id sid tid token lemma pos 6w924b3189j 1 1 an an DET 6w924b3189j 1 2 optimal optimal ADJ 6w924b3189j 1 3 k k X 6w924b3189j 1 4 - - PUNCT 6w924b3189j 1 5 cost cost NOUN 6w924b3189j 1 6 - - PUNCT 6w924b3189j 1 7 cumulant cumulant ADJ 6w924b3189j 1 8 ( ( PUNCT 6w924b3189j 1 9 kcc kcc PROPN 6w924b3189j 1 10 ) ) PUNCT 6w924b3189j 1 11 control control NOUN 6w924b3189j 1 12 problem problem NOUN 6w924b3189j 1 13 is be AUX 6w924b3189j 1 14 formulated formulate VERB 6w924b3189j 1 15 , , PUNCT 6w924b3189j 1 16 in in ADP 6w924b3189j 1 17 which which PRON 6w924b3189j 1 18 the the DET 6w924b3189j 1 19 objective objective NOUN 6w924b3189j 1 20 is be AUX 6w924b3189j 1 21 minimization minimization NOUN 6w924b3189j 1 22 of of ADP 6w924b3189j 1 23 a a DET 6w924b3189j 1 24 finite finite ADJ 6w924b3189j 1 25 linear linear ADJ 6w924b3189j 1 26 combination combination NOUN 6w924b3189j 1 27 of of ADP 6w924b3189j 1 28 the the DET 6w924b3189j 1 29 first first ADJ 6w924b3189j 1 30 k k PROPN 6w924b3189j 1 31 cost cost NOUN 6w924b3189j 1 32 cumulants cumulant NOUN 6w924b3189j 1 33 of of ADP 6w924b3189j 1 34 a a DET 6w924b3189j 1 35 finite finite ADJ 6w924b3189j 1 36 - - PUNCT 6w924b3189j 1 37 horizon horizon NOUN 6w924b3189j 1 38 integral integral ADJ 6w924b3189j 1 39 quadratic quadratic ADJ 6w924b3189j 1 40 cost cost NOUN 6w924b3189j 1 41 associated associate VERB 6w924b3189j 1 42 with with ADP 6w924b3189j 1 43 a a DET 6w924b3189j 1 44 linear linear ADJ 6w924b3189j 1 45 stochastic stochastic ADJ 6w924b3189j 1 46 system system NOUN 6w924b3189j 1 47 , , PUNCT 6w924b3189j 1 48 when when SCONJ 6w924b3189j 1 49 the the DET 6w924b3189j 1 50 controller controller NOUN 6w924b3189j 1 51 measures measure VERB 6w924b3189j 1 52 the the DET 6w924b3189j 1 53 states state NOUN 6w924b3189j 1 54 . . PUNCT 6w924b3189j 2 1 this this DET 6w924b3189j 2 2 problem problem NOUN 6w924b3189j 2 3 not not PART 6w924b3189j 2 4 only only ADV 6w924b3189j 2 5 defines define VERB 6w924b3189j 2 6 a a DET 6w924b3189j 2 7 very very ADV 6w924b3189j 2 8 general general ADJ 6w924b3189j 2 9 linear linear ADJ 6w924b3189j 2 10 - - PUNCT 6w924b3189j 2 11 quadratic quadratic ADJ 6w924b3189j 2 12 gaussian gaussian ADJ 6w924b3189j 2 13 problem problem NOUN 6w924b3189j 2 14 class class NOUN 6w924b3189j 2 15 , , PUNCT 6w924b3189j 2 16 but but CCONJ 6w924b3189j 2 17 also also ADV 6w924b3189j 2 18 may may AUX 6w924b3189j 2 19 be be AUX 6w924b3189j 2 20 seen see VERB 6w924b3189j 2 21 as as ADP 6w924b3189j 2 22 an an DET 6w924b3189j 2 23 approximation approximation NOUN 6w924b3189j 2 24 in in ADP 6w924b3189j 2 25 some some DET 6w924b3189j 2 26 sense sense NOUN 6w924b3189j 2 27 to to ADP 6w924b3189j 2 28 the the DET 6w924b3189j 2 29 theory