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  • 3. • E) 05 5 4 0 1 0 2 5 4 1 2 0 50 ) 0 2 1 2 A 2 0 ( . • E 54 5 4 2 52 2 0 2 A 2421C 2 0 ( . • G
  • 4. • H B A ,, : : A B:A B A A A A B ,, A A : : A • H) A • BA ,, B : • B : : • H- :B : A . : B : AD ( AG A :
  • 5. . . .. . . . . • . , ., . , . . . . . , , . . . ., • . . . . . . . . . . , ., . (. , .. . . ) .
  • 6. XP RF FRI 1 BFHHMJPPF" 1R 1GVW FHW SR JK RJ JRW FTT SFHM WS J K HFW SR SK F W K H FP RJX FP RJW S OV" R 3S TXWJ 1 IJI CJ K HFW SR 31C ( " MWWTV0 JVJF HMLFWJ RJW TXGP HFW SR (( ) . ( XP RF FRI 1 BFHHMJPPF" 3MFPPJRL RL A B VSP J V WS J K RJX FP RJW S OV" 19 3S XR " SP ( " RS (" TT - ) " 1T ( ( MWWT0 I IS S L )()) 193 ( ( ( MWWTV0 TIKV VJ FRW HVHMSPF S L H/ J K-) G/H .-H/I KGH-HK./ F,, FF,/ /.( TIK ) AHMJ GPJ " D RWJ J " D J " FRI 2 2JHOJ BS F IV J K HFW SR SK F W K H FP RJX FP RJW S OV 9R .WM DS OVMST SR JWMSIJR XRI 2JVHM J GXRLVVT FHMJR X SIJPP J XRL XRI CJ K OFW SR SR AHMFPWXRLJR XRI A VWJ JR 2 C " ( MWWT0 F FHV S L K PJFI R XGP OFW SRJR TJR VHMJ GPJ G ( TIK E 8XFRL" FWOS VOF" A DFRL" FRI DX" AFKJW J K HFW SR SK IJJT RJX FP RJW S OV" 31C ( - R WJI WFPO" MWWT0 F S L FGV , ,/ 7 FW " 3 2F JWW" 4 4 PP" :XP FR" FRI SHMJRIJ KJ " JPXTPJ 0 1R JKK H JRW A B VSP J KS J K RL IJJT RJX FP RJW S OV" 31C ( -" MWWT0 F S L FGV - ( ) , 5MPJ V" 6S FP J K HFW SR SK JHJ D VJ P RJF 6JJI 6S F I RJX FP RJW S OV" MWWT0 F S L FGV - )(
  • 7. (() • 1 3 , : ,: : 2 : 1 : : ( , ,1 : , 1 3 . . : , :, 2 ) ., , : ,: , : : , . 1 . ∀"# . " − "′ < ( ⇒ * " − *("′) < - ( , , : ,: , : : , " − "′ < ( ⇒ * " − *("′) < - 2
  • 8. (() • ) ? ? . = .= ?= ? = = =? = . ? ? C ? ? ? 1 ? C 1 =?. =. . . ? F • = C. . . ? .? . ? C C C C • .? . H ? = C. ? ? . ? = =? • , .? . H = .? • ? // / / . = C H ( ? =
  • 9. ) ( • , =B : • ) = = = = ? = • A : • F E F E F = = ↦ ↦ ( • F E F E F E F =
  • 10. ) ( • - . : . : • . - , : - . - - . : . - - - • . , • : , . , . 0 1 1 0 1
  • 11. • ? : 2,3( 1 I E E = • - = E A = 2,3 A =A • 2,3 I E I E <= < I ? • 2 3 = := = = < E= • , E < I E A < ? : 2,3 • 0E A - A ( < E EE : = : = E = < < M R = P = ) P = E = P : E E= = : = +
  • 12. + + + + + + • : : : , : , • : : ,: : : , / . . = . : , : . : B + . : : : : / = . : ::, : : ,/ : A :
  • 13. / • , , / , ., • / . . ., , C • : • / - , . • A: . . ,/ , . / A: A • , A • A: , A • , / / /
  • 14.
  • 15. XP RF FRI 1 BFHHMJPPF" 1R 1GVW FHW SR JK RJ JRW FTT SFHM WS J K HFW SR SK F W K H FP RJX FP RJW S OV" R 3S TXWJ 1 IJI CJ K HFW SR 31C ( " MWWTV0 JVJF HMLFWJ RJW TXGP HFW SR (( ) . ( XP RF FRI 1 BFHHMJPPF" 3MFPPJRL RL A B VSP J V WS J K RJX FP RJW S OV" 19 3S XR " SP ( " RS (" TT - ) " 1T ( ( MWWT0 I IS S L )()) 193 ( ( ( MWWTV0 TIKV VJ FRW HVHMSPF S L H/ J K-) G/H .-H/I KGH-HK./ F,, FF,/ /.( TIK ) AHMJ GPJ " D RWJ J " D J " FRI 2 2JHOJ BS F IV J K HFW SR SK F W K H FP RJX FP RJW S OV 9R .WM DS OVMST SR JWMSIJR XRI 2JVHM J GXRLVVT FHMJR X SIJPP J XRL XRI CJ K OFW SR SR AHMFPWXRLJR XRI A VWJ JR 2 C " ( MWWT0 F FHV S L K PJFI R XGP OFW SRJR TJR VHMJ GPJ G ( TIK E 8XFRL" FWOS VOF" A DFRL" FRI DX" AFKJW J K HFW SR SK IJJT RJX FP RJW S OV" 31C ( - R WJI WFPO" MWWT0 F S L FGV , ,/ 7 FW " 3 2F JWW" 4 4 PP" :XP FR" FRI SHMJRIJ KJ " JPXTPJ 0 1R JKK H JRW A B VSP J KS J K RL IJJT RJX FP RJW S OV" 31C ( -" MWWT0 F S L FGV - ( ) , 5MPJ V" 6S FP J K HFW SR SK JHJ D VJ P RJF 6JJI 6S F I RJX FP RJW S OV" MWWT0 F S L FGV - )(
  • 16. - - - - - - • 5 H H 0 : C 0H 0=LM M H 8 A H G HM C M A M H A M A H H MP EL H 1 G M 0 A M H 10 ) ( CMM L. PPP L C M H M = M H ))(+ +-, • . 5 ( C H R MC M M H M A G A P E H G M L A H LM G H M • . 3 = L A MR • . : L 4R 0: " 12308 = L H HM L • 12308 / 1 HM 2 G 3 0=LM M H 8 A H G HM
  • 17. - - - - - -
  • 18. ( ) ) ( • ) • ) : : , A A F . A : : :A : ,C AC C : , A :: ,C AC C = = = AC C = = : A GAEAC E C , A : : A = : ( AC C = = : = : A ,C : A AC C :: . ..
