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Volumn 15, Issue 1, 2002, Pages 323-328

A geometric approach to reachability computations for constrained discrete-time systems

Author keywords

Constraint satisfaction; Controllability; Invariance; Nonlinear systems; Piecewise linear; Reachability; Robust control; Uncertain dynamic systems

Indexed keywords

AUTOMATION; COMPUTATIONAL GEOMETRY; CONTROLLABILITY; DIGITAL CONTROL SYSTEMS; INVARIANCE; NONLINEAR SYSTEMS; PIECEWISE LINEAR TECHNIQUES; ROBUST CONTROL;

EID: 67949096191     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20020721-6-es-1901.01125     Document Type: Conference Paper
Times cited : (21)

References (18)
  • 2
    • 0015035154 scopus 로고
    • On the minimax reachability of target sets and target tubes
    • Bertsekas, D.P. and I.B. Rhodes (1971). On the minimax reachability of target sets and target tubes. Automatica 7, 233-247.
    • (1971) Automatica , vol.7 , pp. 233-247
    • Bertsekas, D.P.1    Rhodes, I.B.2
  • 3
    • 0028370204 scopus 로고
    • Ultimate boundedness control for uncertain discrete-time systems via set-induced lyapunov functions
    • Blanchini, F. (1994). Ultimate boundedness control for uncertain discrete-time systems via set-induced Lyapunov functions. IEEE Trans. Autom. Control 39(2), 428-433.
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.2 , pp. 428-433
    • Blanchini, F.1
  • 4
    • 1342277217 scopus 로고
    • Reachability of perturbed systems and min sup problems
    • Delfour, M.C. and S.K. Mitter (1969). Reachability of perturbed systems and min sup problems. SIAM J. Control 7(4), 521-533.
    • (1969) SIAM J. Control , vol.7 , Issue.4 , pp. 521-533
    • Delfour, M.C.1    Mitter, S.K.2
  • 5
    • 0015143913 scopus 로고
    • Control of linear dynamic systems with set constrained disturbances
    • Glover, J.D. and F.C. Schweppe (1971). Control of linear dynamic systems with set constrained disturbances. IEEE Trans. Autom. Control AC-16(5), 411-423.
    • (1971) IEEE Trans. Autom. Control , vol.AC-16 , Issue.5 , pp. 411-423
    • Glover, J.D.1    Schweppe, F.C.2
  • 6
    • 0023312711 scopus 로고
    • An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states
    • Gutman, P. and M. Cwikel (1987). An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states. IEEE Trans. Autom. Control AC-32(3), 251-254.
    • (1987) IEEE Trans. Autom. Control , vol.AC-32 , Issue.3 , pp. 251-254
    • Gutman, P.1    Cwikel, M.2
  • 8
    • 0023349531 scopus 로고
    • Computation of minimum-time feedback control laws for discrete-time systems with state-control constraints
    • Keerthi, S.S. and E.G. Gilbert (1987). Computation of minimum-time feedback control laws for discrete-time systems with state-control constraints. IEEE Trans. Autom. Control AC-32(5), 432-435.
    • (1987) IEEE Trans. Autom. Control , vol.AC-32 , Issue.5 , pp. 432-435
    • Keerthi, S.S.1    Gilbert, E.G.2
  • 9
    • 0003549927 scopus 로고    scopus 로고
    • PhD thesis. University of Cambridge, UK. Thesis and Invariant Set Toolbox for MATLAB downloadable from author's website
    • Kerrigan, E.C. (2000). Robust Constraint Satisfaction: Invariant Sets and Predictive Control. PhD thesis. University of Cambridge, UK. Thesis and Invariant Set Toolbox for MATLAB downloadable from author's website.
    • (2000) Robust Constraint Satisfaction: Invariant Sets and Predictive Control
    • Kerrigan, E.C.1
  • 10
    • 0000763845 scopus 로고    scopus 로고
    • Theory and computation of disturbance invariant sets for discrete-time linear systems
    • Kolmanovsky, I. and E.G. Gilbert (1998). Theory and computation of disturbance invariant sets for discrete-time linear systems. Math. Probl. Eng. 4, 317-367.
    • (1998) Math. Probl. Eng. , vol.4 , pp. 317-367
    • Kolmanovsky, I.1    Gilbert, E.G.2
  • 13
    • 0031332235 scopus 로고    scopus 로고
    • Robust timeoptimal control of constrained linear systems
    • Mayne, D.Q. and W.R. Schroeder (1997). Robust timeoptimal control of constrained linear systems. Automatica 33(12), 2103-2118.
    • (1997) Automatica , vol.33 , Issue.12 , pp. 2103-2118
    • Mayne, D.Q.1    Schroeder, W.R.2
  • 14
    • 0019559589 scopus 로고
    • Nonlinear regulation: The piece-wise linear approach
    • Sontag, E.D. (1981). Nonlinear regulation: The piece-wise linear approach. IEEE Trans. Autom. Control AC-26(2), 346-358.
    • (1981) IEEE Trans. Autom. Control , vol.AC-26 , Issue.2 , pp. 346-358
    • Sontag, E.D.1
  • 18
    • 0008285506 scopus 로고
    • A minimax control problem for sampled linear systems
    • Witsenhausen, H.S. (1968). A minimax control problem for sampled linear systems. IEEE Trans. Autom. Control AC-13(1), 5-21.
    • (1968) IEEE Trans. Autom. Control , vol.AC-13 , Issue.1 , pp. 5-21
    • Witsenhausen, H.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.