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Volumn 3, Issue , 2011, Pages 69-94

Analyzing Reachability of Linear Dynamic Systems with Parametric Uncertainties

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EID: 84860895989     PISSN: 21924732     EISSN: 21924740     Source Type: Book Series    
DOI: 10.1007/978-3-642-15956-5_4     Document Type: Article
Times cited : (19)

References (43)
  • 1
    • 0015143913 scopus 로고
    • Control of linear dynamic systems with set constrained disturbances
    • Glover, J.D., Schweppe, F.C.: Control of linear dynamic systems with set constrained disturbances. IEEE Transactions on Automatic Control 16(5), 411-423 (1971)
    • (1971) IEEE Transactions On Automatic Control , vol.16 , Issue.5 , pp. 411-423
    • Glover, J.D.1    Schweppe, F.C.2
  • 3
    • 0015330733 scopus 로고
    • Continuous-time state estimation under disturbances bounded by convex sets
    • Schlaepfer, F.M., Schweppe, F.C.: Continuous-time state estimation under disturbances bounded by convex sets. IEEE Transactions on Automatic Control 17(2), 197-205 (1972)
    • (1972) IEEE Transactions On Automatic Control , vol.17 , Issue.2 , pp. 197-205
    • Schlaepfer, F.M.1    Schweppe, F.C.2
  • 4
    • 62949169899 scopus 로고    scopus 로고
    • Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization
    • Althoff, M., Stursberg, O., Buss, M.: Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization. In: Proc. of the 47th IEEE Conference on Decision and Control, pp. 4042-4048 (2008)
    • (2008) Proc. of the 47th IEEE Conference On Decision and Control , pp. 4042-4048
    • Althoff, M.1    Stursberg, O.2    Buss, M.3
  • 5
    • 77949655805 scopus 로고    scopus 로고
    • Computing reachable sets of hybrid systems using a combination of zonotopes and polytopes
    • Althoff, M., Stursberg, O., Buss, M.: Computing reachable sets of hybrid systems using a combination of zonotopes and polytopes. Nonlinear Analysis: Hybrid Systems 4(2), 233-249 (2010)
    • (2010) Nonlinear Analysis: Hybrid Systems , vol.4 , Issue.2 , pp. 233-249
    • Althoff, M.1    Stursberg, O.2    Buss, M.3
  • 6
    • 24344447679 scopus 로고    scopus 로고
    • Verification of Digital and Hybrid Systems
    • chap. The theory of hybrid automata, Springer
    • Henzinger, T.: Verification of Digital and Hybrid Systems, NATO ASI Series F: Computer and Systems Sciences, vol. 170, chap. The theory of hybrid automata, pp. 265-292. Springer (2000)
    • (2000) NATO ASI Series F: Computer and Systems Sciences , vol.170 , pp. 265-292
    • Henzinger, T.1
  • 8
    • 24344447320 scopus 로고    scopus 로고
    • PHAVer: Algorithmic verification of hybrid systems past HyTech
    • Springer
    • Frehse, G.: PHAVer: Algorithmic verification of hybrid systems past HyTech. In: Hybrid Systems: Computation and Control, LNCS 3413, pp. 258-273. Springer (2005)
    • (2005) Hybrid Systems: Computation and Control, LNCS 3413 , pp. 258-273
    • Frehse, G.1
  • 9
    • 0035193272 scopus 로고    scopus 로고
    • Symbolic reachability computation for families of linear vector fields
    • Lafferriere, G., Pappas, G.J., Yovine, S.: Symbolic reachability computation for families of linear vector fields. Symbolic Computation 32, 231-253 (2001)
    • (2001) Symbolic Computation , vol.32 , pp. 231-253
    • Lafferriere, G.1    Pappas, G.J.2    Yovine, S.3
  • 10
    • 0037250532 scopus 로고    scopus 로고
    • Computational techniques for hybrid system verification
    • Chutinan, A., Krogh, B.H.: Computational techniques for hybrid system verification. IEEE Transactions on Automatic Control 48(1), 64-75 (2003)
    • (2003) IEEE Transactions On Automatic Control , vol.48 , Issue.1 , pp. 64-75
    • Chutinan, A.1    Krogh, B.H.2
  • 11
    • 33847362191 scopus 로고    scopus 로고
    • Ellipsoidal techniques for reachability analysis of discretetime linear systems
    • Kurzhanskiy, A.B., Varaiya, P.: Ellipsoidal techniques for reachability analysis of discretetime linear systems. IEEE Transactions on Automatic Control 52(1), 26-38 (2007)
    • (2007) IEEE Transactions On Automatic Control , vol.52 , Issue.1 , pp. 26-38
    • Kurzhanskiy, A.B.1    Varaiya, P.2
  • 12
    • 35248883424 scopus 로고    scopus 로고
    • Efficient representation and computation of reachable sets for hybrid systems
    • Springer
    • Stursberg, O., Krogh, B.H.: Efficient representation and computation of reachable sets for hybrid systems. In: Hybrid Systems: Computation and Control, LNCS 2623, pp. 482-497. Springer (2003)
    • (2003) Hybrid Systems: Computation and Control, LNCS 2623 , pp. 482-497
    • Stursberg, O.1    Krogh, B.H.2
  • 13
    • 1842855901 scopus 로고    scopus 로고
    • Rigorously computed orbits of dynamical systems without the wrapping effect
    • Kühn, W.: Rigorously computed orbits of dynamical systems without the wrapping effect. Computing 61, 47-67 (1998)
    • (1998) Computing , vol.61 , pp. 47-67
    • Kühn, W.1
  • 14
    • 24344472268 scopus 로고    scopus 로고
    • Reachability of uncertain linear systems using zonotopes
    • Springer
    • Girard, A.: Reachability of uncertain linear systems using zonotopes. In: Hybrid Systems: Computation and Control, LNCS 3414, pp. 291-305. Springer (2005)
    • (2005) Hybrid Systems: Computation and Control, LNCS 3414 , pp. 291-305
    • Girard, A.1
  • 15
    • 8744255103 scopus 로고    scopus 로고
    • Computational techniques for the verification and control of hybrid systems
    • Tomlin, C., Mitchell, I., Bayen, A., Oishi, M.: Computational techniques for the verification and control of hybrid systems. Proceedings of the IEEE 91(7), 986-1001 (2003)
    • (2003) Proceedings of the IEEE , vol.91 , Issue.7 , pp. 986-1001
    • Tomlin, C.1    Mitchell, I.2    Bayen, A.3    Oishi, M.4
  • 16
    • 79961020334 scopus 로고    scopus 로고
    • Efficient reachability analysis for linear systems using support functions
    • Girard, A., Guernic, C.L.: Efficient reachability analysis for linear systems using support functions. In: Proc. of the 17th IFAC World Congress, pp. 8966-8971 (2008)
    • (2008) Proc. of the 17th IFAC World Congress , pp. 8966-8971
    • Girard, A.1    Guernic, C.L.2
  • 18
    • 79961019703 scopus 로고    scopus 로고
    • Reachability analysis of uncertain nonlinear systems using guaranteed set integration
    • Ramdani, N., Meslem, N., Candau, Y.: Reachability analysis of uncertain nonlinear systems using guaranteed set integration. In: Proc. of the 17th IFAC World Congress, pp. 8972-8977 (2008)
    • (2008) Proc. of the 17th IFAC World Congress , pp. 8972-8977
    • Ramdani, N.1    Meslem, N.2    Candau, Y.3
  • 21
    • 70350621352 scopus 로고    scopus 로고
    • Interval methods as a simulation tool for the dynamics of biological wastewater treatment processes with parameter uncertainties
