id sid tid token lemma pos 1z40ks67b4x 1 1 in in ADP 1z40ks67b4x 1 2 this this DET 1z40ks67b4x 1 3 dissertation dissertation NOUN 1z40ks67b4x 1 4 , , PUNCT 1z40ks67b4x 1 5 the the DET 1z40ks67b4x 1 6 notion notion NOUN 1z40ks67b4x 1 7 of of ADP 1z40ks67b4x 1 8 symmetry symmetry NOUN 1z40ks67b4x 1 9 in in ADP 1z40ks67b4x 1 10 dynamical dynamical ADJ 1z40ks67b4x 1 11 control control NOUN 1z40ks67b4x 1 12 systems system NOUN 1z40ks67b4x 1 13 is be AUX 1z40ks67b4x 1 14 studied study VERB 1z40ks67b4x 1 15 . . PUNCT 1z40ks67b4x 2 1 large large ADJ 1z40ks67b4x 2 2 - - PUNCT 1z40ks67b4x 2 3 scale scale NOUN 1z40ks67b4x 2 4 dynamical dynamical ADJ 1z40ks67b4x 2 5 systems system NOUN 1z40ks67b4x 2 6 present present VERB 1z40ks67b4x 2 7 significant significant ADJ 1z40ks67b4x 2 8 challenges challenge NOUN 1z40ks67b4x 2 9 to to PART 1z40ks67b4x 2 10 control control VERB 1z40ks67b4x 2 11 design design NOUN 1z40ks67b4x 2 12 and and CCONJ 1z40ks67b4x 2 13 analysis analysis NOUN 1z40ks67b4x 2 14 . . PUNCT 1z40ks67b4x 3 1 the the DET 1z40ks67b4x 3 2 energy energy NOUN 1z40ks67b4x 3 3 - - PUNCT 1z40ks67b4x 3 4 based base VERB 1z40ks67b4x 3 5 analysis analysis NOUN 1z40ks67b4x 3 6 methods method NOUN 1z40ks67b4x 3 7 , , PUNCT 1z40ks67b4x 3 8 namely namely ADV 1z40ks67b4x 3 9 dissipativity dissipativity NOUN 1z40ks67b4x 3 10 and and CCONJ 1z40ks67b4x 3 11 passivity passivity NOUN 1z40ks67b4x 3 12 theory theory NOUN 1z40ks67b4x 3 13 , , PUNCT 1z40ks67b4x 3 14 are be AUX 1z40ks67b4x 3 15 studied study VERB 1z40ks67b4x 3 16 with with ADP 1z40ks67b4x 3 17 the the DET 1z40ks67b4x 3 18 presence presence NOUN 1z40ks67b4x 3 19 of of ADP 1z40ks67b4x 3 20 symmetry symmetry NOUN 1z40ks67b4x 3 21 in in ADP 1z40ks67b4x 3 22 system system NOUN 1z40ks67b4x 3 23 dynamics dynamic NOUN 1z40ks67b4x 3 24 and and CCONJ 1z40ks67b4x 3 25 interconnection interconnection NOUN 1z40ks67b4x 3 26 structures structure NOUN 1z40ks67b4x 3 27 . . PUNCT 1z40ks67b4x 4 1 it it PRON 1z40ks67b4x 4 2 is be AUX 1z40ks67b4x 4 3 shown show VERB 1z40ks67b4x 4 4 that that SCONJ 1z40ks67b4x 4 5 symmetry symmetry NOUN 1z40ks67b4x 4 6 is be AUX 1z40ks67b4x 4 7 a a DET 1z40ks67b4x 4 8 powerful powerful ADJ 1z40ks67b4x 4 9 tool tool NOUN 1z40ks67b4x 4 10 in in ADP 1z40ks67b4x 4 11 preserving preserve VERB 1z40ks67b4x 4 12 system system NOUN 1z40ks67b4x 4 13 properties property NOUN 1z40ks67b4x 4 14 and and CCONJ 1z40ks67b4x 4 15 performances performance NOUN 1z40ks67b4x 4 16 such such ADJ 1z40ks67b4x 4 17 as as ADP 1z40ks67b4x 4 18 dissipativity dissipativity