메뉴 건너뛰기




Volumn 51, Issue 1, 2009, Pages 163-189

Nonsmooth coordination and geometric optimization via distributed dynamical systems

Author keywords

Coordination and cooperative control; Disk covering problem; Distributed dynamical systems; Geometric optimization; Nonsmooth analysis; Sphere packing problem; Voronoi partitions

Indexed keywords

COORDINATION AND COOPERATIVE CONTROL; DISK-COVERING PROBLEM; DISTRIBUTED DYNAMICAL SYSTEMS; GEOMETRIC OPTIMIZATION; NONSMOOTH ANALYSIS; SPHERE-PACKING PROBLEM; VORONOI PARTITIONS;

EID: 59749102603     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/080737551     Document Type: Review
Times cited : (16)

References (49)
  • 1
    • 0032266683 scopus 로고    scopus 로고
    • Efficient algorithms for geometric optimization
    • P. K. AGARWAL AND M. SHARIR, Efficient algorithms for geometric optimization, ACM Comput. Surveys, 30 (1998), pp. 412-158.
    • (1998) ACM Comput. Surveys , vol.30 , pp. 412-158
    • AGARWAL, P.K.1    SHARIR, M.2
  • 2
    • 0033276564 scopus 로고    scopus 로고
    • Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions
    • A. BACCIOTTI AND F. CERAGIOLI, Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions, ESAIM Control Optim. Calc. Var., 4 (1999), pp. 361-376.
    • (1999) ESAIM Control Optim. Calc. Var , vol.4 , pp. 361-376
    • BACCIOTTI, A.1    CERAGIOLI, F.2
  • 3
    • 0016333107 scopus 로고
    • Hexagonal territories
    • G. W. BARLOW, Hexagonal territories, Animal Behavior, 22 (1974), pp. 876-878.
    • (1974) Animal Behavior , vol.22 , pp. 876-878
    • BARLOW, G.W.1
  • 4
    • 59749103410 scopus 로고    scopus 로고
    • V. BOLTYANSKI, H. MARTINI, AND V. SOLTAN, Geometric Methods and Optimization Problems, Comb. Optim. 4, Kluwer Academic, Dordrecht, The Netherlands, 1999.
    • V. BOLTYANSKI, H. MARTINI, AND V. SOLTAN, Geometric Methods and Optimization Problems, Comb. Optim. 4, Kluwer Academic, Dordrecht, The Netherlands, 1999.
  • 6
    • 0042615879 scopus 로고
    • Ants, Crickets, and Frogs in Cyclic Pursuit
    • 9105, Center for Intelligent Systems, Technion, Haifa, Israel, available online from
    • A. M. BRUCKSTEIN, N. COHEN, AND A. EFRAT, Ants, Crickets, and Frogs in Cyclic Pursuit, Tech. Report CIS 9105, Center for Intelligent Systems, Technion, Haifa, Israel, 1991; available online from http://www.cs.technion.ac.il/tech-reports.
    • (1991) Tech. Report CIS
    • BRUCKSTEIN, A.M.1    COHEN, N.2    EFRAT, A.3
  • 7
    • 84868875003 scopus 로고    scopus 로고
    • F. BULLO, J. CORTÉS, AND S. MARTÍ NEZ, Distributed Control of Robotic Networks, Princeton University Press, Princeton, NJ, 2008. Manuscript under contract. Available online from http://www.coordinationbook.info.
    • F. BULLO, J. CORTÉS, AND S. MARTÍ NEZ, Distributed Control of Robotic Networks, Princeton University Press, Princeton, NJ, 2008. Manuscript under contract. Available online from http://www.coordinationbook.info.
  • 9
    • 0345979682 scopus 로고    scopus 로고
    • Nonsmooth analysis, convex analysis, and their applications to motion planning
    • H. CHOSET, Nonsmooth analysis, convex analysis, and their applications to motion planning, Internat. J. Comput. Geom. Appl., 9 (1999), pp. 447-469.
    • (1999) Internat. J. Comput. Geom. Appl , vol.9 , pp. 447-469
    • CHOSET, H.1
  • 10
    • 33846939290 scopus 로고    scopus 로고
