id sid tid token lemma pos r207tm73247 1 1 in in ADP r207tm73247 1 2 stochastic stochastic ADJ r207tm73247 1 3 optimal optimal ADJ r207tm73247 1 4 control control NOUN r207tm73247 1 5 theory theory NOUN r207tm73247 1 6 , , PUNCT r207tm73247 1 7 the the DET r207tm73247 1 8 complete complete ADJ r207tm73247 1 9 specification specification NOUN r207tm73247 1 10 of of ADP r207tm73247 1 11 the the DET r207tm73247 1 12 probability probability NOUN r207tm73247 1 13 density density NOUN r207tm73247 1 14 function function NOUN r207tm73247 1 15 of of ADP r207tm73247 1 16 the the DET r207tm73247 1 17 random random ADJ r207tm73247 1 18 cost cost NOUN r207tm73247 1 19 functional functional ADJ r207tm73247 1 20 might might AUX r207tm73247 1 21 be be AUX r207tm73247 1 22 considered consider VERB r207tm73247 1 23 the the DET r207tm73247 1 24 most most ADJ r207tm73247 1 25 a a DET r207tm73247 1 26 designer designer NOUN r207tm73247 1 27 can can AUX r207tm73247 1 28 do do VERB r207tm73247 1 29 when when SCONJ r207tm73247 1 30 formulating formulate VERB r207tm73247 1 31 an an DET r207tm73247 1 32 optimal optimal ADJ r207tm73247 1 33 control control NOUN r207tm73247 1 34 law law NOUN r207tm73247 1 35 . . PUNCT r207tm73247 2 1 the the DET r207tm73247 2 2 field field NOUN r207tm73247 2 3 of of ADP r207tm73247 2 4 cost cost NOUN r207tm73247 2 5 cumulant cumulant ADJ r207tm73247 2 6 controls control NOUN r207tm73247 2 7 has have AUX r207tm73247 2 8 made make VERB r207tm73247 2 9 considerable considerable ADJ r207tm73247 2 10 advances advance NOUN r207tm73247 2 11 towards towards ADP r207tm73247 2 12 this this DET r207tm73247 2 13 capability capability NOUN r207tm73247 2 14 in in ADP r207tm73247 2 15 the the DET r207tm73247 2 16 past past ADJ r207tm73247 2 17 few few ADJ r207tm73247 2 18 decades decade NOUN r207tm73247 2 19 , , PUNCT r207tm73247 2 20 largely largely ADV r207tm73247 2 21 because because SCONJ r207tm73247 2 22 of of ADP r207tm73247 2 23 the the DET r207tm73247 2 24 advantage advantage NOUN r207tm73247 2 25 gained gain VERB r207tm73247 2 26 from from ADP r207tm73247 2 27 controlling control VERB r207tm73247 2 28 the the DET r207tm73247 2 29 cost cost NOUN r207tm73247 2 30 cumulants cumulant NOUN r207tm73247 2 31 instead instead ADV r207tm73247 2 32 of of ADP r207tm73247 2 33 the the DET r207tm73247 2 34 cost cost NOUN r207tm73247 2 35 moments moment NOUN r207tm73247 2 36 . . PUNCT r207tm73247 3 1 however however ADV r207tm73247 3 2 , , PUNCT r207tm73247 3 3 current current ADJ r207tm73247 3 4 cost cost NOUN r207tm73247 3 5 cumulant cumulant NOUN r207tm73247 3 6 control control NOUN r207tm73247 3 7 paradigms paradigm NOUN r207tm73247 3 8 have have AUX r207tm73247 3 9 left leave VERB r207tm73247 3 10 the the DET r207tm73247 3 11 deliberate deliberate ADJ r207tm73247 3 12 specification specification NOUN r207tm73247 3 13 of of ADP r207tm73247 3 14 the the DET r207tm73247 3 15 probability probability NOUN r207tm73247 3 16 density density NOUN r207tm73247 3 17 function function NOUN r207tm73247 3 18 for for ADP r207tm73247 3 19 the the DET r207tm73247 3 20 random random ADJ r207tm73247 3 21 cost cost NOUN r207tm73247 3 22 outside outside ADP r207tm73247 3 23 the the DET r207tm73247 3 24 designer designer NOUN r207tm73247 3 25 's 's PART r207tm73247 3 26 direct direct ADJ r207tm73247 3 27 influence influence NOUN r207tm73247 3 28 . . PUNCT r207tm73247 4 1 the the DET r207tm73247 4 2 ability ability NOUN r207tm73247 4 3 to to PART r207tm73247 4 4 design design VERB r207tm73247 4 5 control control NOUN r207tm73247 4 6 laws law NOUN r207tm73247 4 7 upon upon SCONJ r207tm73247 4 8 the the DET r207tm73247 4 9 desired desire VERB r207tm73247 4 10 shape shape NOUN r207tm73247 4 11 and and CCONJ r207tm73247 4 12 location location NOUN r207tm73247 4 13 of of ADP r207tm73247 4 14 the the DET r207tm73247 4 15 cost cost NOUN r207tm73247 4 16 density density NOUN r207tm73247 4 17 would would AUX r207tm73247 4 18 be be AUX r207tm73247 4 19 highly highly ADV r207tm73247 4 20 valuable valuable ADJ r207tm73247 4 21 to to PART r207tm73247 4 22 control control VERB r207tm73247 4 23 engineers engineer NOUN r207tm73247 4 24 , , PUNCT r207tm73247 4 25 since since SCONJ r207tm73247 4 26 there there PRON r207tm73247 4 27 is be VERB r207tm73247 4 28 evidence evidence NOUN r207tm73247 4 29 that that SCONJ r207tm73247 4 30 the the DET r207tm73247 4 31 shape shape NOUN r207tm73247 4 32 of of ADP r207tm73247 4 33 the the DET r207tm73247 4 34 cost cost NOUN r207tm73247 4 35 density density NOUN r207tm73247 4 36 under under ADP r207tm73247 4 37 high high ADJ r207tm73247 4 38 - - PUNCT r207tm73247 4 39 performance performance NOUN r207tm73247 4 40 controllers controller NOUN r207tm73247 4 41 directly directly ADV r207tm73247 4 42 corresponds correspond VERB r207tm73247 4 43 to to ADP r207tm73247 4 44 the the DET r207tm73247 4 45 resulting result VERB r207tm73247 4 46 closed closed ADJ r207tm73247 4 47 - - PUNCT r207tm73247 4 48 loop loop NOUN r207tm73247 4 49 system system NOUN r207tm73247 4 50 behavior behavior NOUN r207tm73247 4 51 . . PUNCT r207tm73247 5 1 this this DET r207tm73247 5 2 dissertation dissertation NOUN r207tm73247 5 3 proposes propose VERB r207tm73247 5 4 a a DET r207tm73247 5 5 multiple multiple ADJ r207tm73247 5 6 - - PUNCT r207tm73247 5 7 cumulant cumulant ADJ r207tm73247 5 8 cost cost NOUN r207tm73247 5 9 density density NOUN r207tm73247 5 10 - - PUNCT r207tm73247 5 11 shaping shape VERB r207tm73247 5 12 ( ( PUNCT r207tm73247 5 13 mccds mccds PROPN r207tm73247 5 14 ) ) PUNCT r207tm73247 5 15 optimization optimization NOUN r207tm73247 5 16 problem problem NOUN r207tm73247 5 17 for for ADP r207tm73247 5 18 the the DET r207tm73247 5 19 lqg lqg PROPN r207tm73247 5 20 framework framework NOUN r207tm73247 5 21 . . PUNCT r207tm73247 6 1 the the DET r207tm73247 6 2 control control NOUN r207tm73247 6 3 solution solution NOUN r207tm73247 6 4 to to ADP r207tm73247 6 5 the the DET r207tm73247 6 6 mccds mccds ADJ r207tm73247 6 7 optimization optimization NOUN r207tm73247 6 8 is be AUX r207tm73247 6 9 derived derive VERB r207tm73247 6 10 using use VERB r207tm73247 6 11 dynamic dynamic ADJ r207tm73247 6 12 programming programming NOUN r207tm73247 6 13 techniques technique NOUN r207tm73247 6 14 ; ; PUNCT r207tm73247 6 15 it it PRON r207tm73247 6 16 is be AUX r207tm73247 6 17 the the DET r207tm73247 6 18 finite finite NOUN r207tm73247 6 19 - - PUNCT r207tm73247 6 20 horizon horizon NOUN r207tm73247 6 21 , , PUNCT r207tm73247 6 22 linear linear ADJ r207tm73247 6 23 state state NOUN r207tm73247 6 24 - - PUNCT r207tm73247 6 25 feedback feedback NOUN r207tm73247 6 26 control control NOUN r207tm73247 6 27 that that PRON r207tm73247 6 28 minimizes minimize VERB r207tm73247 6 29 a a DET r207tm73247 6 30 smooth smooth ADJ r207tm73247 6 31 , , PUNCT r207tm73247 6 32 convex convex ADJ r207tm73247 6 33 , , PUNCT r207tm73247 6 34 scalar scalar ADJ r207tm73247 6 35 function function NOUN r207tm73247 6 36 of of ADP r207tm73247 6 37 arbitrarily arbitrarily ADV r207tm73247 6 38 - - PUNCT r207tm73247 