Stabilization of polytopes of plants by their vertices | Zendy

Fonte Christophe | Zendy; Meddeb Houda | Zendy; Zasadzinski Michel | Zendy

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Stabilization of polytopes of plants by their vertices

Author(s) -

Fonte Christophe,

Meddeb Houda,

Zasadzinski Michel

Publication year - 2019

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.4731

Subject(s) - polytope , mathematics , constructive , combinatorics , invariant (physics) , hermite polynomials , enhanced data rates for gsm evolution , discrete mathematics , pure mathematics , computer science , process (computing) , telecommunications , operating system , mathematical physics

Summary This paper aims to assess the stability of a polytope of linear systems by their vertices. These results are based on the Hermite‐Biehler and Edge theorems. A sufficient condition satisfying a constraint on the even (or odd) part of the closed‐loop characteristic polynomials associated with the stabilization of its vertices is proved. Finally, a constructive method to stabilize a polytope of plants with simultaneous and robust linear time‐invariant controllers is established.

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