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" #    "   $                 % &     %   & ’                                              (          )                      )               )                              )*& ( * ( BOL5_10141 threshold_oscil + , γ +-.... N+-... %&                %&                            /   %&          "  )      oscillate_behavior             Tsup     threshold_oscil #            ( )*& ( * ( HALFAC3_10186 threshold_oscil + , γ +-.... N+-...       )) $)++,!)$&!&!)$ -$&*&  ) )!$*!)$ ,.!,! )                 "                  )                                  "           )’ / 0       ∫ + = - & % i i t t i dt t Y IAE ; true behavior _ oscillate oscil _ threshold counter counter counter ; γ counter counter T IAE ) t ( Y Y(t) i i = ≥ ⋅ = + ⋅ =         ⋅ ≥ ∆ - ≠    -    & - %  & % %  γ ξ σ 1(                        Y(t) ∆          σ σ σ        " %&      ξ ξ ξ      ∑ = = N i i Y N - 2 - σ σ ξ } Y { max i N ,..., i - = = :          )   γ γ γ is      ( sup T h - = - γ i i IAE T ∆ σξ ⋅ 01 021 01 01 021 01 ))) $)++,!)$&!&!)$ -$&*&  #            IAEs    ’ 3   #       IAEs                 )*& 3 ) IAE         ( 452  - . 2 2 - 2 - 2 2 , , i , dt ) t ( Y B , dt ) t ( Y A i i i i t t i t t i = = = ∫ ∫ + + +  N        t2i, t2i+1, t2i+2     #              %6 2&( ; true behavior _ oscillate oscil _ threshold counter ); B _ semicycle A _ semicycle ( counter counter B B ) t ( Y Y(t) ; A _ semicycle ; A _ semicycle A A ) t ( Y Y(t) i i i i i i i i = ≥ ⋅ + ⋅ =         < < ∧ < < - > = =         < < ∧ < < - < + + + +     - -   & - %  & % %  .  -  - -   & - %  & % %  - - - - γ β ε ε β α α β δ δ β α α       )*& 4( * ( BOL5_10141 threshold_oscil = 3 γ +-.... α+.2 β + .7 %& )      %&           %6 2&  %&        %& %& %& )          %6 2&         $        )               IAEi    ∆Ti         %6 28&( ( ; true behavior _ oscillate oscil _ threshold counter ); B _ semicycle A _ semicycle ( counter counter B B ) t ( Y Y(t) ; A _ semicycle ; A _ semicycle A A ) t ( Y Y(t) i i i i i i i i = ≥ ⋅ + ⋅ =         < < ∧ < < - > = =         < < ∧ < < - < + + + +     - -   & - %  & % %  .  -  - -   & - %  & % %  - - - - γ β ε ε β α α β δ δ β α α )*& 5( * ( BOL5_10141 threshold_oscil + 3 γ +-.... α+.2 β + .7 N+7.. %6 28&