theory NOUN 6w924b3189j 2 30 of of ADP 6w924b3189j 2 31 risk risk NOUN 6w924b3189j 2 32 sensitive sensitive ADJ 6w924b3189j 2 33 control control NOUN 6w924b3189j 2 34 . . PUNCT 6w924b3189j 3 1 the the DET 6w924b3189j 3 2 solution solution NOUN 6w924b3189j 3 3 is be AUX 6w924b3189j 3 4 obtained obtain VERB 6w924b3189j 3 5 by by ADP 6w924b3189j 3 6 a a DET 6w924b3189j 3 7 more more ADV 6w924b3189j 3 8 direct direct ADJ 6w924b3189j 3 9 dynamic dynamic ADJ 6w924b3189j 3 10 programming programming NOUN 6w924b3189j 3 11 approach approach NOUN 6w924b3189j 3 12 to to ADP 6w924b3189j 3 13 the the DET 6w924b3189j 3 14 kcc kcc PROPN 6w924b3189j 3 15 initial initial ADJ 6w924b3189j 3 16 - - PUNCT 6w924b3189j 3 17 cost cost NOUN 6w924b3189j 3 18 problem problem NOUN 6w924b3189j 3 19 . . PUNCT 6w924b3189j 4 1 moreover moreover ADV 6w924b3189j 4 2 , , PUNCT 6w924b3189j 4 3 the the DET 6w924b3189j 4 4 research research NOUN 6w924b3189j 4 5 continues continue VERB 6w924b3189j 4 6 with with ADP 6w924b3189j 4 7 a a DET 6w924b3189j 4 8 development development NOUN 6w924b3189j 4 9 of of ADP 6w924b3189j 4 10 cost cost NOUN 6w924b3189j 4 11 cumulants cumulant NOUN 6w924b3189j 4 12 per per ADP 6w924b3189j 4 13 unit unit NOUN 6w924b3189j 4 14 time time NOUN 6w924b3189j 4 15 in in ADP 6w924b3189j 4 16 infinite infinite PROPN 6w924b3189j 4 17 horizon horizon PROPN 6w924b3189j 4 18 control control NOUN 6w924b3189j 4 19 for for ADP 6w924b3189j 4 20 the the DET 6w924b3189j 4 21 state state NOUN 6w924b3189j 4 22 - - PUNCT 6w924b3189j 4 23 feedback feedback NOUN 6w924b3189j 4 24 kcc kcc PROPN 6w924b3189j 4 25 problem problem NOUN 6w924b3189j 4 26 . . PUNCT 6w924b3189j 5 1 a a DET 6w924b3189j 5 2 constant constant ADJ 6w924b3189j 5 3 controller controller NOUN 6w924b3189j 5 4 is be AUX 6w924b3189j 5 5 obtained obtain VERB 6w924b3189j 5 6 by by ADP 6w924b3189j 5 7 using use VERB 6w924b3189j 5 8 a a DET 6w924b3189j 5 9 lagrange lagrange ADJ 6w924b3189j 5 10 multiplier multipli ADJ 6w924b3189j 5 11 technique technique NOUN 6w924b3189j 5 12 . . PUNCT 6w924b3189j 6 1 the the DET 6w924b3189j 6 2 performance performance NOUN 6w924b3189j 6 3 and and CCONJ 6w924b3189j 6 4 stability stability NOUN 6w924b3189j 6 5 properties property NOUN 6w924b3189j 6 6 of of ADP 6w924b3189j 6 7 kcc kcc PROPN 6w924b3189j 6 8 controllers controller NOUN 6w924b3189j 6 9 are be AUX 6w924b3189j 6 10 discussed discuss VERB 6w924b3189j 6 11 at at ADP 6w924b3189j 6 12 length length NOUN 6w924b3189j 6 13 . . PUNCT 6w924b3189j 7 1 a a DET 6w924b3189j 7 2 theory theory NOUN 6w924b3189j 7 3 of of ADP 6w924b3189j 7 4 output output NOUN 6w924b3189j 7 5 feedback feedback NOUN 6w924b3189j 7 6 for for ADP 6w924b3189j 7 7 the the DET 6w924b3189j 