    • Mobile robotic sensors for perimeter detection and tracking
    • J. CLARK AND R. FIERRO, Mobile robotic sensors for perimeter detection and tracking, ISA Trans., 46 (2007), pp. 3-13.
    • (2007) ISA Trans , vol.46 , pp. 3-13
    • CLARK, J.1    FIERRO, R.2
  • 11
    • 59749083508 scopus 로고    scopus 로고
    • F. H. CLARKE, Optimization and Nonsmooth Analysis, Canad. Math. Soc. Ser. Monogr. Adv. Texts, John Wiley, New York, 1983.
    • F. H. CLARKE, Optimization and Nonsmooth Analysis, Canad. Math. Soc. Ser. Monogr. Adv. Texts, John Wiley, New York, 1983.
  • 12
    • 33748930431 scopus 로고    scopus 로고
    • Finite-time convergent gradient flows with applications to network consensus
    • J. CORTÉS, Finite-time convergent gradient flows with applications to network consensus, Automatica, 42 (2006), pp. 1993-2000.
    • (2006) Automatica , vol.42 , pp. 1993-2000
    • CORTÉS, J.1
  • 13
    • 44649117370 scopus 로고    scopus 로고
    • Discontinuous dynamical systems - a tutorial on solutions, nonsmooth analysis, and stability
    • J. CORTÉS, Discontinuous dynamical systems - a tutorial on solutions, nonsmooth analysis, and stability, IEEE Control Systems Mag., 28 (2008), pp. 36-73.
    • (2008) IEEE Control Systems Mag , vol.28 , pp. 36-73
    • CORTÉS, J.1
  • 14
    • 33748936901 scopus 로고    scopus 로고
    • Coordination and geometric optimization via distributed dynamical systems
    • J. CORTÉS AND F. BULLO, Coordination and geometric optimization via distributed dynamical systems, SIAM J. Control Optim., 44 (2005), pp. 1543-1574.
    • (2005) SIAM J. Control Optim , vol.44 , pp. 1543-1574
    • CORTÉS, J.1    BULLO, F.2
  • 17
    • 0003978468 scopus 로고
    • Facility Location: A Survey of Applications and Methods
    • ed, Res, Springer-Verlag, New York
    • Z. DREZNER, ed., Facility Location: A Survey of Applications and Methods, Springer Ser. Oper. Res., Springer-Verlag, New York, 1995.
    • (1995) Springer Ser. Oper
  • 18
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellations: Applications and algorithms
    • Q. DU, V. FABER., AND M. GUNZBURGER, Centroidal Voronoi tessellations: Applications and algorithms, SIAM Rev., 41 (1999), pp. 637-676.
    • (1999) SIAM Rev , vol.41 , pp. 637-676
    • DU, Q.1    FABER, V.2    GUNZBURGER, M.3
  • 21
    • 59649106137 scopus 로고    scopus 로고
    • Asymptotic optimality of multicenter Voronoi configurations for random field estimation
    • to appear
    • R. GRAHAM AND J. CORTÉS, Asymptotic optimality of multicenter Voronoi configurations for random field estimation, IEEE Trans. Automat. Control, to appear.
    • IEEE Trans. Automat. Control
    • GRAHAM, R.1    CORTÉS, J.2
  • 25
    • 33745700844 scopus 로고    scopus 로고
    • A grammatical approach to self-organizing robotic systems
    • E. KLAVINS, R. GHRIST, AND D. LIPSKY, A grammatical approach to self-organizing robotic systems, IEEE Trans. Automat. Control, 51 (2006), pp. 949-962.
    • (2006) IEEE Trans. Automat. Control , vol.51 , pp. 949-962
    • KLAVINS, E.1    GHRIST, R.2    LIPSKY, D.3
  • 26
    • 59749098727 scopus 로고    scopus 로고
    • Stabilization of infinitesimally rigid formations of multi-robot networks
    • to appear
    • L. KRICK, M. E. BROUCKE, AND B. FRANCIS, Stabilization of infinitesimally rigid formations of multi-robot networks, Internat. J. Control, to appear.