NOUN 1z40ks67b4x 4 19 , , PUNCT 1z40ks67b4x 4 20 passivity passivity NOUN 1z40ks67b4x 4 21 , , PUNCT 1z40ks67b4x 4 22 stability stability NOUN 1z40ks67b4x 4 23 , , PUNCT 1z40ks67b4x 4 24 robustness robustness NOUN 1z40ks67b4x 4 25 and and CCONJ 1z40ks67b4x 4 26 controllability controllability NOUN 1z40ks67b4x 4 27 . . PUNCT 1z40ks67b4x 5 1 in in ADP 1z40ks67b4x 5 2 order order NOUN 1z40ks67b4x 5 3 to to PART 1z40ks67b4x 5 4 recognize recognize VERB 1z40ks67b4x 5 5 the the DET 1z40ks67b4x 5 6 important important ADJ 1z40ks67b4x 5 7 role role NOUN 1z40ks67b4x 5 8 of of ADP 1z40ks67b4x 5 9 symmetry symmetry NOUN 1z40ks67b4x 5 10 in in ADP 1z40ks67b4x 5 11 dynamical dynamical ADJ 1z40ks67b4x 5 12 systems system NOUN 1z40ks67b4x 5 13 , , PUNCT 1z40ks67b4x 5 14 background background NOUN 1z40ks67b4x 5 15 is be AUX 1z40ks67b4x 5 16 first first ADV 1z40ks67b4x 5 17 given give VERB 1z40ks67b4x 5 18 on on ADP 1z40ks67b4x 5 19 general general ADJ 1z40ks67b4x 5 20 definitions definition NOUN 1z40ks67b4x 5 21 of of ADP 1z40ks67b4x 5 22 symmetry symmetry NOUN 1z40ks67b4x 5 23 for for ADP 1z40ks67b4x 5 24 geometric geometric ADJ 1z40ks67b4x 5 25 control control NOUN 1z40ks67b4x 5 26 systems system NOUN 1z40ks67b4x 5 27 in in ADP 1z40ks67b4x 5 28 chapter chapter NOUN 1z40ks67b4x 5 29 2 2 NUM 1z40ks67b4x 5 30 . . PUNCT 1z40ks67b4x 6 1 in in ADP 1z40ks67b4x 6 2 addition addition NOUN 1z40ks67b4x 6 3 , , PUNCT 1z40ks67b4x 6 4 symmetry symmetry NOUN 1z40ks67b4x 6 5 examples example NOUN 1z40ks67b4x 6 6 in in ADP 1z40ks67b4x 6 7 nonlinear nonlinear ADJ 1z40ks67b4x 6 8 affine affine NOUN 1z40ks67b4x 6 9 control control NOUN 1z40ks67b4x 6 10 systems system NOUN 1z40ks67b4x 6 11 and and CCONJ 1z40ks67b4x 6 12 in in ADP 1z40ks67b4x 6 13 multi multi ADJ 1z40ks67b4x 6 14 - - ADJ 1z40ks67b4x 6 15 agent agent ADJ 1z40ks67b4x 6 16 systems system NOUN 1z40ks67b4x 6 17 are be AUX 1z40ks67b4x 6 18 also also ADV 1z40ks67b4x 6 19 given give VERB 1z40ks67b4x 6 20 . . PUNCT 1z40ks67b4x 7 1 chapter chapter NOUN 1z40ks67b4x 7 2 3 3 NUM 1z40ks67b4x 7 3 discusses discuss VERB 1z40ks67b4x 7 4 symmetry symmetry NOUN 1z40ks67b4x 7 5 in in ADP 1z40ks67b4x 7 6 multi multi ADJ 1z40ks67b4x 7 7 - - ADJ 1z40ks67b4x 7 8 agent agent ADJ 1z40ks67b4x 7 9 dissipative dissipative NOUN 1z40ks67b4x 7 10 systems system NOUN 1z40ks67b4x 7 11 . . PUNCT 1z40ks67b4x 8 1 stability stability NOUN 1z40ks67b4x 8 2 conditions condition NOUN 1z40ks67b4x 8 3 are be AUX 1z40ks67b4x 8 4 derived derive VERB 1z40ks67b4x 8 5 for for ADP 1z40ks67b4x 8 6 large