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Volumn 37, Issue 13, 2004, Pages 21-32

Dynamic optimization for nonlinear target control synthesis

Author keywords

Control synthesis; Dynamic Programming; Guaranteed estimation; Hamiltonian; HJB and HJBI equation; Measurement feedback control; Nonlinear system; Reachability; Safety zones; State constraints; Target set

Indexed keywords

CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; HAMILTONIANS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; VARIATIONAL TECHNIQUES;

EID: 85064513347     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1016/S1474-6670(17)31196-5     Document Type: Conference Paper
Times cited : (9)

References (68)
  • 6
    • 0015049633 scopus 로고
    • Recursive state estimation for a set-members hip description of uncertainty
    • Bertsekas, D. P. and I. Rhodes (1971). Recursive state estimation for a set-members hip description of uncertainty. IEEE, Trans. Aut. Cont. 16(2), 117-128.
    • (1971) IEEE, Trans. Aut. Cont. , vol.16 , Issue.2 , pp. 117-128
    • Bertsekas, D.P.1    Rhodes, I.2
  • 9
    • 0003904892 scopus 로고    scopus 로고
    • Nonsmooth analysis and control theory
    • Springer. N. Y
    • Clarke, F. H., Yu. S. Ledyaev, R. J. Stern and P. R. Wolenski (1998). Nonsmooth Analysis and Control Theory. Number 178 in: GTM. Springer. N. Y.
    • (1998) GTM , Issue.178
    • Clarke, F.H.1    Ledyaev, Yu.S.2    Stern, R.J.3    Wolenski, P.R.4
  • 11
    • 0002961583 scopus 로고
    • The existence of value in differential games of pursuit and evasion
    • Elliot, R. J. and N. J. Kallon (1972). The existence of value in differential games of pursuit and evasion. Journal of Differential Equations 12(3), 504-523.
    • (1972) Journal of Differential Equations , vol.12 , Issue.3 , pp. 504-523
    • Elliot, R.J.1    Kallon, N.J.2
  • 12
    • 0028518326 scopus 로고
    • Level sets of viscosity solutions: Some applications to fronts and rendez-vous problems
    • Falcone M., T. Giorgi and P. Loreti, (1994). Level sets of viscosity solutions: some applications to fronts and rendez-vous problems. SIAM J. Appl. Math., Vol. 54, N5, 1335-1354.
    • (1994) SIAM J. Appl. Math. , vol.54 , Issue.5 , pp. 1335-1354
    • Falcone, M.1    Giorgi, T.2    Loreti, P.3
  • 16
    • 0009440209 scopus 로고    scopus 로고
    • On the approximation of reachability sets of controlled systems
    • In Russian
    • Guseinov, Kh. G., A. N. Moiseev and V. N. Ushakov (1998). On the approximation of reachability sets of controlled systems. Prikl. Math. & Mech. (2), 179-186. In Russian.
    • (1998) Prikl. Math. & Mech. , Issue.2 , pp. 179-186
    • Guseinov, Kh.G.1    Moiseev, A.N.2    Ushakov, V.N.3
  • 20
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • Series D
    • Kalman, R. E. (1960), A new approach to linear filtering and prediction problems. Trans. ASME 82 (Series D), 35-45.
    • (1960) Trans. ASME , vol.82 , pp. 35-45
    • Kalman, R.E.1
  • 21
    • 85064521127 scopus 로고
    • Interpolation and extrapolation of stationary random series
    • In Russian
    • Koiraogorov, A. N. (1941). Interpolation and extrapolation of stationary random series. Izvestiya RAN. Math. Series (5), In Russian.
    • (1941) Izvestiya RAN. Math. Series , Issue.5
    • Koiraogorov, A.N.1
  • 22
    • 49749217930 scopus 로고
    • On theory of controllability and observability of linear dynamic systems
    • In Russian
    • Krasovski, N. N. (1964). On theory of controllability and observability of linear dynamic systems. Prikl. Math. & Mech. 28(1), 3-14. In Russian.
    • (1964) Prikl. Math. & Mech. , vol.28 , Issue.1 , pp. 3-14
    • Krasovski, N.N.1
  • 26
    • 49249138694 scopus 로고    scopus 로고
    • The convergence of the extended kalman filter
    • A. Rantzer and Ch. Byrnes, Eds., Springer. Berlin
    • Krener, A. J. (2003). The convergence of the extended Kalman filter, In: Directions in Mathematical Systems Theory and Optimization (A. Rantzer and Ch. Byrnes, Eds.), pp. 173-182. Springer. Berlin.
    • (2003) Directions in Mathematical Systems Theory and Optimization , pp. 173-182
    • Krener, A.J.1
  • 28
    • 84945529175 scopus 로고    scopus 로고