    • Internat. J. Control
    • KRICK, L.1    BROUCKE, M.E.2    FRANCIS, B.3
  • 28
    • 53249101881 scopus 로고    scopus 로고
    • The multi-agent rendezvous problem. Part 1: The synchronous case, SIAM J
    • J. LIN, A. S. MORSE, AND B. D. O. ANDERSON, The multi-agent rendezvous problem. Part 1: The synchronous case, SIAM J. Control Optim., 46 (2007), pp. 2096-2119.
    • (2007) Control Optim , vol.46 , pp. 2096-2119
    • LIN, J.1    MORSE, A.S.2    ANDERSON, B.D.O.3
  • 29
    • 0020102027 scopus 로고
    • Least squares quantization in PCM
    • S. P. LLOYD, Least squares quantization in PCM, IEEE Trans. Inform. Theory, 28 (1982), pp. 129-137.
    • (1982) IEEE Trans. Inform. Theory , vol.28 , pp. 129-137
    • LLOYD, S.P.1
  • 30
    • 0030713716 scopus 로고    scopus 로고
    • Decentralized motion planning for multiple mobile robots: The cocktail party model
    • V. J. LUMELSKY AND K. R. HARINARAYAN, Decentralized motion planning for multiple mobile robots: The cocktail party model, Autonomous Robots, 4 (1997), pp. 121-135.
    • (1997) Autonomous Robots , vol.4 , pp. 121-135
    • LUMELSKY, V.J.1    HARINARAYAN, K.R.2
  • 32
    • 33144463555 scopus 로고    scopus 로고
    • Optimal sensor placement and motion coordination for target tracking
    • S. MARTÍNEZ AND F. BULLO, Optimal sensor placement and motion coordination for target tracking, Automatica, 42 (2006), pp. 661-668.
    • (2006) Automatica , vol.42 , pp. 661-668
    • MARTÍNEZ, S.1    BULLO, F.2
  • 33
  • 34
    • 0003760944 scopus 로고    scopus 로고
    • Spatial Tessellations: Concepts and Applications of Voronoi Diagrams
    • 2nd ed, Stat, John Wiley, New York
    • A. OKABE, B. BOOTS, K. SUGIHARA, AND S. N. CHIU, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2nd ed., Wiley Ser. Probab. Stat., John Wiley, New York, 2000.
    • (2000) Wiley Ser. Probab
    • OKABE, A.1    BOOTS, B.2    SUGIHARA, K.3    CHIU, S.N.4
  • 35
    • 64149119332 scopus 로고    scopus 로고
    • Consensus and cooperation in networked multi-agent systems
    • R. OLFATI-SABER., J. A. FAX, AND R. M. MURRAY, Consensus and cooperation in networked multi-agent systems, Proc. IEEE, 95 (2007), pp. 215-233.
    • (2007) Proc. IEEE , vol.95 , pp. 215-233
    • OLFATI-SABER, R.1    FAX, J.A.2    MURRAY, R.M.3
  • 36
    • 0023123261 scopus 로고
    • A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators
    • B. PADEN AND S. S. SASTRY, A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators, IEEE Trans. Circuits Systems, 34 (1987), pp. 73-82.
    • (1987) IEEE Trans. Circuits Systems , vol.34 , pp. 73-82
    • PADEN, B.1    SASTRY, S.S.2
  • 37
    • 37549054019 scopus 로고    scopus 로고
    • Decentralized cooperative policy for conflict resolution in multi-vehicle systems
    • L. PALLOTTINO, V. G. SCORDIO, E. FRAZZOLI, AND A. BICCHI, Decentralized cooperative policy for conflict resolution in multi-vehicle systems, IEEE Trans. Robotics, 23 (2007), pp. 1170-1183.
    • (2007) IEEE Trans. Robotics , vol.23 , pp. 1170-1183
    • PALLOTTINO, L.1    SCORDIO, V.G.2    FRAZZOLI, E.3    BICCHI, A.4
  • 38
    • 34147163355 scopus 로고    scopus 로고
    • Information consensus in multivehicle cooperative control: Collective group behavior through local interaction
    • W. REN, R. W. BEARD, AND E. M. ATKINS, Information consensus in multivehicle cooperative control: Collective group behavior through local interaction, IEEE Control Systems Mag., 27 (2007), pp. 71-82.