6 39 many many ADJ r207tm73247 6 40 initial initial ADJ r207tm73247 6 41 cost cost NOUN r207tm73247 6 42 cumulants cumulant NOUN r207tm73247 6 43 and and CCONJ r207tm73247 6 44 target target VERB r207tm73247 6 45 initial initial ADJ r207tm73247 6 46 cost cost NOUN r207tm73247 6 47 cumulants cumulant NOUN r207tm73247 6 48 . . PUNCT r207tm73247 7 1 the the DET r207tm73247 7 2 mccds mccds ADJ r207tm73247 7 3 theory theory NOUN r207tm73247 7 4 is be AUX r207tm73247 7 5 shown show VERB r207tm73247 7 6 to to PART r207tm73247 7 7 generalize generalize VERB r207tm73247 7 8 the the DET r207tm73247 7 9 linear linear ADJ r207tm73247 7 10 quadratic quadratic ADJ r207tm73247 7 11 gaussian gaussian NOUN r207tm73247 7 12 ( ( PUNCT r207tm73247 7 13 lqg lqg PROPN r207tm73247 7 14 ) ) PUNCT r207tm73247 7 15 , , PUNCT r207tm73247 7 16 ' ' PUNCT r207tm73247 7 17 k k PROPN r207tm73247 7 18 cost cost NOUN r207tm73247 7 19 cumulant cumulant NOUN r207tm73247 7 20 ' ' PUNCT r207tm73247 7 21 ( ( PUNCT r207tm73247 7 22 kcc kcc PROPN r207tm73247 7 23 ) ) PUNCT r207tm73247 7 24 , , PUNCT r207tm73247 7 25 and and CCONJ r207tm73247 7 26 risk risk NOUN r207tm73247 7 27 - - PUNCT r207tm73247 7 28 sensitive sensitive ADJ r207tm73247 7 29 ( ( PUNCT r207tm73247 7 30 rs rs NOUN r207tm73247 7 31 ) ) PUNCT r207tm73247 7 32 control control VERB r207tm73247 7 33 paradigms paradigm NOUN r207tm73247 7 34 for for ADP r207tm73247 7 35 zero zero NUM r207tm73247 7 36 targets target NOUN r207tm73247 7 37 and and CCONJ r207tm73247 7 38 linear linear ADJ r207tm73247 7 39 performance performance NOUN r207tm73247 7 40 indices index NOUN r207tm73247 7 41 . . PUNCT r207tm73247 8 1 additionally additionally ADV r207tm73247 8 2 , , PUNCT r207tm73247 8 3 the the DET r207tm73247 8 4 mccds mccds ADJ r207tm73247 8 5 framework framework NOUN r207tm73247 8 6 enables enable VERB r207tm73247 8 7 the the DET r207tm73247 8 8 minimization minimization NOUN r207tm73247 8 9 of of ADP r207tm73247 8 10 well well ADV r207tm73247 8 11 - - PUNCT r207tm73247 8 12 known know VERB r207tm73247 8 13 distance distance NOUN r207tm73247 8 14 functions function NOUN r207tm73247 8 15 between between ADP r207tm73247 8 16 the the DET r207tm73247 8 17 cost cost NOUN r207tm73247 8 18 density density NOUN r207tm73247 8 19 and and CCONJ r207tm73247 8 20 a a DET r207tm73247 8 21 target target NOUN r207tm73247 8 22 cost cost NOUN r207tm73247 8 23 density density NOUN r207tm73247 8 24 , , PUNCT r207tm73247 8 25 such such ADJ r207tm73247 8 26 as as ADP r207tm73247 8 27 the the DET r207tm73247 8 28 kullback kullback PROPN r207tm73247 8 29 - - PUNCT r207tm73247 8 30 leibler leibler NOUN r207tm73247 8 31 divergence divergence NOUN r207tm73247 8 32 , , PUNCT r207tm73247 8 33 bhattacharyya bhattacharyya ADJ r207tm73247 8 34 distance distance NOUN r207tm73247 8 35 , , PUNCT r207tm73247 8 36 and and CCONJ r207tm73247 8 37 the the DET r207tm73247 8 38 hellinger hellinger PROPN r207tm73247 8 39 distance distance NOUN r207tm73247 8 40 . . PUNCT r207tm73247 9 1 the the DET r207tm73247 9 2 finite finite ADJ r207tm73247 9 3 - - PUNCT r207tm73247 9 4 horizon horizon NOUN r207tm73247 9 5 mccds mccds ADJ r207tm73247 9 6 control control NOUN r207tm73247 9 7 is be AUX r207tm73247 9 8 extended extend VERB r207tm73247 9 9 to to ADP r207tm73247 9 10 the the DET r207tm73247 9 11 infinite infinite ADJ r207tm73247 9 12 - - PUNCT r207tm73247 9 13 horizon horizon NOUN r207tm73247 9 14 in in ADP r207tm73247 9 15 this this DET r207tm73247 9 16 dissertation dissertation NOUN r207tm73247 9 17 . . PUNCT r207tm73247 10 1 other other ADJ r207tm73247 10 2 areas area NOUN r207tm73247 10 3 of of ADP r207tm73247 10 4 investigation investigation NOUN r207tm73247 10 5 include include VERB r207tm73247 10 6 mccds mccds ADJ r207tm73247 10 7 performance performance NOUN r207tm73247 10 8 index index NOUN r207tm73247 10 9 construction construction NOUN r207tm73247 10 10 , , PUNCT r207tm73247 10 11 cost cost VERB r207tm73247 10 12 density density NOUN r207tm73247 10 13 - - PUNCT r207tm73247 10 14 shaping shape VERB r207tm73247 10 15 minimax minimax ADJ r207tm73247 10 16 and and CCONJ r207tm73247 10 17 nash nash PROPN r207tm73247 10 18 games games PROPN r207tm73247 10 19 , , PUNCT r207tm73247 10 20 and and CCONJ r207tm73247 10 21 a a DET r207tm73247 10 22 statistical statistical ADJ r207tm73247 10 23 target target NOUN r207tm73247 10 24 selection selection NOUN r207tm73247 10 25 ( ( PUNCT r207tm73247 10 26 sts sts PROPN r207tm73247 10 27 ) ) PUNCT r207tm73247 10 28 iterative iterative ADJ r207tm73247 10 29 procedure procedure NOUN r207tm73247 10 30 for for ADP r207tm73247 10 31 control control NOUN r207tm73247 10 32 design design NOUN r207tm73247 10 33 . . PUNCT r207tm73247 11 1 together together ADV r207tm73247 11 2 mccds mccds PROPN r207tm73247 11 3 and and CCONJ r207tm73247 11 4 sts st NOUN r207tm73247 11 5 enable enable VERB r207tm73247 11 6 the the DET r207tm73247 11 7 design design NOUN r207tm73247 11 8 of of ADP r207tm73247 11 9 control control NOUN r207tm73247 11 10 laws law NOUN r207tm73247 11 11 with with ADP r207tm73247 11 12 optimality optimality NOUN r207tm73247 11 13 among among ADP r207tm73247 11 14 a a DET r207tm73247 11 15 family family NOUN r207tm73247 11 16 of of ADP r207tm73247 11 17 target target NOUN r207tm73247 11 18 cost cost NOUN r207tm73247 11 19 densities density NOUN r207tm73247 11 20 , , PUNCT r207tm73247 11 21 which which PRON r207tm73247 11 22 might might AUX r207tm73247 11 23 be be AUX r207tm73247 11 24 regarded regard VERB r207tm73247 11 25 as as ADP r207tm73247 11 26 a a DET r207tm73247 11 27 new new ADJ r207tm73247 11 28 approach approach NOUN r207tm73247 11 29 to to ADP r207tm73247 11 30 robust robust ADJ r207tm73247 11 31 lqg lqg PROPN r207tm73247 11 32 control control PROPN r207tm73247 11 33 design design NOUN r207tm73247 11 34 . . PUNCT r207tm73247 12 1 for for ADP r207tm73247 12 2 structures structure NOUN r207tm73247 12 3 excited excite VERB r207tm73247 12 4 by by ADP r207tm73247 12 5 seismic seismic ADJ r207tm73247 12 6 disturbances disturbance NOUN r207tm73247 12 7 , , PUNCT r207tm73247 12 8 numerical numerical ADJ r207tm73247 12 9 experiments experiment NOUN r207tm73247 12 10 show show VERB r207tm73247 12 11 that that SCONJ r207tm73247 12 12 the the DET r207tm73247 12 13 mccds mccds ADJ r207tm73247 12 14 controls control NOUN r207tm73247 12 15 identified identify VERB r207tm73247 12 16 thru thru ADP r207tm73247 12 17 sts st NOUN r207tm73247 12 18 can can AUX r207tm73247 12 19 achieve achieve VERB r207tm73247 12 20 greater great ADJ r207tm73247 12 21 vibration vibration NOUN r207tm73247 12 22 suppression suppression NOUN r207tm73247 12 23 than than ADP r207tm73247 12 24 nominal nominal ADJ r207tm73247 12 25 kcc kcc PROPN r207tm73247 12 26 controllers controller NOUN r207tm73247 12 27 , , PUNCT r207tm73247 12 28 without without ADP r207tm73247 12 29 any any DET r207tm73247 12 30 compromise compromise NOUN r207tm73247 12 31 to to ADP r207tm73247 12 32 robust robust ADJ r207tm73247 12 33 stability stability NOUN r207tm73247 12 34 . . PUNCT