THÈSE DE DOCTORAT Ecole Doctorale « Sciences et ...
THÈSE DE DOCTORAT Ecole Doctorale « Sciences et ...
THÈSE DE DOCTORAT Ecole Doctorale « Sciences et ...
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208 Annexe D. Théorèmes du p<strong>et</strong>it gain pour des systèmes paramétrés<br />
β 2 (2η ω 1<br />
2 (γωb 2<br />
1 (ηωa 2<br />
2 (β 2(s,0)))), t 2 ),<br />
β 2 (2η ωa 2<br />
2 (β 2(s,0)), t 2 ),β 2(2η ωa 2<br />
2 (γω 1<br />
2 (β 1(s,0))), t 2 ),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (α 2(s)))), t 2 ),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (β 1(s,0))))), t 2 ),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γωa 2<br />
1 (β 2(s,0)))))), t 2 ),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γωb 2<br />
1 (α 2(s)))))), t 2 ),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γωb 2<br />
1 (ηωa 2<br />
2 (β 2(s,0))))))), t 2 ),<br />
γ ω 1<br />
2 (β 1(β 1 (s,0), t 2 )),γω 1<br />
2 (β 1(γ ωa 2<br />
1 (β 2(s,0)), t 2 )),<br />
γ ω 1<br />
2 (β 1(γ ωb 2<br />
1 (α 2(s)), t 2 )),<br />
γ ω 1<br />
2 (β 1(γ ωb 2<br />
1 (ηωa 2<br />
2 (β 2(s,0))), t 2 )) }, (D.111)<br />
˜σ u 2 (s) = max {β 2 (2γ ω 1<br />
2 (γu 1 (s)),0),<br />
β 2 (2γ ω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γωa 2<br />
1 (γu 2 (s))))),0),<br />
β 2 (2γ ω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γu 1 (s)))),0),<br />
β 2 (2γ ω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γωb 2<br />
1 (ηωa 2<br />
2 (γu 2 (s)))))),0),<br />
β 2 (2γ ω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γωb 2<br />
1 (ηu 2 (s))))),0),β 2(2γ ω 1<br />
2 (γωb 2<br />
1 (ηu 2 (s))),0),<br />
β 2 (2γ u 2 (s),0),β 2 (2η ω 1<br />
2 (γωa 2<br />
1 (γu 2 (s))),0),<br />
β 2 (2η ω 1<br />
2 (γu 1 (s)),0),β 2 (2η ω 1<br />
2 (γωb 2<br />
1 (ηωa 2<br />
2 (γu 2 (s)))),0),<br />
β 2 (2η ω 1<br />
2 (γωb 2<br />
1 (ηu 2 (s))),0),β 2(2η ωa 2<br />
2 (γω 1<br />
2 (γu 1 (s))),0),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γωa 2<br />
1 (γu 2 (s)))))),0),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γu 1 (s))))),0),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γωb 2<br />
1 (ηωa 2<br />
2 (γu 2 (s))))))),0),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (ηω 1<br />
2 (γωb 2<br />
1 (ηu 2 (s)))))),0),<br />
β 2 (2η ωa 2<br />
2 (γω 1<br />
2 (γωb 2<br />
1 (ηu 2 (s)))),0),β 2(2η ωa 2<br />
2 (γu 2 (s)),0),β 2(2η u 2 (s,0)),<br />
γ ω 1<br />
2 (β 1(γ ωa 2<br />
1 (γu 2 (s)),0)),γ ω 1<br />
2 (β 1(γ u 1 (s),0)),<br />
γ ω 1<br />
2 (β 1(γ ωb 2<br />
1 (ηωa 2<br />
2 (γu 2 (s))),0)),γ ω 1<br />
2 (β 1(γ ωb 2<br />
1 (ηu 2 (s)),0)),
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