    • (2007) IEEE Control Systems Mag , vol.27 , pp. 71-82
    • REN, W.1    BEARD, R.W.2    ATKINS, E.M.3
  • 39
    • 4243419672 scopus 로고
    • Computational geometry and facility location
    • Manila, Operations Research Society of the Philippines, The Philippines
    • J.-M. ROBERT AND G. T. TOUSSAINT, Computational geometry and facility location, in International Conference on Operations Research and Management Science, Vol. B, Manila, Operations Research Society of the Philippines, The Philippines, 1990, pp. 1-19.
    • (1990) International Conference on Operations Research and Management Science , vol.B , pp. 1-19
    • ROBERT, J.-M.1    TOUSSAINT, G.T.2
  • 40
    • 34249023580 scopus 로고    scopus 로고
    • Stabilization of planar collective motion: All-to-all communication
    • R. SEPULCHRE, D. PALEY, AND N. E. LEONARD, Stabilization of planar collective motion: All-to-all communication, IEEE Trans. Automat. Control, 52 (2007), pp. 811-824.
    • (2007) IEEE Trans. Automat. Control , vol.52 , pp. 811-824
    • SEPULCHRE, R.1    PALEY, D.2    LEONARD, N.E.3
  • 41
    • 33847672344 scopus 로고    scopus 로고
    • Transfer time complexity of conflict-free vehicle routing with no communications
    • V. SHARMA, M. SAVCHENKO, E. FRAZZOLI, AND P. VOULGARIS, Transfer time complexity of conflict-free vehicle routing with no communications, Internat. J. Robotics Res., 26 (2007), pp. 255-272.
    • (2007) Internat. J. Robotics Res , vol.26 , pp. 255-272
    • SHARMA, V.1    SAVCHENKO, M.2    FRAZZOLI, E.3    VOULGARIS, P.4
  • 42
    • 0028497846 scopus 로고
    • Lyapunov stability theory of nonsmooth systems
    • D. SHEVITZ AND B. PADEN, Lyapunov stability theory of nonsmooth systems, IEEE Trans. Automat. Control, 39 (1994), pp. 1910-1914.
    • (1994) IEEE Trans. Automat. Control , vol.39 , pp. 1910-1914
    • SHEVITZ, D.1    PADEN, B.2
  • 43
    • 0026103114 scopus 로고
    • A simple algorithm for computing the smallest enclosing circle
    • S. SKYUM, A simple algorithm for computing the smallest enclosing circle, Inform.Process. Lett., 37 (1991), pp. 121-125.
    • (1991) Inform.Process. Lett , vol.37 , pp. 121-125
    • SKYUM, S.1
  • 44
    • 40949149906 scopus 로고    scopus 로고
    • Monitoring environmental boundaries with a robotic sensor network
    • S. SUSCA, S. MARTÍNEZ, AND F. BULLO, Monitoring environmental boundaries with a robotic sensor network, IEEE Trans. Control Systems Tech., 16 (2008), pp. 288-296.
    • (2008) IEEE Trans. Control Systems Tech , vol.16 , pp. 288-296
    • SUSCA, S.1    MARTÍNEZ, S.2    BULLO, F.3
  • 45
    • 0030417601 scopus 로고    scopus 로고
    • The p-center location problem in an area
    • A. SUZUKI AND Z. DREZNER, The p-center location problem in an area, Location Sci., 4 (1996), pp. 69-82.
    • (1996) Location Sci , vol.4 , pp. 69-82
    • SUZUKI, A.1    DREZNER, Z.2
  • 46
    • 0032681092 scopus 로고    scopus 로고
    • Distributed anonymous mobile robots: Formation of geometric patterns
    • I. SUZUKI AND M. YAMASHITA, Distributed anonymous mobile robots: Formation of geometric patterns, SIAM J. Comput., 28 (1999), pp. 1347-1363.
    • (1999) SIAM J. Comput , vol.28 , pp. 1347-1363
    • SUZUKI, I.1    YAMASHITA, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.