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rdf:type
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Description
| - Není k dispozici (cs)
- For a linear system affected by real parametric uncertainty, this paper focuses on robust stability analysis via quadratic-in-the-state Lyapunov functions polynomially dependent on the parameters. The contribution is twofold. First, if n denotes the system order and m the number of parameters, it is shown that it is enough to seek a parameterdependent Lyapunov function of given degree 2nm in the parameters. Second, it is shown that robust stability can be assessed by globally minimizing a multivariate scalar polynomial related with this Lyapunov matrix. A hierarchy of LMI relaxations is proposed to solve this problem numerically, yielding simultaneously upper and lower bounds on the global minimum with guarantee of asymptotic convergence.
- For a linear system affected by real parametric uncertainty, this paper focuses on robust stability analysis via quadratic-in-the-state Lyapunov functions polynomially dependent on the parameters. The contribution is twofold. First, if n denotes the system order and m the number of parameters, it is shown that it is enough to seek a parameterdependent Lyapunov function of given degree 2nm in the parameters. Second, it is shown that robust stability can be assessed by globally minimizing a multivariate scalar polynomial related with this Lyapunov matrix. A hierarchy of LMI relaxations is proposed to solve this problem numerically, yielding simultaneously upper and lower bounds on the global minimum with guarantee of asymptotic convergence. (en)
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Title
| - Není k dispozici (cs)
- On parameter-dependent Lyapunov functions for robust stability of linear systems
- On parameter-dependent Lyapunov functions for robust stability of linear systems (en)
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skos:prefLabel
| - Není k dispozici (cs)
- On parameter-dependent Lyapunov functions for robust stability of linear systems
- On parameter-dependent Lyapunov functions for robust stability of linear systems (en)
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skos:notation
| - RIV/68407700:21230/04:03106388!RIV/2005/GA0/212305/N
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(GA102/02/0709), P(ME 698)
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/68407700:21230/04:03106388
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Lyapunov functions; linear systems; robust stability (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...i/riv/kodPristupu
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/mistoVydani
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http://linked.open...n/vavai/riv/nosic
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...iv/tvurceVysledku
| - Henrion, Didier
- Arzelier, D.
- Lasserre, J.-B.
- Paucelle, D.
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https://schema.org/isbn
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http://localhost/t...ganizacniJednotka
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