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  • 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)
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)
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)
skos:notation
  • RIV/68407700:21230/04:03106388!RIV/2005/GA0/212305/N
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  • P(GA102/02/0709), P(ME 698)
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  • RIV/68407700:21230/04:03106388
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  • Lyapunov functions; linear systems; robust stability (en)
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  • [AFE4552D9E54]
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  • Henrion, Didier
  • Arzelier, D.
  • Lasserre, J.-B.
  • Paucelle, D.
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  • 0-7803-8683-3
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  • 21230
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