research.utwente.nl/en/publications/c3ded172-41c7-4cdd-bbe5-a8e09101f71e

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