    • Krasnochtanova, I., Rauh, A., Kletting, M., Aschemann, H., Hofer, E.P., Schoop, K.M.: Interval methods as a simulation tool for the dynamics of biological wastewater treatment processes with parameter uncertainties. Applied Mathematical Modeling 34(3), 744-762 (2010)
    • (2010) Applied Mathematical Modeling , vol.34 , Issue.3 , pp. 744-762
    • Krasnochtanova, I.1    Rauh, A.2    Kletting, M.3    Aschemann, H.4    Hofer, E.P.5    Schoop, K.M.6
  • 24
    • 27844594303 scopus 로고    scopus 로고
    • Barrier certificates for nonlinear model validation
    • Prajna, S.: Barrier certificates for nonlinear model validation. Automatica 42(1), 117-126 (2006)
    • (2006) Automatica , vol.42 , Issue.1 , pp. 117-126
    • Prajna, S.1
  • 31
    • 0042043158 scopus 로고    scopus 로고
    • Fast and parallel interval arithmetic
    • Rump, S.M.: Fast and parallel interval arithmetic. BIT Numerical Mathematics 39(3), 534-554 (1999)
    • (1999) BIT Numerical Mathematics , vol.39 , Issue.3 , pp. 534-554
    • Rump, S.M.1
  • 32
    • 0037354371 scopus 로고    scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix, twentyfive years later
    • Moler, C., Loan, C.V.: Nineteen dubious ways to compute the exponential of a matrix, twentyfive years later. SIAM Review 45(1), 3-49 (2003)
    • (2003) SIAM Review , vol.45 , Issue.1 , pp. 3-49
    • Moler, C.1    Loan, C.V.2
  • 33
    • 0002466279 scopus 로고    scopus 로고
    • Computing exact bounds on elements of an inverse interval matrix is NP-hard
    • Coxson, G.E.: Computing exact bounds on elements of an inverse interval matrix is NP-hard. Reliable Computing 5(2), 137-142 (1999)
    • (1999) Reliable Computing , vol.5 , Issue.2 , pp. 137-142
    • Coxson, G.E.1
  • 34
    • 29044440798 scopus 로고    scopus 로고
    • Outer interval solution of the eigenvalue problem under general form parametric dependencies
    • Kolev, L.V.: Outer interval solution of the eigenvalue problem under general form parametric dependencies. Reliable Computing 12(2), 121-140 (2006)
    • (2006) Reliable Computing , vol.12 , Issue.2 , pp. 121-140
    • Kolev, L.V.1
  • 39
    • 33745782764 scopus 로고    scopus 로고
    • Efficient computation of reachable sets of linear timeinvariant systems with inputs
    • Springer
    • Girard, A., Guernic, C.L., Maler, O.: Efficient computation of reachable sets of linear timeinvariant systems with inputs. In: Hybrid Systems: Computation and Control, LNCS 3927, pp. 257-271. Springer (2006)
    • (2006) Hybrid Systems: Computation and Control, LNCS 3927 , pp. 257-271
    • Girard, A.1    Guernic, C.L.2    Maler, O.3
  • 42
    • 0002342184 scopus 로고    scopus 로고
    • INTLAB - INTerval LABoratory, Kluwer Academic Publishers
    • Rump, S.M.: Developments in Reliable Computing, chap. INTLAB - INTerval LABoratory, pp. 77-104. Kluwer Academic Publishers (1999)
    • (1999) Developments In Reliable Computing, Chap , pp. 77-104
    • Rump, S.M.1
  • 43
    • 43949162437 scopus 로고
    • A limiting property for the powers of a non-negative, reducible matrix
    • Dietzenbacher, E.: A limiting property for the powers of a non-negative, reducible matrix. Structural Change and Economic Dynamics 4, 353-366 (1993)
    • (1993) Structural Change and Economic Dynamics , vol.4 , pp. 353-366
    • Dietzenbacher, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.