메뉴 건너뛰기




Volumn 44, Issue 5, 2006, Pages 1543-1574

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: 33748936901     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012903428652     Document Type: Article
Times cited : (380)

References (31)
  • 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. 412-458.
    • (1998) ACM Comput. Surveys , vol.30 , pp. 412-458
    • Agarwal, P.K.1    Sharir, M.2
  • 3
    • 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
  • 5
    • 0003564262 scopus 로고    scopus 로고
    • Geometric methods and optimization problems
    • Kluwer Academic Publishers, Dordrecht, The Netherlands
    • V. BOLTYANSKI, H. MARTINI, AND V. SOLTAN, Geometric Methods and Optimization Problems, Comb. Optim. 4, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1999.
    • (1999) Comb. Optim. , vol.4
    • Boltyanski, V.1    Martini, H.2    Soltan, V.3
  • 8
    • 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
    • 1542379751 scopus 로고    scopus 로고
    • From geometric optimization and nonsmooth analysis to distributed coordination algorithms
    • Maui, HI
    • J. CORTÉS AND F. BULLO, From geometric optimization and nonsmooth analysis to distributed coordination algorithms, in Proceedings of the IEEE Conference on Decision and Control, Maui, HI, 2003, pp. 3274-3280.
    • (2003) Proceedings of the IEEE Conference on Decision and Control , pp. 3274-3280
    • Cortés, J.1    Bullo, F.2
  • 13
    • 0003978468 scopus 로고
    • Facility location: A survey of applications and methods
    • Z. DREZNER, ED., Springer-Verlag, New York
    • Z. DREZNER, ED., Facility Location: A Survey of Applications and Methods, Springer Series in Operations Research, Springer-Verlag, New York, 1995.
    • (1995) Springer Series in Operations Research
  • 14
    • 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
  • 15
    • 0003297526 scopus 로고
    • Differential equations with discontinuous righthand sides
    • Kluwer Academic Publishers, Dordrecht, The Netherlands
    • A. F. FILIPPOV, Differential Equations with Discontinuous Righthand Sides, Math. Appl. 18, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1988.
    • (1988) Math. Appl. , vol.18
    • Filippov, A.F.1
  • 18
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile autonomous agents using nearest neighbor rules
    • A. JADBABAIE, J. LIN, AND A. S. MORSE, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Trans. Automat. Control, 48 (2003), pp. 988-1001.
    • (2003) IEEE Trans. Automat. Control , vol.48 , pp. 988-1001
    • Jadbabaie, A.1    Lin, J.2    Morse, A.S.3
  • 19
    • 0037250273 scopus 로고    scopus 로고
    • Stability analysis of m-dimensional asynchronous swarms with a fixed communication topology
    • Y. LIU, K. M. PASSINO, AND M. M. POLYCARPOU, Stability analysis of m-dimensional asynchronous swarms with a fixed communication topology, IEEE Trans. Automat. Control, 48 (2003), pp. 76-95.
    • (2003) IEEE Trans. Automat. Control , vol.48 , pp. 76-95
    • Liu, Y.1    Passino, K.M.2    Polycarpou, M.M.3
  • 20
    • 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
  • 22
    • 4344586379 scopus 로고    scopus 로고
    • Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment
    • P. ÖGREN, E. FIORELLI, AND N. E. LEONARD, Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment, IEEE Trans. Automat. Control, 49 (2004), pp. 1292-1302.
    • (2004) IEEE Trans. Automat. Control , vol.49 , pp. 1292-1302
    • Ögren, P.1    Fiorelli, E.2    Leonard, N.E.3
  • 24
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with switching topology and time-delays
    • R. OLFATI-SABER AND R. M. MURRAY, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automat. Control, 49 (2004), pp. 1520-1533.
    • (2004) IEEE Trans. Automat. Control , vol.49 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.M.2
  • 25
    • 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. 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.2
  • 27
    • 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
  • 28
    • 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
  • 29
    • 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 Science, 4 (1996), pp. 69-82.
    • (1996) Location Science , vol.4 , pp. 69-82
    • Suzuki, A.1    Drezner, Z.2
  • 30
    • 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.