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Volumn 45, Issue 5, 2006, Pages 1657-1679

Maximizing visibility in nonconvex polygons: Nonsmooth analysis and gradient algorithm design

Author keywords

Dynamical systems; Geometric optimization; Nonsmooth analysis; Robotics; Stability theory

Indexed keywords

ALGORITHMS; DYNAMICAL SYSTEMS; FINITE ELEMENT METHOD; FUNCTION EVALUATION; ROBOTICS;

EID: 34648827209     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/050621918     Document Type: Article
Times cited : (16)

References (16)
  • 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
    • 34648858902 scopus 로고    scopus 로고
    • Visibility optimization using variational approaches
    • L.-T. CHENG AND Y.-H. TSAI, Visibility optimization using variational approaches, Commun. Math. Sci., 3 (2005), pp. 425-451.
    • (2005) Commun. Math. Sci , vol.3 , pp. 425-451
    • CHENG, L.-T.1    TSAI, Y.-H.2
  • 5
    • 34648838199 scopus 로고    scopus 로고
    • F. H. CLARKE, Optimization and nonsmooth analysis, Canad. Math. Soc. Ser. Monogr. Adv. Texts, John Wiley & Sons, New York, 1983.
    • F. H. CLARKE, Optimization and nonsmooth analysis, Canad. Math. Soc. Ser. Monogr. Adv. Texts, John Wiley & Sons, New York, 1983.
  • 6
    • 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
  • 8
    • 0035591766 scopus 로고    scopus 로고
    • The effect of visibility on space use by territorial red-capped cardinals
    • P. K. EASON AND J. A. STAMPS, The effect of visibility on space use by territorial red-capped cardinals, Behaviour, 138 (2001), pp. 19-30.
    • (2001) Behaviour , vol.138 , pp. 19-30
    • EASON, P.K.1    STAMPS, J.A.2
  • 10
    • 0036820827 scopus 로고    scopus 로고
    • Navigation strategies for exploring indoor environments
    • H. H. GONZÁLEZ-BAÑOS AND J.-C. LATOMBE, Navigation strategies for exploring indoor environments, Internat. J. Robotics Res., 21 (2002), pp. 829-848.
    • (2002) Internat. J. Robotics Res , vol.21 , pp. 829-848
    • GONZÁLEZ-BAÑOS, H.H.1    LATOMBE, J.-C.2
  • 11
    • 84971910215 scopus 로고
    • Foundations of a theory of convexity on affine Grassmann manifolds
    • J. E. GOODMAN AND R. POLLACK, Foundations of a theory of convexity on affine Grassmann manifolds, Mathematika, 42 (1995), pp. 305-328.
    • (1995) Mathematika , vol.42 , pp. 305-328
    • GOODMAN, J.E.1    POLLACK, R.2
  • 12
    • 0032164214 scopus 로고    scopus 로고
    • Analysis of the greedy approach in problems of maximum k-coverage
    • D. S. HOCHBAUM AND A. PATHRIA, Analysis of the greedy approach in problems of maximum k-coverage, Naval Res. Logist., 45 (1998), pp. 615-627.
    • (1998) Naval Res. Logist , vol.45 , pp. 615-627
    • HOCHBAUM, D.S.1    PATHRIA, A.2
  • 14
    • 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 and Systems, 34 (1987), pp. 73-82.
    • (1987) IEEE Trans. Circuits and Systems , vol.34 , pp. 73-82
    • PADEN, B.1    SASTRY, S.S.2
  • 15
    • 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
  • 16
    • 0032438217 scopus 로고    scopus 로고
    • Guarding galleries where no point sees a small area
    • P. VALTR, Guarding galleries where no point sees a small area, Israel J. Math., 104 (1998), pp. 1-16.
    • (1998) Israel J. Math , vol.104 , pp. 1-16
    • VALTR, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.