id sid tid token lemma pos cj82k645f2t 1 1 the the DET cj82k645f2t 1 2 performance performance NOUN cj82k645f2t 1 3 of of ADP cj82k645f2t 1 4 thermal thermal ADJ cj82k645f2t 1 5 control control NOUN cj82k645f2t 1 6 systems system NOUN cj82k645f2t 1 7 has have AUX cj82k645f2t 1 8 , , PUNCT cj82k645f2t 1 9 in in ADP cj82k645f2t 1 10 recent recent ADJ cj82k645f2t 1 11 years year NOUN cj82k645f2t 1 12 , , PUNCT cj82k645f2t 1 13 improved improve VERB cj82k645f2t 1 14 in in ADP cj82k645f2t 1 15 numerous numerous ADJ cj82k645f2t 1 16 ways way NOUN cj82k645f2t 1 17 due due ADJ cj82k645f2t 1 18 to to ADP cj82k645f2t 1 19 developments development NOUN cj82k645f2t 1 20 in in ADP cj82k645f2t 1 21 control control NOUN cj82k645f2t 1 22 theory theory NOUN cj82k645f2t 1 23 and and CCONJ cj82k645f2t 1 24 information information NOUN cj82k645f2t 1 25 technology technology NOUN cj82k645f2t 1 26 . . PUNCT cj82k645f2t 2 1 however however ADV cj82k645f2t 2 2 , , PUNCT cj82k645f2t 2 3 our our PRON cj82k645f2t 2 4 understanding understanding NOUN cj82k645f2t 2 5 of of ADP cj82k645f2t 2 6 controllability controllability NOUN cj82k645f2t 2 7 and and CCONJ cj82k645f2t 2 8 related related ADJ cj82k645f2t 2 9 questions question NOUN cj82k645f2t 2 10 remain remain VERB cj82k645f2t 2 11 rudimentary rudimentary ADJ cj82k645f2t 2 12 . . PUNCT cj82k645f2t 3 1 the the DET cj82k645f2t 3 2 main main ADJ cj82k645f2t 3 3 characteristics characteristic NOUN cj82k645f2t 3 4 of of ADP cj82k645f2t 3 5 thermal thermal ADJ cj82k645f2t 3 6 systems system NOUN cj82k645f2t 3 7 that that PRON cj82k645f2t 3 8 we we PRON cj82k645f2t 3 9 are be AUX cj82k645f2t 3 10 interested interested ADJ cj82k645f2t 3 11 in in ADP cj82k645f2t 3 12 are be AUX cj82k645f2t 3 13 their their PRON cj82k645f2t 3 14 distributed distribute VERB cj82k645f2t 3 15 nature nature NOUN cj82k645f2t 3 16 and and CCONJ cj82k645f2t 3 17 delay delay NOUN cj82k645f2t 3 18 due due ADP cj82k645f2t 3 19 to to ADP cj82k645f2t 3 20 fluid fluid ADJ cj82k645f2t 3 21 advection advection NOUN cj82k645f2t 3 22 from from ADP cj82k645f2t 3 23 one one NUM cj82k645f2t 3 24 point point NOUN cj82k645f2t 3 25 to to ADP cj82k645f2t 3 26 another another PRON cj82k645f2t 3 27 . . PUNCT cj82k645f2t 4 1 two two NUM cj82k645f2t 4 2 basic basic ADJ cj82k645f2t 4 3 systems system NOUN cj82k645f2t 4 4 , , PUNCT cj82k645f2t 4 5 heat heat NOUN cj82k645f2t 4 6 exchangers exchanger NOUN cj82k645f2t 4 7 and and CCONJ cj82k645f2t 4 8 long long ADJ cj82k645f2t 4 9 ducts duct NOUN cj82k645f2t 4 10 , , PUNCT cj82k645f2t 4 11 are be AUX cj82k645f2t 4 12 investigated investigate VERB cj82k645f2t 4 13 , , PUNCT cj82k645f2t 4 14 and and CCONJ cj82k645f2t 4 15 the the DET cj82k645f2t 4 16 following follow