-
1
-
-
0015143913
-
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
-
2
-
-
3042559983
-
Abstraction and counterexample-guided refinement in model checking of hybrid systems
-
Clarke, E., Fehnker, A., Han, Z., Krogh, B.H., Ouaknine, J., Stursberg, O., Theobald, M.: Abstraction and counterexample-guided refinement in model checking of hybrid systems. International Journal of Foundations of Computer Science 14(4), 583-604 (2003)
-
(2003)
International Journal of Foundations of Computer Science
, vol.14
, Issue.4
, pp. 583-604
-
-
Clarke, E.1
Fehnker, A.2
Han, Z.3
Krogh, B.H.4
Ouaknine, J.5
Stursberg, O.6
Theobald, M.7
-
3
-
-
0015330733
-
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
-
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
-
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
-
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
-
7
-
-
0032050207
-
Algorithmic analysis of nonlinear hybrid systems
-
Henzinger, T.A., Ho, P.H., Wong-Toi, H.: Algorithmic analysis of nonlinear hybrid systems. IEEE Transactions on Automatic Control 43(4), 540-554 (1998)
-
(1998)
IEEE Transactions On Automatic Control
, vol.43
, Issue.4
, pp. 540-554
-
-
Henzinger, T.A.1
Ho, P.H.2
Wong-Toi, H.3
-
8
-
-
24344447320
-
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
-
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
-
11
-
-
33847362191
-
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
-
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
-
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
-
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
-
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
-
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
-
17
-
-
84974691253
-
Beyond HyTech: Hybrid systems analysis using interval numerical methods
-
Springer
-
Henzinger, T.A., Horowitz, B., Majumdar, R., Wong-Toi, H.: Beyond HyTech: Hybrid systems analysis using interval numerical methods. In: Hybrid Systems: Computation and Control, LNCS 1790, pp. 130-144. Springer (2000)
-
(2000)
Hybrid Systems: Computation and Control, LNCS 1790
, pp. 130-144
-
-
Henzinger, T.A.1
Horowitz, B.2
Majumdar, R.3
Wong-Toi, H.4
-
18
-
-
79961019703
-
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
-
19
-
-
70350005518
-
Reachability of uncertain nonlinear systems using a nonlinear hybridization
-
Springer
-
Ramdani, N., Meslem, N., Candau, Y.: Reachability of uncertain nonlinear systems using a nonlinear hybridization. In: Hybrid Systems: Computation and Control, LNCS 4981, pp. 415-428. Springer (2008)
-
(2008)
Hybrid Systems: Computation and Control, LNCS 4981
, pp. 415-428
-
-
Ramdani, N.1
Meslem, N.2
Candau, Y.3
-
21
-
-
70350621352
-
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
-
22
-
-
85077451107
-
Valencia-ivp: A comparison with other initial value problem solvers
-
IEEE Computer Society
-
Rauh, A., Auer, E., Hofer, E.P.: Valencia-ivp: A comparison with other initial value problem solvers. In: CD-Proc. of the 12th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics. IEEE Computer Society (2007)
-
(2007)
CD-Proc. of the 12th GAMM-IMACS International Symposium On Scientific Computing, Computer Arithmetic, and Validated Numerics
-
-
Rauh, A.1
Auer, E.2
Hofer, E.P.3
-
23
-
-
43049164066
-
Recent progress in continuous and hybrid reachability analysis
-
Asarin, E., Dang, T., Frehse, G., Girard, A., Le Guernic, C., Maler, O.: Recent progress in continuous and hybrid reachability analysis. In: Proc. of the 2006 IEEE Conference on Computer Aided Control Systems Design, pp. 1582-1587 (2006)
-
(2006)
Proc. of the 2006 IEEE Conference On Computer Aided Control Systems Design
, pp. 1582-1587
-
-
Asarin, E.1
Dang, T.2
Frehse, G.3
Girard, A.4
Le Guernic, C.5
Maler, O.6
-
24
-
-
27844594303
-
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
-
26
-
-
62949136903
-
Control software model checking using bisimulation functions for nonlinear systems
-
Kapinski, J., Donźe, A., Lerda, F., Maka, H., Wagner, S., Krogh, B.H.: Control software model checking using bisimulation functions for nonlinear systems. In: Proc. of the 47th IEEE Conference on Decision and Control, pp. 4024-4029 (2008)
-
(2008)
Proc. of the 47th IEEE Conference On Decision and Control
, pp. 4024-4029
-
-
Kapinski, J.1
Donźe, A.2
Lerda, F.3
Maka, H.4
Wagner, S.5
Krogh, B.H.6
-
31
-
-
0042043158
-
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
-
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
-
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
-
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
-
36
-
-
33644551846
-
Computing the cube of an interval matrix is NP-hard
-
Kosheleva, O., Kreinovich, V., Mayer, G., Nguyen, H.T.: Computing the cube of an interval matrix is NP-hard. In: Proc. of the ACM symposium on Applied computing, pp. 1449-1453 (2005)
-
(2005)
Proc. of the ACM Symposium On Applied Computing
, pp. 1449-1453
-
-
Kosheleva, O.1
Kreinovich, V.2
Mayer, G.3
Nguyen, H.T.4
-
37
-
-
34247238218
-
Maximum singular value and power of an interval matrix
-
Ahn, H.S., Chen, Y.Q., Moore, K.L.: Maximum singular value and power of an interval matrix. In: Proc. of the 2006 IEEE International Conference on Mechatronics and Automation, pp. 678-683 (2006)
-
(2006)
Proc. of the 2006 IEEE International Conference On Mechatronics and Automation
, pp. 678-683
-
-
Ahn, H.S.1
Chen, Y.Q.2
Moore, K.L.3
-
38
-
-
0001599636
-
On the complexity of computing mixed volumes
-
Dyer, M., Gritzmann, P., Hufnagel, A.: On the complexity of computing mixed volumes. SIAM Journal on Computing 27(2), 356-400 (1998)
-
(1998)
SIAM Journal On Computing
, vol.27
, Issue.2
, pp. 356-400
-
-
Dyer, M.1
Gritzmann, P.2
Hufnagel, A.3
-
39
-
-
33745782764
-
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
-
-
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
-
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
|