    • Analysis of pursuit-evasion process for moving plants under uncertain observation errors dependent on states
    • Kuntsevich, V. M. and A. V. Kuntsevich (2002). Analysis of pursuit-evasion process for moving plants under uncertain observation errors dependent on states. In: Proc. of the 15-th IFAC Congress, Barcelona.
    • (2002) Proc. of the 15-th IFAC Congress, Barcelona
    • Kuntsevich, V.M.1    Kuntsevich, A.V.2
  • 30
    • 84902483411 scopus 로고
    • On the duality of problems on optimal control and observation
    • In Russian
    • Kurzhanski, A. B., (1970). On the duality of problems on optimal control and observation. Prikl Math. & Mech. 34 (2). In Russian.
    • (1970) Prikl Math. & Mech. , vol.34 , Issue.2
    • Kurzhanski, A.B.1
  • 31
    • 12244285909 scopus 로고
    • Differential games of observation
    • In Russian
    • Kurzhanski, A. B. (1972). Differential games of observation. Dokl. AN SSSR 207(3), 527-530. In Russian.
    • (1972) Dokl. AN SSSR , vol.207 , Issue.3 , pp. 527-530
    • Kurzhanski, A.B.1
  • 33
    • 12244252319 scopus 로고    scopus 로고
    • The principle of optimality in measurement feedback control for linear systems
    • A. Rantzer and Ch. Byrnes, Eds., Springer. Berlin
    • Kurzhanski, A. B. (2003). The principle of optimality in measurement feedback control for linear systems. In: Directions in Mathematical Systems Theory and Optimization (A. Rantzer and Ch. Byrnes, Eds.), pp. 193-202. Springer. Berlin.
    • (2003) Directions in Mathematical Systems Theory and Optimization , pp. 193-202
    • Kurzhanski, A.B.1
  • 34
    • 19044373342 scopus 로고    scopus 로고
    • On the calculation of safety zones in motion planning
    • to appear
    • Kurzhanski, A. B. (2004). On the calculation of safety zones in motion planning, Optimization methods and software 19, to appear.
    • (2004) Optimization Methods and Software , vol.19
    • Kurzhanski, A.B.1
  • 35
    • 0000516166 scopus 로고
    • On the theory of trajectory tubes: A mathematical formalism for uncertain dynamics, viability and control
    • Number 17 in: PSCT. Birkhauser. Boston
    • Kurzhanski, A. B. and T. F. Filippova (1993). On the theory of trajectory tubes: a mathematical formalism for uncertain dynamics, viability and control. In: Advances in Nonlinear Dynamics and Control, pp. 122-188. Number 17 in: PSCT. Birkhauser. Boston.
    • (1993) Advances in Nonlinear Dynamics and Control , pp. 122-188
    • Kurzhanski, A.B.1    Filippova, T.F.2
  • 36
    • 85064479157 scopus 로고    scopus 로고
    • Control synthesis for state constrained and obstacle problems
    • IFAC. Elsevier Science. Stuttgart
    • Kurzhanski, A. B., I. M. Mitchell and P. Varaiya (2004). Control synthesis for state constrained and obstacle problems. In: Ptoc. NOLCOS-04. IFAC. Elsevier Science. Stuttgart.
    • (2004) Ptoc. NOLCOS-04
    • Kurzhanski, A.B.1    Mitchell, I.M.2    Varaiya, P.3
  • 37
    • 0002011929 scopus 로고
    • Evolution equations for ensembles of trajectories of synthesized control systems
    • In Russian
    • Kurzhanski, A. B. and O. I. Nikonov (1993). Evolution equations for ensembles of trajectories of synthesized control systems. Dokl. RAN 333(5), 578-581. In Russian.
    • (1993) Dokl. RAN , vol.333 , Issue.5 , pp. 578-581
    • Kurzhanski, A.B.1    Nikonov, O.I.2
  • 39
  • 43
    • 0003251448 scopus 로고
    • Optimality and reachability via feedback controls
    • A. Blaquiere and G. Leitmann, Eds.. Academic Press. Orlando
    • Leitmann, G. (1984). Optimality and reachability via feedback controls. In: Dynamical Systems and Microphysics: Control Theory and Mechanics (A. Blaquiere and G. Leitmann, Eds.). Academic Press. Orlando.
    • (1984) Dynamical Systems and Microphysics: Control Theory and Mechanics
    • Leitmann, G.1
  • 44
    • 0033100636 scopus 로고    scopus 로고
    • Controllers for reachability specifications for hybrid systems
    • Lygeros, J., C. Tomlin and S. Sastry (1999). Controllers for reachability specifications for hybrid systems, Automatica 35(3), 349-370.
    • (1999) Automatica , vol.35 , Issue.3 , pp. 349-370
    • Lygeros, J.1    Tomlin, C.2    Sastry, S.3
  • 47
    • 0003754684 scopus 로고    scopus 로고
