메뉴 건너뛰기




Volumn 7, Issue , 2002, Pages 97-133

Feedback in state constrained optimal control

Author keywords

Near optimal control feedback; Nonsmooth analysis; Optimal control; State constraint

Indexed keywords

APPROXIMATION THEORY; CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; INTEGRAL EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS); THEOREM PROVING;

EID: 0036409728     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2002005     Document Type: Article
Times cited : (28)

References (44)
  • 1
    • 0033276553 scopus 로고    scopus 로고
    • Patchy vector fields and asymptotic stabilization
    • F. Ancona and A. Bressan, Patchy vector fields and asymptotic stabilization. ESAIM: COCV 4 (1999) 445-471.
    • (1999) ESAIM: COCV , vol.4 , pp. 445-471
    • Ancona, F.1    Bressan, A.2
  • 2
    • 0011216004 scopus 로고
    • On continuous evasion strategies in game theoretic problems on the encounter of motions
    • N.N. Barabanova and A.I. Subbotin, On continuous evasion strategies in game theoretic problems on the encounter of motions. Prikl. Mat. Mekh. 34 (1970) 796-803.
    • (1970) Prikl. Mat. Mekh. , vol.34 , pp. 796-803
    • Barabanova, N.N.1    Subbotin, A.I.2
  • 3
    • 0011179995 scopus 로고
    • On classes of strategies in differential games of evasion
    • N.N. Barabanova and A.I. Subbotin, On classes of strategies in differential games of evasion. Prikl. Mat. Mekh. 35 (1971) 385-392.
    • (1971) Prikl. Mat. Mekh. , vol.35 , pp. 385-392
    • Barabanova, N.N.1    Subbotin, A.I.2
  • 5
    • 0024732015 scopus 로고
    • Optimal feedback controls
    • L.D. Berkovitz, Optimal feedback controls. SIAM J. Control Optim. 27 (1989) 991-1006.
    • (1989) SIAM J. Control Optim. , vol.27 , pp. 991-1006
    • Berkovitz, L.D.1
  • 6
    • 0026254228 scopus 로고
    • Some characterizations of optimal trajectories in control theory
    • P. Cannarsa and H. Frankowska, Some characterizations of optimal trajectories in control theory. SIAM J. Control Optim. 29 (1991) 1322-1347.
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 1322-1347
    • Cannarsa, P.1    Frankowska, H.2
  • 7
    • 84966227140 scopus 로고
    • Hamilton—Jacobi equations with state constraints
    • I. Capuzzo—Dolcetta and P.L. Lions, Hamilton—Jacobi equations with state constraints. Trans. Amer. Math. Soc. 318 (1990) 643-683.
    • (1990) Trans. Amer. Math. Soc. , vol.318 , pp. 643-683
    • Dolcetta, I.C.1    Lions, P.L.2
  • 8
    • 0003859933 scopus 로고
    • Wiley-Interscience, New York (1983). Republished as Vol. 5 of Classics in Appl. Math. SIAM, Philadelphia
    • F.H. Clarke, Optimization and Nonsmooth Analysis. Wiley-Interscience, New York (1983). Republished as Vol. 5 of Classics in Appl. Math. SIAM, Philadelphia (1990).
    • (1990) Optimization and Nonsmooth Analysis
    • Clarke, F.H.1
  • 9
    • 84996140836 scopus 로고
    • Vol. 57 of CBMS-NSF Regional Conference Series in Applied Mathematics. SIAM, Philadelphia
    • F.H. Clarke, Methods of Dynamic and Nonsmooth Optimization, Vol. 57 of CBMS-NSF Regional Conference Series in Applied Mathematics. SIAM, Philadelphia (1989).
    • (1989) Methods of Dynamic and Nonsmooth Optimization
    • Clarke, F.H.1
  • 14
    • 0031098308 scopus 로고    scopus 로고
    • Universal feedback strategies for differential games of pursuit
    • F.H. Clarke, Yu.S. Ledyaev and A.I. Subbotin, Universal feedback strategies for differential games of pursuit. SIAM J. Control Optim. 35 (1997) 552-561.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 552-561
    • Clarke, F.H.1    Ledyaev, Y.2    Subbotin, A.I.3
  • 15