7 8 linear linear ADJ 6w924b3189j 7 9 - - PUNCT 6w924b3189j 7 10 quadratic quadratic ADJ 6w924b3189j 7 11 kcc kcc PROPN 6w924b3189j 7 12 problem problem NOUN 6w924b3189j 7 13 class class NOUN 6w924b3189j 7 14 is be AUX 6w924b3189j 7 15 also also ADV 6w924b3189j 7 16 developed develop VERB 6w924b3189j 7 17 . . PUNCT 6w924b3189j 8 1 under under ADP 6w924b3189j 8 2 linearity linearity NOUN 6w924b3189j 8 3 and and CCONJ 6w924b3189j 8 4 gaussian gaussian ADJ 6w924b3189j 8 5 assumptions assumption NOUN 6w924b3189j 8 6 , , PUNCT 6w924b3189j 8 7 it it PRON 6w924b3189j 8 8 is be AUX 6w924b3189j 8 9 reasonable reasonable ADJ 6w924b3189j 8 10 to to PART 6w924b3189j 8 11 conclude conclude VERB 6w924b3189j 8 12 that that SCONJ 6w924b3189j 8 13 kalman kalman NOUN 6w924b3189j 8 14 - - PUNCT 6w924b3189j 8 15 state state NOUN 6w924b3189j 8 16 estimates estimate NOUN 6w924b3189j 8 17 contain contain VERB 6w924b3189j 8 18 all all DET 6w924b3189j 8 19 statistical statistical ADJ 6w924b3189j 8 20 information information NOUN 6w924b3189j 8 21 . . PUNCT 6w924b3189j 9 1 henceforth henceforth ADV 6w924b3189j 9 2 , , PUNCT 6w924b3189j 9 3 the the DET 6w924b3189j 9 4 finite finite NOUN 6w924b3189j 9 5 - - PUNCT 6w924b3189j 9 6 horizon horizon NOUN 6w924b3189j 9 7 kcc kcc PROPN 6w924b3189j 9 8 control control PROPN 6w924b3189j 9 9 problem problem NOUN 6w924b3189j 9 10 with with ADP 6w924b3189j 9 11 kalman kalman NOUN 6w924b3189j 9 12 state state NOUN 6w924b3189j 9 13 - - PUNCT 6w924b3189j 9 14 estimate estimate NOUN 6w924b3189j 9 15 feedback feedback NOUN 6w924b3189j 9 16 laws law NOUN 6w924b3189j 9 17 is be AUX 6w924b3189j 9 18 formulated formulate VERB 6w924b3189j 9 19 . . PUNCT 6w924b3189j 10 1 solutions solution NOUN 6w924b3189j 10 2 to to ADP 6w924b3189j 10 3 the the DET 6w924b3189j 10 4 output output NOUN 6w924b3189j 10 5 - - PUNCT 6w924b3189j 10 6 feedback feedback NOUN 6w924b3189j 10 7 kcc kcc PROPN 6w924b3189j 10 8 control control NOUN 6w924b3189j 10 9 problem problem NOUN 6w924b3189j 10 10 having have VERB 6w924b3189j 10 11 both both CCONJ 6w924b3189j 10 12 standard standard ADJ 6w924b3189j 10 13 and and CCONJ 6w924b3189j 10 14 generalized generalized ADJ 6w924b3189j 10 15 finite finite ADJ 6w924b3189j 10 16 - - PUNCT 6w924b3189j 10 17 horizon horizon NOUN 6w924b3189j 10 18 integral integral ADJ 6w924b3189j 10 19 quadratic quadratic ADJ 6w924b3189j 10 20 costs cost NOUN 6w924b3189j 10 21 are be AUX 6w924b3189j 10 22 then then ADV 6w924b3189j 10 23 obtained obtain VERB 6w924b3189j 10 24 by by ADP 6w924b3189j 10 25 adapting adapt VERB 6w924b3189j 10 26 a a DET 6w924b3189j 10 27 dynamic dynamic ADJ 6w924b3189j 10 28 programming programming NOUN 6w924b3189j 10 29 technique technique