    • Level set methods and dynamic implicit surfaces
    • Springer. N. Y
    • Osher, S. and R. Fedkiw (2003). Level Set Methods and Dynamic Implicit Surfaces. Number 153 in: AMS. Springer. N. Y.
    • (2003) AMS , Issue.153
    • Osher, S.1    Fedkiw, R.2
  • 49
    • 0007297155 scopus 로고
    • On an equation resulting from a differential inclusion
    • In Russian
    • Panasiuk, A. A. and V. I. Panasiuk (1980). On an Equation Resulting from a Differential Inclusion. Mathematical Notes (Mat. Zarnetki) 27(3), 213-218. In Russian.
    • (1980) Mathematical Notes (Mat. Zarnetki) , vol.27 , Issue.3 , pp. 213-218
    • Panasiuk, A.A.1    Panasiuk, V.I.2
  • 50
    • 9144245131 scopus 로고    scopus 로고
    • Three-dimensional reachability set for a nonlinear control system
    • Patsko, V. S., S. G. Pyatko and A. A. Fedotov (2003). Three-dimensional reachability set for a nonlinear control system. J. of Computer and Syst. Sc. Intl. 42(3), 320-328.
    • (2003) J. of Computer and Syst. Sc. Intl. , vol.42 , Issue.3 , pp. 320-328
    • Patsko, V.S.1    Pyatko, S.G.2    Fedotov, A.A.3
  • 51
    • 0018922890 scopus 로고
    • Robust identification
    • Polyak, B. T. and Ja. Z. Tsypkin (1980). Robust identification. Automatica 16(1), 53-63.
    • (1980) Automatica , vol.16 , Issue.1 , pp. 53-63
    • Polyak, B.T.1    Tsypkin, Ja.Z.2
  • 52
    • 0000058721 scopus 로고
    • Linear differential games of pursuit
    • 3 7, In Russian
    • Pontryagin, L. S. (1980). Linear differential games of pursuit. Mat. Sbornik 112 (154)(3 (7)), 307-330. In Russian.
    • (1980) Mat. Sbornik , vol.112 , Issue.154 , pp. 307-330
    • Pontryagin, L.S.1
  • 55
    • 85011906725 scopus 로고
    • Decidability of hybrid systems with rectangular differential equations
    • Number 818 in: LNCS. Springer
    • Pun, A. and P. Varaiya (1994). Decidability of hybrid systems with rectangular differential equations. In: Proceedings of the 6th workshop on Computer-aided verification. Number 818 in: LNCS. Springer, pp. 95-104.
    • (1994) Proceedings of the 6th Workshop on Computer-aided Verification , pp. 95-104
    • Pun, A.1    Varaiya, P.2
  • 56
    • 85064492154 scopus 로고    scopus 로고
    • Reachability sets for cascade control systems
    • To appear. In Russian
    • Rublev, I. V. (2004). Reachability sets for cascade control systems. Differenc. uravn. - Differential Equations. To appear. In Russian.
    • (2004) Differenc. Uravn. - Differential Equations
    • Rublev, I.V.1
  • 58
    • 0003536953 scopus 로고    scopus 로고
    • Nonlinear systems: Analysis, stability, and control
    • Springer
    • Sastry, S. (1999). Nonlinear Systems: Analysis, Stability, and Control. Number 10 in: IAM. Springer.
    • (1999) IAM , Issue.10
    • Sastry, S.1
  • 59
    • 0002913297 scopus 로고
    • Recursive state estimation: Unknown but bounded errors and system inputs
    • Schweppe, F. (1968). Recursive state estimation: unknown but bounded errors and system inputs. IEEE, Trans. Aut. Cont. 13(1), 22-28.
    • (1968) IEEE, Trans. Aut. Cont. , vol.13 , Issue.1 , pp. 22-28
    • Schweppe, F.1
  • 64
    • 70349399809 scopus 로고    scopus 로고
    • Reachability under persistent disturbances
    • In Russian
    • Varaiya, P. and A. B. Kurzhanski (2000). Reachability under persistent disturbances. Dokl. RAN 372(4), 446-450. In Russian.
    • (2000) Dokl. RAN , vol.372 , Issue.4 , pp. 446-450
    • Varaiya, P.1    Kurzhanski, A.B.2
  • 65
    • 0014464820 scopus 로고
    • Existence of saddle points in differential games
    • Varaiya, P. and J. Lin (1969). Existence of saddle points in differential games. SIAM Journal on Control an Optimization 7(1), 142-157.
    • (1969) SIAM Journal on Control an Optimization , vol.7 , Issue.1 , pp. 142-157
    • Varaiya, P.1    Lin, J.2
  • 67
    • 0000543576 scopus 로고
    • Set of possible states of linear systems given perturbed observations
    • Witsenhausen, H. (1968). Set of possible states of linear systems given perturbed observations. IEEE, Trans. Aut. Cont. 13(1), 5-21.
    • (1968) IEEE, Trans. Aut. Cont. , vol.13 , Issue.1 , pp. 5-21
    • Witsenhausen, H.1


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