large ADJ 1z40ks67b4x 8 7 - - PUNCT 1z40ks67b4x 8 8 scale scale NOUN 1z40ks67b4x 8 9 systems system NOUN 1z40ks67b4x 8 10 by by ADP 1z40ks67b4x 8 11 categorizing categorize VERB 1z40ks67b4x 8 12 agents agent NOUN 1z40ks67b4x 8 13 into into ADP 1z40ks67b4x 8 14 symmetry symmetry NOUN 1z40ks67b4x 8 15 groups group NOUN 1z40ks67b4x 8 16 and and CCONJ 1z40ks67b4x 8 17 applying apply VERB 1z40ks67b4x 8 18 local local ADJ 1z40ks67b4x 8 19 control control NOUN 1z40ks67b4x 8 20 laws law NOUN 1z40ks67b4x 8 21 under under ADP 1z40ks67b4x 8 22 limited limited ADJ 1z40ks67b4x 8 23 interconnections interconnection NOUN 1z40ks67b4x 8 24 with with ADP 1z40ks67b4x 8 25 neighbors neighbor NOUN 1z40ks67b4x 8 26 . . PUNCT 1z40ks67b4x 9 1 extensions extension NOUN 1z40ks67b4x 9 2 on on ADP 1z40ks67b4x 9 3 passivity passivity NOUN 1z40ks67b4x 9 4 results result NOUN 1z40ks67b4x 9 5 are be AUX 1z40ks67b4x 9 6 presented present VERB 1z40ks67b4x 9 7 in in ADP 1z40ks67b4x 9 8 chapter chapter NOUN 1z40ks67b4x 9 9 4 4 NUM 1z40ks67b4x 9 10 . . PUNCT 1z40ks67b4x 10 1 also also ADV 1z40ks67b4x 10 2 the the DET 1z40ks67b4x 10 3 passivity passivity NOUN 1z40ks67b4x 10 4 indices index NOUN 1z40ks67b4x 10 5 are be AUX 1z40ks67b4x 10 6 characterized characterize VERB 1z40ks67b4x 10 7 for for ADP 1z40ks67b4x 10 8 large large ADJ 1z40ks67b4x 10 9 - - PUNCT 1z40ks67b4x 10 10 scale scale NOUN 1z40ks67b4x 10 11 passive passive ADJ 1z40ks67b4x 10 12 systems system NOUN 1z40ks67b4x 10 13 with with ADP 1z40ks67b4x 10 14 symmetric symmetric ADJ 1z40ks67b4x 10 15 interconnections interconnection NOUN 1z40ks67b4x 10 16 . . PUNCT 1z40ks67b4x 11 1 approximate approximate ADJ 1z40ks67b4x 11 2 symmetry symmetry NOUN 1z40ks67b4x 11 3 in in ADP 1z40ks67b4x 11 4 terms term NOUN 1z40ks67b4x 11 5 of of ADP 1z40ks67b4x 11 6 network network NOUN 1z40ks67b4x 11 7 effects effect NOUN 1z40ks67b4x 11 8 is be AUX 1z40ks67b4x 11 9 discussed discuss VERB 1z40ks67b4x 11 10 in in ADP 1z40ks67b4x 11 11 chapter chapter NOUN 1z40ks67b4x 11 12 5 5 NUM 1z40ks67b4x 11 13 . . PUNCT 1z40ks67b4x 12 1 chapter chapter NOUN 1z40ks67b4x 12 2 6 6 NUM 1z40ks67b4x 12 3 explores explore VERB 1z40ks67b4x 12 4 the the DET 1z40ks67b4x 12 5 relationship relationship NOUN 1z40ks67b4x 12 6 between between ADP 1z40ks67b4x 12 7 symmetry symmetry NOUN 1z40ks67b4x 12 8 and and CCONJ 1z40ks67b4x 12 9 nonlinear nonlinear ADJ 1z40ks67b4x 12 10 controllability controllability NOUN 1z40ks67b4x 12 11 . . PUNCT 1z40ks67b4x 13 1 chapter chapter NOUN 1z40ks67b4x 13 2 7 7 NUM 1z40ks67b4x 13 