NOUN 6w924b3189j 10 30 . . PUNCT 6w924b3189j 11 1 furthermore furthermore ADV 6w924b3189j 11 2 , , PUNCT 6w924b3189j 11 3 constant constant ADJ 6w924b3189j 11 4 controllers controller NOUN 6w924b3189j 11 5 measuring measure VERB 6w924b3189j 11 6 kalman kalman NOUN 6w924b3189j 11 7 state state NOUN 6w924b3189j 11 8 - - PUNCT 6w924b3189j 11 9 estimates estimate NOUN 6w924b3189j 11 10 for for ADP 6w924b3189j 11 11 the the DET 6w924b3189j 11 12 output output NOUN 6w924b3189j 11 13 - - PUNCT 6w924b3189j 11 14 feedback feedback NOUN 6w924b3189j 11 15 kcc kcc PROPN 6w924b3189j 11 16 problem problem NOUN 6w924b3189j 11 17 in in ADP 6w924b3189j 11 18 infinite infinite PROPN 6w924b3189j 11 19 horizon horizon PROPN 6w924b3189j 11 20 control control NOUN 6w924b3189j 11 21 are be AUX 6w924b3189j 11 22 also also ADV 6w924b3189j 11 23 derived derive VERB 6w924b3189j 11 24 by by ADP 6w924b3189j 11 25 a a DET 6w924b3189j 11 26 lagrange lagrange NOUN 6w924b3189j 11 27 multiplier multipli ADJ 6w924b3189j 11 28 theory theory NOUN 6w924b3189j 11 29 . . PUNCT 6w924b3189j 12 1 some some DET 6w924b3189j 12 2 kcc kcc PROPN 6w924b3189j 12 3 control control NOUN 6w924b3189j 12 4 strategies strategy NOUN 6w924b3189j 12 5 having have VERB 6w924b3189j 12 6 perfect perfect ADJ 6w924b3189j 12 7 state state NOUN 6w924b3189j 12 8 measurements measurement NOUN 6w924b3189j 12 9 for for ADP 6w924b3189j 12 10 linear linear ADJ 6w924b3189j 12 11 stochastic stochastic ADJ 6w924b3189j 12 12 differential differential ADJ 6w924b3189j 12 13 games game NOUN 6w924b3189j 12 14 and and CCONJ 6w924b3189j 12 15 the the DET 6w924b3189j 12 16 worst bad ADJ 6w924b3189j 12 17 - - PUNCT 6w924b3189j 12 18 case case NOUN 6w924b3189j 12 19 model model NOUN 6w924b3189j 12 20 scenarios scenario NOUN 6w924b3189j 12 21 are be AUX 6w924b3189j 12 22 subsequently subsequently ADV 6w924b3189j 12 23 proposed propose VERB 6w924b3189j 12 24 . . PUNCT 6w924b3189j 13 1 performance performance NOUN 6w924b3189j 13 2 sensitivity sensitivity NOUN 6w924b3189j 13 3 with with ADP 6w924b3189j 13 4 respect respect NOUN 6w924b3189j 13 5 to to ADP 6w924b3189j 13 6 system system NOUN 6w924b3189j 13 7 parameter parameter NOUN 6w924b3189j 13 8 variations variation NOUN 6w924b3189j 13 9 of of ADP 6w924b3189j 13 10 optimal optimal ADJ 6w924b3189j 13 11 kcc kcc PROPN 6w924b3189j 13 12 systems system NOUN 6w924b3189j 13 13 over over ADP 6w924b3189j 13 14 finite finite NOUN 6w924b3189j 13 15 horizon horizon NOUN 6w924b3189j 13 16 is be AUX 6w924b3189j 13 17 examined examine VERB 6w924b3189j 13 18 as as ADV 6w924b3189j 13 19 well well ADV 6w924b3189j 13 20 . . PUNCT 6w924b3189j 14 1 the the DET 6w924b3189j 14 2 research research NOUN 6w924b3189j 14 3 