  • 19. - - - - - - • ,) ) ) . ( ( ,) , ,. , )( ) ). ( ) ) . , ) • ( ) ) ) . ) ) .) (
  • 20. - - - - - - • . 5.- . 50 - 0.5. .- , 3 • . 3 0.5. .- 53 5 . • . . . 03 , 3 . 50 . 3-
  • 21. • 2 8 C K 3 M K K K ? / / K T IP K?L O K A M I IA KM A K MPIK L 1 +MC IK LCI I MCI? ? / L CK BLL K C S K I? K B ? : K A M I OI 8 C M B ? 8RLM / : ( CMM , PPP O L IKB A ? M I 5 L C K O( ?A • , 0 KM I I MKI K • , --- IM PK MM M R MC K • , /I ? ? I? 0C B 8 LI O K 8. ) L ? • .?? B M A M I L MI L ? I LMK M KI B M I
  • 22.
  • 23. • 4R LF" 6TH IMT I " LF" LC R" D V SD H HB HML M CDDN LDR LD TM I "X 0. ( HLSH DC I" G N- HS M F A ,) G N - FH GRA BMK SD HCDDN C S • - K FD 0 H HB HML 0 2.: " K FD9D " 9 " :/ • - MB CSD H MAR LD • - 1H B D HW HML" 7 VD AV 7 VD
  • 24.
  • 25. • 2 = T 0 /=LLA 1 1 GG 3 G = = J DA ALBAL 7AG KGAR, . ABB A MJG AL BJL AL BS C AAK A L=G A JL M 0. ( + D K, =LR JLC = M + ( ) D KM, C D J C S = TT 7AG KGAR0= ( + • , = L JL A JGG M J = J = A MSM A BJL = A = L L=B .0. • , GJ =G CGJ =G = ALM=L =G LJ M AMM • , " 57. MJG AL AR A A J D= GA 7A5: • 57. 5 A=L 7A=G .L D A • 57. MJG AL M M =GGS =MA J =G M KGAR A DJ
  • 26. • , = (-- 2 = = =A A A = = 2 2 =A = 2 =2 = =D = 2= . • . 2 2= AA 2A 2 . 2 2A H I H • ) D A A = 2 = 2 A A ,0 A D 2 A 2A A = • 2 = . = ,0 A D = =A = 2A A • 0 A 2 2= = 2 2 A A D
  • 27. • : FC 6 B F B 6 -/) B A C : 6 / - 6 A C 0 F / - / F • 6 0 F B 6 -/) B A • , A 6 C B :CC ( B B BA AB 6 • + BCA CB A A A B C 6 B C 6 A 6B • !" = ∑%& ∈( )",+!+ A !+ ∈ , • ( B A B . ( B A B • -" ≤ !" ≤ /" A !" ∈ , ∪ 1 • : B A C B A BB C α ∶ , ∪ 1 → ℝ B : C: C ∀!+ ∈ 1. -+≤ α(!+) ≤ /+ 6 CA C B C B C: A 6B C A C B
  • 28. • , . 0 0 !", !$ ∈ & : 0 !$ = ReLU(!") • 0 : 0 0 0 1 0 0 0 A • ) 0 0 , A- 1A 0 :0 , . 0 A 0 % 0 0 A ( A
  • 29. • B? C? A C? . B? , • K ?G I B A B?? BA B A K B GA AA ) G • + BG C B A B? • (G A IB L BB ?? M 0 3 AB B?G BA
  • 30. - - - - - • - I .F D L FE F 3 " I E . " .F M E E MF I + N L F :I • I+ : FD F E • + , F I FE LF E 12/5 • + F F: L I F: I E II • + 51 0 E N FE F 07 1 N3FF //5 E E FEI E F FE
  • 31. - - - - - I L B E E F F E I E= 4 B N B E + B E ( I 5, IEBL E F BB = N F I I ) 5EBL 13 N B E I I =E = N I • I E A L = E E P I E= EL = N 4 1 E F = 4 1 = I B IEB E 0= I B I 02 .,50-1. • I B I = B E E F 005 0 B 0 = I B 5 I E = F I = N I 5, IEBL B I 5E I =E E I F EF E 3 I 3 I
  • 32. - - - - - • • ure 3: Two pairs of vehicle trajectories, where the first one is non-colliding, and the second one