VERB cj82k645f2t 4 17 issues issue NOUN cj82k645f2t 4 18 are be AUX cj82k645f2t 4 19 addressed address VERB cj82k645f2t 4 20 . . PUNCT cj82k645f2t 5 1 ( ( PUNCT cj82k645f2t 5 2 a a X cj82k645f2t 5 3 ) ) PUNCT cj82k645f2t 5 4 the the DET cj82k645f2t 5 5 first first ADJ cj82k645f2t 5 6 is be AUX cj82k645f2t 5 7 controllability controllability NOUN cj82k645f2t 5 8 for for SCONJ cj82k645f2t 5 9 which which DET cj82k645f2t 5 10 conductive conductive ADJ cj82k645f2t 5 11 - - PUNCT cj82k645f2t 5 12 convective convective NOUN cj82k645f2t 5 13 systems system NOUN cj82k645f2t 5 14 and and CCONJ cj82k645f2t 5 15 cross cross ADJ cj82k645f2t 5 16 - - ADJ cj82k645f2t 5 17 flow flow ADJ cj82k645f2t 5 18 heat heat NOUN cj82k645f2t 5 19 exchangers exchanger NOUN cj82k645f2t 5 20 are be AUX cj82k645f2t 5 21 examined examine VERB cj82k645f2t 5 22 in in ADP cj82k645f2t 5 23 detail detail NOUN cj82k645f2t 5 24 . . PUNCT cj82k645f2t 6 1 in in ADP cj82k645f2t 6 2 the the DET cj82k645f2t 6 3 heat heat NOUN cj82k645f2t 6 4 exchanger exchanger NOUN cj82k645f2t 6 5 , , PUNCT cj82k645f2t 6 6 controllability controllability NOUN cj82k645f2t 6 7 results result NOUN cj82k645f2t 6 8 for for ADP cj82k645f2t 6 9 different different ADJ cj82k645f2t 6 10 choices choice NOUN cj82k645f2t 6 11 of of ADP cj82k645f2t 6 12 the the DET cj82k645f2t 6 13 manipulated manipulated ADJ cj82k645f2t 6 14 variable variable NOUN cj82k645f2t 6 15 are be AUX cj82k645f2t 6 16 presented present VERB cj82k645f2t 6 17 . . PUNCT cj82k645f2t 7 1 ( ( PUNCT cj82k645f2t 7 2 b b X cj82k645f2t 7 3 ) ) PUNCT cj82k645f2t 7 4 the the DET cj82k645f2t 7 5 second second ADJ cj82k645f2t 7 6 is be AUX cj82k645f2t 7 7 the the DET cj82k645f2t 7 8 control control NOUN cj82k645f2t 7 9 methodology methodology NOUN cj82k645f2t 7 10 for for ADP cj82k645f2t 7 11 the the DET cj82k645f2t 7 12 outlet outlet NOUN cj82k645f2t 7 13 temperature temperature NOUN cj82k645f2t 7 14 in in ADP cj82k645f2t 7 15 cross cross ADJ cj82k645f2t 7 16 - - ADJ cj82k645f2t 7 17 flow flow ADJ cj82k645f2t 7 18 heat heat NOUN cj82k645f2t 7 19 exchangers exchanger NOUN cj82k645f2t 7 20 . . PUNCT cj82k645f2t 8 1 a a DET cj82k645f2t 8 2 transient transient ADJ cj82k645f2t 8 3 model model NOUN cj82k645f2t 8 4 is be AUX cj82k645f2t 8 5 developed develop VERB cj82k645f2t 8 6 and and CCONJ cj82k645f2t 8 7 tested test VERB cj82k645f2t 8 8 . . PUNCT cj82k645f2t 9 1 the the DET cj82k645f2t 9 2 response response NOUN cj82k645f2t 9 3 of of ADP cj82k645f2t 9 4 this this DET cj82k645f2t 9 5 system system NOUN cj82k645f2t 9 6 to to PART cj82k645f2t 9 7 control control VERB cj82k645f2t 9 8 strategies strategy NOUN cj82k645f2t 9 9 is be AUX cj82k645f2t 9 10 studied study VERB cj82k645f2t 9 11 and and CCONJ cj82k645f2t 9 12 the the DET cj82k645f2t 9 13 performance performance NOUN cj82k645f2t 9 14 of of ADP cj82k645f2t 9 15 a a DET cj82k645f2t 9 16 proportional proportional ADJ cj82k645f2t 9 17 - - PUNCT cj82k645f2t 9 18 integral integral ADJ cj82k645f2t 9 19 ( ( PUNCT cj82k645f2t 9 20 pi pi NOUN cj82k645f2t 9 21 ) ) PUNCT cj82k645f2t 9 22 controller controller NOUN cj82k645f2t 9 23 to to ADP cj82k645f2t 9 24 disturbances disturbance NOUN cj82k645f2t 9 25 in in ADP cj82k645f2t 9 26 the the DET cj82k645f2t 9 27 system system NOUN cj82k645f2t 9 28 is be AUX cj82k645f2t 9 29 presented present VERB cj82k645f2t 9 30 . . PUNCT cj82k645f2t 10 1 ( ( PUNCT cj82k645f2t 10 2 c c X cj82k645f2t 10 3 ) ) PUNCT cj82k645f2t 10 4 the the DET cj82k645f2t 10 5 third third NOUN cj82k645f2t 10 6 is be AUX cj82k645f2t 10 7 the the DET cj82k645f2t 10 8 effect effect NOUN cj82k645f2t 10 9 of of ADP cj82k645f2t 10 10 delay delay NOUN cj82k645f2t 10 11 in in ADP cj82k645f2t 10 12 heating heating NOUN cj82k645f2t 10 13 or or CCONJ cj82k645f2t 10 14 cooling cool VERB cj82k645f2t 10 15 in in ADP cj82k645f2t 10 16 long long ADJ cj82k645f2t 10 17 ducts duct NOUN cj82k645f2t 10 18 in in ADP cj82k645f2t 10 19 which which PRON cj82k645f2t 10 20 the the DET cj82k645f2t 10 21 flow flow NOUN cj82k645f2t 10 22 velocity velocity NOUN cj82k645f2t 10 23 is be AUX cj82k645f2t 10 24 the the DET cj82k645f2t 10 25 manipulated manipulated ADJ cj82k645f2t 10 26 variable variable NOUN cj82k645f2t 10 27 . . PUNCT cj82k645f2t 11 1 the the DET cj82k645f2t 11 2 governing govern VERB cj82k645f2t 11 3 first first ADJ cj82k645f2t 11 4 - - PUNCT cj82k645f2t 11 5 order order NOUN cj82k645f2t 11 6 partial partial ADJ cj82k645f2t 11 7 differential differential ADJ cj82k645f2t 11 8 equation equation NOUN cj82k645f2t 11 9 is be AUX cj82k645f2t 11 10 transformed transform VERB cj82k645f2t 11 11 to to ADP cj82k645f2t 11 12 a a DET cj82k645f2t 11 13 nonlinear nonlinear ADJ cj82k645f2t 11 14 dynamical dynamical ADJ cj82k645f2t 11 15 system system NOUN cj82k645f2t 11 16 represented represent VERB cj82k645f2t 11 17 by by ADP cj82k645f2t 11 18 an an DET cj82k645f2t 11 19 integro integro ADJ cj82k645f2t 11 20 - - PUNCT cj82k645f2t 11 21 differential differential ADJ cj82k645f2t 11 22 equation equation NOUN cj82k645f2t 11 23 in in ADP cj82k645f2t 11 24 the the DET cj82k645f2t 11 25 residence residence NOUN cj82k645f2t 11 26 time time NOUN cj82k645f2t 11 27 of of ADP cj82k645f2t 11 28 the the DET cj82k645f2t 11 29 fluid fluid NOUN cj82k645f2t 11 30 in in ADP cj82k645f2t 11 31 the the DET cj82k645f2t 11 32 duct duct NOUN cj82k645f2t 11 33 . . PUNCT cj82k645f2t 12 1 both both CCONJ cj82k645f2t 12 2 eulerian eulerian ADJ cj82k645f2t 12 3 and and CCONJ cj82k645f2t 12 4 lagrangian lagrangian ADJ cj82k645f2t 12 5 versions version NOUN cj82k645f2t 12 6 of of ADP cj82k645f2t 12 7 the the DET cj82k645f2t 12 8 equation equation NOUN cj82k645f2t 12 9 are be AUX cj82k645f2t 12 10 numerically numerically ADV cj82k645f2t 12 11 solved solve VERB cj82k645f2t 12 12 . . PUNCT cj82k645f2t 13 1 a a DET cj82k645f2t 13 2 pi pi NOUN cj82k645f2t 13 3 - - PUNCT cj82k645f2t 13 4 based base VERB cj82k645f2t 13 5 controller controller NOUN cj82k645f2t 13 6 is be AUX cj82k645f2t 13 7 used use VERB cj82k645f2t 13 8 to to PART cj82k645f2t 13 9 control control VERB cj82k645f2t 13 10 the the DET cj82k645f2t 13 11 duct duct NOUN cj82k645f2t 13 12 outlet outlet PROPN cj82k645f2t 13 13 temperature temperature PROPN cj82k645f2t 13 14 . . PUNCT cj82k645f2t 14 1 investigation investigation NOUN cj82k645f2t 14 2 of of ADP cj82k645f2t 14 3 the the DET cj82k645f2t 14 4 linear linear ADJ cj82k645f2t 14 5 stability stability NOUN cj82k645f2t 14 6 of of ADP cj82k645f2t 14 7 the the DET cj82k645f2t 14 8 system system NOUN cj82k645f2t 14 9 leads lead VERB cj82k645f2t 14 10 to to ADP cj82k645f2t 14 11 a a DET cj82k645f2t 14 12 transcendental transcendental ADJ cj82k645f2t 14 13 equation equation NOUN cj82k645f2t 14 14 for for ADP cj82k645f2t 14 15 which which PRON cj82k645f2t 14 16 pontryagin pontryagin NOUN cj82k645f2t 14 17 's 's PART cj82k645f2t 14 18 theorem theorem NOUN cj82k645f2t 14 19 can can AUX cj82k645f2t 14 20 be be AUX cj82k645f2t 14 21 applied apply VERB cj82k645f2t 14 22 . . PUNCT cj82k645f2t 15 1 the the DET cj82k645f2t 15 2 stability stability NOUN cj82k645f2t 15 3 map map NOUN cj82k645f2t 15 4 for for ADP cj82k645f2t 15 5 the the DET cj82k645f2t 15 6 controller controller NOUN cj82k645f2t 15 7 parameters parameter NOUN cj82k645f2t 15 8 is be AUX cj82k645f2t 15 9 obtained obtain VERB cj82k645f2t 15 10 and and CCONJ cj82k645f2t 15 11 the the DET cj82k645f2t 15 12 effect effect NOUN cj82k645f2t 15 13 of of ADP cj82k645f2t 15 14 the the DET cj82k645f2t 15 15 residence residence NOUN cj82k645f2t 15 16 time time NOUN cj82k645f2t 15 17 on on ADP cj82k645f2t 15 18 the the DET cj82k645f2t 15 19 system system NOUN cj82k645f2t 15 20 stability stability NOUN cj82k645f2t 15 21 is be AUX cj82k645f2t 15 22 determined determine VERB cj82k645f2t 15 23 . . PUNCT cj82k645f2t 16 1 simple simple ADJ cj82k645f2t 16 2 as as ADV cj82k645f2t 16 3 well well ADV cj82k645f2t 16 4 as as ADP cj82k645f2t 16 5 suband suband NOUN cj82k645f2t 16 6 super super ADJ cj82k645f2t 16 7 - - ADJ cj82k645f2t 16 8 critical critical ADJ cj82k645f2t 16 9 hopf hopf NOUN cj82k645f2t 16 10 bifurcations bifurcation NOUN cj82k645f2t 16 11 are be AUX cj82k645f2t 16 12 found find VERB cj82k645f2t 16 13 . . PUNCT