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Volumn 11, Issue 2-3, 2004, Pages 255-267

Convexity of the reachable set of nonlinear systems under L2 bounded controls

Author keywords

Convexity; Image; Nonlinear control; Nonlinear transformation; Optimal control; Optimality conditions; Reachable set

Indexed keywords


EID: 4644364136     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (41)

References (12)
  • 2
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    • Some mapping theorems
    • L.M. Graves, Some mapping theorems, Duke Math, J., 17, (1950), 111-114.
    • (1950) Duke Math, J. , vol.17 , pp. 111-114
    • Graves, L.M.1
  • 3
    • 0034361329 scopus 로고    scopus 로고
    • Metric regularity and subdifferential calculus
    • A. Ioffe, Metric regularity and subdifferential calculus, Russ. Math. Surveys, 55, No 3, (2000), 501-556.
    • (2000) Russ. Math. Surveys , vol.55 , Issue.3 , pp. 501-556
    • Ioffe, A.1
  • 7
    • 0035598864 scopus 로고    scopus 로고
    • Convexity of nonlinear image of a small ball with applications to optimization
    • B. Polyak, Convexity of nonlinear image of a small ball with applications to optimization, Set-Valued Analysis, 9, No 1/2, (2001), 159-168.
    • (2001) Set-Valued Analysis , vol.9 , Issue.1-2 , pp. 159-168
    • Polyak, B.1
  • 8
    • 0037765790 scopus 로고    scopus 로고
    • Local programming
    • B. Polyak, Local programming, Comp. Math. and Math. Phys., 41, No. 9, (2001), 1259-1266.
    • (2001) Comp. Math. and Math. Phys. , vol.41 , Issue.9 , pp. 1259-1266
    • Polyak, B.1
  • 9
    • 4644284592 scopus 로고
    • On the theory of nonlinear control problems
    • in Russian
    • B.T. Polyak, On the theory of nonlinear control problems, Vestnik Mosc. Univ., Ser. Math., Mech., No 2, (1968), 30-40 (in Russian).
    • (1968) Vestnik Mosc. Univ., Ser. Math., Mech. , vol.2 , pp. 30-40
    • Polyak, B.T.1
  • 10
    • 0032259651 scopus 로고    scopus 로고
    • Convexity of quadratic transformations and its use in control and optimization
    • B.T. Polyak, Convexity of quadratic transformations and its use in control and optimization, Journ. Optim. Th. and Appl., 99, No 3, (1998), 553-583.
    • (1998) Journ. Optim. Th. and Appl. , vol.99 , Issue.3 , pp. 553-583
    • Polyak, B.T.1
  • 11
    • 0038648295 scopus 로고    scopus 로고
    • The convexity principle and its applications
    • B.T. Polyak, The convexity principle and its applications, Bull. Brazilian Math. Soc., 34, No 1, (2003), 1-17.
    • (2003) Bull. Brazilian Math. Soc. , vol.34 , Issue.1 , pp. 1-17
    • Polyak, B.T.1
  • 12
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • R.T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.