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  • The paper presents a simple method to stabilise spatially invariant systems described by a parabolic partial differential equation with one temporal and two spatial variables. The method is based on the double use of a technique for the stabilisation of systems with one temporal and one spatial variables. Systems and controllers are described by transfer functions. The stabilisation uses an equivalence of stability of the closed-loop characteristic polynomial and positiveness of a certain symmetric polynomial matrix. Illustrative examples and numerical simulations are included
  • The paper presents a simple method to stabilise spatially invariant systems described by a parabolic partial differential equation with one temporal and two spatial variables. The method is based on the double use of a technique for the stabilisation of systems with one temporal and one spatial variables. Systems and controllers are described by transfer functions. The stabilisation uses an equivalence of stability of the closed-loop characteristic polynomial and positiveness of a certain symmetric polynomial matrix. Illustrative examples and numerical simulations are included (en)
Title
  • A simple method for stabilisation of (2+1)D systems
  • A simple method for stabilisation of (2+1)D systems (en)
skos:prefLabel
  • A simple method for stabilisation of (2+1)D systems
  • A simple method for stabilisation of (2+1)D systems (en)
skos:notation
  • RIV/67985556:_____/13:00395890!RIV14-GA0-67985556
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  • I, P(GPP103/12/P494)
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  • 59064
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  • RIV/67985556:_____/13:00395890
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  • spatially invariant system; stabilisation; positive polynomial (en)
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  • [B7E63FBD1F15]
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  • Erlangen
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  • Erlangen
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  • Proceedings of the 8th Int. Workshop on Multidimensional Systems (nDS 13)
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  • Augusta, Petr
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number of pages
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  • VDE Verlag GMBH 2013
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  • 978-3-8007-3543-3
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