3 discusses discuss VERB 1z40ks67b4x 13 4 experimental experimental ADJ 1z40ks67b4x 13 5 testing testing NOUN 1z40ks67b4x 13 6 to to PART 1z40ks67b4x 13 7 determine determine VERB 1z40ks67b4x 13 8 the the DET 1z40ks67b4x 13 9 passivity passivity NOUN 1z40ks67b4x 13 10 indices index NOUN 1z40ks67b4x 13 11 using use VERB 1z40ks67b4x 13 12 numerical numerical ADJ 1z40ks67b4x 13 13 optimization optimization NOUN 1z40ks67b4x 13 14 . . PUNCT 1z40ks67b4x 14 1 overall overall ADV 1z40ks67b4x 14 2 , , PUNCT 1z40ks67b4x 14 3 this this DET 1z40ks67b4x 14 4 dissertation dissertation NOUN 1z40ks67b4x 14 5 provides provide VERB 1z40ks67b4x 14 6 new new ADJ 1z40ks67b4x 14 7 approaches approach NOUN 1z40ks67b4x 14 8 in in ADP 1z40ks67b4x 14 9 analyzing analyze VERB 1z40ks67b4x 14 10 and and CCONJ 1z40ks67b4x 14 11 synthesizing synthesize VERB 1z40ks67b4x 14 12 large large ADJ 1z40ks67b4x 14 13 - - PUNCT 1z40ks67b4x 14 14 scale scale NOUN 1z40ks67b4x 14 15 dynamical dynamical ADJ 1z40ks67b4x 14 16 control control NOUN 1z40ks67b4x 14 17 systems system NOUN 1z40ks67b4x 14 18 with with ADP 1z40ks67b4x 14 19 regard regard NOUN 1z40ks67b4x 14 20 to to ADP 1z40ks67b4x 14 21 energy energy NOUN 1z40ks67b4x 14 22 and and CCONJ 1z40ks67b4x 14 23 input input NOUN 1z40ks67b4x 14 24 - - PUNCT 1z40ks67b4x 14 25 output output NOUN 1z40ks67b4x 14 26 relationships relationship NOUN 1z40ks67b4x 14 27 , , PUNCT 1z40ks67b4x 14 28 where where SCONJ 1z40ks67b4x 14 29 symmetry symmetry NOUN 1z40ks67b4x 14 30 property property NOUN 1z40ks67b4x 14 31 provides provide VERB 1z40ks67b4x 14 32 interesting interesting ADJ 1z40ks67b4x 14 33 results result NOUN 1z40ks67b4x 14 34 for for ADP 1z40ks67b4x 14 35 system system NOUN 1z40ks67b4x 14 36 analysis analysis NOUN 1z40ks67b4x 14 37 and and CCONJ 1z40ks67b4x 14 38 control control NOUN 1z40ks67b4x 14 39 design design NOUN 1z40ks67b4x 14 40 . . PUNCT 1z40ks67b4x 15 1 numerical numerical ADJ 1z40ks67b4x 15 2 simulations simulation NOUN 1z40ks67b4x 15 3 and and CCONJ 1z40ks67b4x 15 4 illustrative illustrative ADJ 1z40ks67b4x 15 5 examples example NOUN 1z40ks67b4x 15 6 are be AUX 1z40ks67b4x 15 7 presented present VERB 1z40ks67b4x 15 8 to to PART 1z40ks67b4x 15 9 demonstrate demonstrate VERB 1z40ks67b4x 15 10 the the DET 1z40ks67b4x 15 11 practical practical ADJ 1z40ks67b4x 15 12 usage usage NOUN 1z40ks67b4x 15 13 and and CCONJ 1z40ks67b4x 15 14 to to PART 1z40ks67b4x 15 15 motivate motivate VERB 1z40ks67b4x 15 16 the the DET 1z40ks67b4x 15 17 theory theory NOUN 1z40ks67b4x 15 18 . . PUNCT