    • 0142108908 scopus 로고    scopus 로고
    • Universal positional control
    • Preliminary version: Preprint CRM-2386. Univ. de Montreal
    • F.H. Clarke, Yu.S. Ledyaev and A.I. Subbotin, Universal positional control. Proc. Steklov Inst. Math. 224 (1999) 165-186. Preliminary version: Preprint CRM-2386. Univ. de Montreal (1994).
    • (1999) Proc. Steklov Inst. Math , vol.224 , pp. 165-186
    • Clarke, F.H.1    Ledyaev, Y.2    Subbotin, A.I.3
  • 16
    • 21944456417 scopus 로고    scopus 로고
    • Complements, approximations, smoothings and invariance properties
    • F.H. Clarke, Yu.S. Ledyaev and R.J. Stern, Complements, approximations, smoothings and invariance properties. J. Convex Anal. 4 (1997) 189-219.
    • (1997) J. Convex Anal. , vol.4 , pp. 189-219
    • Clarke, F.H.1    Ledyaev, Y.2    Stern, R.J.3
  • 19
    • 0001385681 scopus 로고    scopus 로고
    • On nonconvex differential inclusions whose state is constrained in the closure of an open set. Applications to dynamic programming
    • F. Forcellini and F. Rampazzo, On nonconvex differential inclusions whose state is constrained in the closure of an open set. Applications to dynamic programming. Differential and Integral Equations 12 (1999) 471-497.
    • (1999) Differential and Integral Equations , vol.12 , pp. 471-497
    • Forcellini, F.1    Rampazzo, F.2
  • 20
    • 0034148320 scopus 로고    scopus 로고
    • Filippov’s and Filippov—Wazewski’s theorems on closed domains
    • H. Frankowska and F. Rampazzo, Filippov’s and Filippov—Wazewski’s theorems on closed domains. J. Differential Equations 161 (2000) 449-478.
    • (2000) J. Differential Equations , vol.161 , pp. 449-478
    • Frankowska, H.1    Rampazzo, F.2
  • 21
    • 0029369248 scopus 로고
    • Suboptimal universalstrategiesin a game-theoretictime-optimality problem
    • G.G. Garnysheva and A.I. Subbotin, Suboptimal universalstrategiesin a game-theoretictime-optimality problem. Prikl. Mat. Mekh. 59 (1995) 707-713.
    • (1995) Prikl. Mat. Mekh. , vol.59 , pp. 707-713
    • Garnysheva, G.G.1    Subbotin, A.I.2
  • 22
    • 0002798456 scopus 로고
    • New concepts in nondifferentiable programming
    • J.-B. Hiriart—Urruty, New concepts in nondifferentiable programming. Bull. Soc. Math. France 60 (1979) 57-85.
    • (1979) Bull. Soc. Math. France , vol.60 , pp. 57-85
    • Urruty, J.-B.H.1
  • 23
  • 24
    • 0011230573 scopus 로고
    • Differential games. Approximateand formal models
    • N.N. Krasovskiĭ, Differential games. Approximate and formal models. Mat. Sb. (N.S.) 107 (1978) 541-571.
    • (1978) Mat. Sb. (N.S.) , vol.107 , pp. 541-571
    • Krasovskiĭ, N.N.1
  • 25
    • 0021594062 scopus 로고
    • Extremal aiming and extremal displacement in a game-theoreticalcontrol
    • N.N. Krasovskiĭ, Extremal aiming and extremal displacement in a game-theoreticalcontrol. Problems Control Inform. Theory 13 (1984) 287-302.
    • (1984) Problems Control Inform. Theory , vol.13 , pp. 287-302
    • Krasovskiĭ, N.N.1
  • 27
    • 0003789469 scopus 로고
    • Nauka, Moscow (1974). French translation: Jeux Différentielles. Mir, Moscou
    • N.N. Krasovskiĭ and A.I. Subbotin, Positional Differential Games. Nauka, Moscow (1974). French translation: Jeux Différentielles. Mir, Moscou (1979).
    • (1979) Positional Differential Games
    • Krasovskiĭ, N.N.1    Subbotin, A.I.2
  • 30
    • 0034349659 scopus 로고    scopus 로고
    • Universal near-optimal control feedbacks
    • S. Nobakhtian and R.J. Stern, Universal near-optimal control feedbacks. J. Optim. Theory Appl. 107 (2000) 89-123.
    • (2000) J. Optim. Theory Appl. , vol.107 , pp. 89-123
    • Nobakhtian, S.1    Stern, R.J.2