finally finally ADV 6w924b3189j 14 4 extends extend VERB 6w924b3189j 14 5 the the DET 6w924b3189j 14 6 findings finding NOUN 6w924b3189j 14 7 to to ADP 6w924b3189j 14 8 a a DET 6w924b3189j 14 9 class class NOUN 6w924b3189j 14 10 of of ADP 6w924b3189j 14 11 uncertain uncertain ADJ 6w924b3189j 14 12 linear linear ADJ 6w924b3189j 14 13 systems system NOUN 6w924b3189j 14 14 and and CCONJ 6w924b3189j 14 15 problems problem NOUN 6w924b3189j 14 16 of of ADP 6w924b3189j 14 17 tracking tracking NOUN 6w924b3189j 14 18 , , PUNCT 6w924b3189j 14 19 servo servo NOUN 6w924b3189j 14 20 , , PUNCT 6w924b3189j 14 21 and and CCONJ 6w924b3189j 14 22 model model NOUN 6w924b3189j 14 23 - - PUNCT 6w924b3189j 14 24 following following NOUN 6w924b3189j 14 25 . . PUNCT 6w924b3189j 15 1 the the DET 6w924b3189j 15 2 use use NOUN 6w924b3189j 15 3 of of ADP 6w924b3189j 15 4 these these DET 6w924b3189j 15 5 statistical statistical ADJ 6w924b3189j 15 6 control control NOUN 6w924b3189j 15 7 paradigms paradigm NOUN 6w924b3189j 15 8 in in ADP 6w924b3189j 15 9 the the DET 6w924b3189j 15 10 american american ADJ 6w924b3189j 15 11 society society NOUN 6w924b3189j 15 12 of of ADP 6w924b3189j 15 13 civil civil ADJ 6w924b3189j 15 14 engineers engineer NOUN 6w924b3189j 15 15 first first ADV 6w924b3189j 15 16 , , PUNCT 6w924b3189j 15 17 second second ADJ 6w924b3189j 15 18 and and CCONJ 6w924b3189j 15 19 third third ADJ 6w924b3189j 15 20 generation generation NOUN 6w924b3189j 15 21 benchmarks benchmark NOUN 6w924b3189j 15 22 for for ADP 6w924b3189j 15 23 response response NOUN 6w924b3189j 15 24 control control NOUN 6w924b3189j 15 25 of of ADP 6w924b3189j 15 26 buildings building NOUN 6w924b3189j 15 27 and and CCONJ 6w924b3189j 15 28 cable cable NOUN 6w924b3189j 15 29 - - PUNCT 6w924b3189j 15 30 stayed stay VERB 6w924b3189j 15 31 bridges bridge NOUN 6w924b3189j 15 32 is be AUX 6w924b3189j 15 33 successfully successfully ADV 6w924b3189j 15 34 illustrated illustrate VERB 6w924b3189j 15 35 . . PUNCT 6w924b3189j 16 1 simulation simulation NOUN 6w924b3189j 16 2 results result NOUN 6w924b3189j 16 3 indicate indicate VERB 6w924b3189j 16 4 that that SCONJ 6w924b3189j 16 5 kcc kcc ADJ 6w924b3189j 16 6 controller controller NOUN 6w924b3189j 16 7 designs design NOUN 6w924b3189j 16 8 offer offer VERB 6w924b3189j 16 9 both both CCONJ 6w924b3189j 16 10 robust robust ADJ 6w924b3189j 16 11 performance performance NOUN 6w924b3189j 16 12 and and CCONJ 6w924b3189j 16 13 stability stability NOUN 6w924b3189j 16 14 improvements improvement NOUN 6w924b3189j 16 15 for for ADP 6w924b3189j 16 16 structural structural ADJ 6w924b3189j 16 17 vibration vibration NOUN 6w924b3189j 16 18 suppression suppression NOUN 6w924b3189j 16 19 . . PUNCT