  • 32
    • 0034134459 scopus 로고    scopus 로고
    • Stabilisation des systemes globalement asymptotiquement commandables
    • L. Rifford, Stabilisation des systemes globalement asymptotiquement commandables. C. R. Acad. Sci. Paris 330 (2000) 211-216.
    • (2000) C. R. Acad. Sci. Paris , vol.330 , pp. 211-216
    • Rifford, L.1
  • 33
    • 84996137719 scopus 로고    scopus 로고
    • Existence of Lipschitz and semiconcave control-Lyapunov functions
    • (to appear)
    • L. Rifford, Existence of Lipschitz and semiconcave control-Lyapunov functions. SIAM J. Control Optim. (to appear).
    • SIAM J. Control Optim
    • Rifford, L.1
  • 34
    • 0000670389 scopus 로고
    • Clarke’s tangent cones and boundaries of closed sets in Rn
    • n. Nonlinear Anal. 3 (1979) 145-154.
    • (1979) Nonlinear Anal , vol.3 , pp. 145-154
    • Rockafellar, R.T.1
  • 35
    • 0002085846 scopus 로고
    • Favorable classes of Lipschitz continuous functions in subgradient optimization
    • edited by E. Nurminski. Permagon Press, New York
    • R.T. Rockafellar, Favorable classes of Lipschitz continuous functions in subgradient optimization, in Nondifferentiable Optimization, edited by E. Nurminski. Permagon Press, New York (1982).
    • (1982) Nondifferentiable Optimization
    • Rockafellar, R.T.1
  • 36
    • 0026155748 scopus 로고
    • Construction of optimal control feedback controls
    • J.D.L. Rowland and R.B. Vinter, Construction of optimal control feedback controls. Systems Control Lett. 16 (1991) 357-357.
    • (1991) Systems Control Lett , vol.16 , pp. 357
    • Rowland, J.D.L.1    Vinter, R.B.2
  • 37
    • 0022715502 scopus 로고
    • Optimal control problems with state-space constraints I
    • M. Soner, Optimal control problems with state-space constraints I. SIAM J. Control Optim. 24 (1986) 551-561.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 551-561
    • Soner, M.1
  • 38
    • 0003280073 scopus 로고    scopus 로고
    • 2nd Ed. Springer-Verlag, New York, Texts in Appl. Math
    • E.D. Sontag, Mathematical Control Theory, 2nd Ed. Springer-Verlag, New York, Texts in Appl. Math. 6 (1998).
    • (1998) Mathematical Control Theory , vol.6
    • Sontag, E.D.1
  • 39
    • 0033276542 scopus 로고    scopus 로고
    • Clock and insensitivityto small measurement errors
    • E.D. Sontag, Clock and insensitivityto small measurement errors. ESAIM: COCV 4 (1999) 537-557.
    • (1999) ESAIM: COCV , vol.4 , pp. 537-557
    • Sontag, E.D.1
  • 41
    • 0000711955 scopus 로고
    • Universal optimal strategies in positional differential games
    • N.N. Subbotina, Universal optimal strategies in positional differential games. Differential Equations 19 (1983) 1377-1382.
    • (1983) Differential Equations , vol.19 , pp. 1377-1382
    • Subbotina, N.N.1
  • 42
    • 0024927201 scopus 로고
    • The maximum principle and the superdifferentialof the value function
    • N.N. Subbotina, The maximum principle and the superdifferentialof the value function. Problems Control Inform. Theory 18 (1989) 151-160.
    • (1989) Problems Control Inform. Theory , vol.18 , pp. 151-160
    • Subbotina, N.N.1
  • 43
    • 84996132843 scopus 로고    scopus 로고
    • Preprints of the eleventh IFAC International Workshop, Control Applications of Optimization, edited by V. Zakharov
    • N.N. Subbotina, On structure of optimal feedbacks to control problems, Preprints of the eleventh IFAC International Workshop, Control Applications of Optimization, edited by V. Zakharov (2000).
    • (2000) On Structure of Optimal Feedbacks to Control Problems
    • Subbotina, N.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.