-
2
-
-
0034171635
-
Further equivalences and semiglobal versions of integral input to state stability
-
Angeli D., Sontag E.D., and Wang Y. Further equivalences and semiglobal versions of integral input to state stability. Dynamics and Control 10 2 (2000) 127-149
-
(2000)
Dynamics and Control
, vol.10
, Issue.2
, pp. 127-149
-
-
Angeli, D.1
Sontag, E.D.2
Wang, Y.3
-
4
-
-
0036928540
-
A unifying integral ISS framework for stability of nonlinear cascades
-
Arcak M., Angeli D., and Sontag E. A unifying integral ISS framework for stability of nonlinear cascades. SIAM Journal on Control and Optimization 40 6 (2002) 1888-1904
-
(2002)
SIAM Journal on Control and Optimization
, vol.40
, Issue.6
, pp. 1888-1904
-
-
Arcak, M.1
Angeli, D.2
Sontag, E.3
-
7
-
-
43549122575
-
Integral input to state stable systems in cascade
-
Chaillet A., and Angeli D. Integral input to state stable systems in cascade. Systems & Control Letters 57 7 (2008) 519-527
-
(2008)
Systems & Control Letters
, vol.57
, Issue.7
, pp. 519-527
-
-
Chaillet, A.1
Angeli, D.2
-
8
-
-
84955190508
-
On a small gain theorem for ISS networks in dissipative Lyapunov form
-
Budapest, Hungary pp
-
Dashkovskiy, S.N., Ito, H., & Wirth, F. R. (2009). On a small gain theorem for ISS networks in dissipative Lyapunov form. In Proc. European Contr. Conf., ECC2009. Budapest, Hungary (pp. 1077-1082).
-
(2009)
Proc. European Contr. Conf., ECC2009
, pp. 1077-1082
-
-
Dashkovskiy, S.N.1
Ito, H.2
Wirth, F.R.3
-
9
-
-
34249057145
-
An ISS small-gain theorem for general networks
-
Dashkovskiy S.N., Rüffer B.S., and Wirth F.R. An ISS small-gain theorem for general networks. Mathematics of Control, Signals, and Systems 19 2 (2007) 93-122
-
(2007)
Mathematics of Control, Signals, and Systems
, vol.19
, Issue.2
, pp. 93-122
-
-
Dashkovskiy, S.N.1
Rüffer, B.S.2
Wirth, F.R.3
-
10
-
-
77957358333
-
-
Dashkovskiy, S. N., Rüffer, B. S., & Wirth, F. R. (2009b). Small gain theorems for large scale systems and construction of ISS Lyapunov functions. In SIAM Journal on Control and Optimization (in press). Provisionally (accepted) September 3, 2009. http://arxiv.org/abs/0901.1842.
-
Dashkovskiy, S. N., Rüffer, B. S., & Wirth, F. R. (2009b). Small gain theorems for large scale systems and construction of ISS Lyapunov functions. In SIAM Journal on Control and Optimization (in press). Provisionally (accepted) September 3, 2009. http://arxiv.org/abs/0901.1842.
-
-
-
-
11
-
-
0003321315
-
Asymptotic behavior of dynamical and control systems under perturbation and discretization
-
Springer, Berlin
-
Grüne L. Asymptotic behavior of dynamical and control systems under perturbation and discretization. Lecture notes in mathematics Vol. 1783 (2002), Springer, Berlin
-
(2002)
Lecture notes in mathematics
, vol.1783
-
-
Grüne, L.1
-
12
-
-
0036742738
-
Input-to-state dynamical stability and its Lyapunov function characterization
-
Grüne L. Input-to-state dynamical stability and its Lyapunov function characterization. IEEE Transactions on Automatic Control 47 9 (2002) 1499-1504
-
(2002)
IEEE Transactions on Automatic Control
, vol.47
, Issue.9
, pp. 1499-1504
-
-
Grüne, L.1
-
15
-
-
33750125424
-
State-dependent scaling problems and stability of interconnected iISS and ISS systems
-
Ito H. State-dependent scaling problems and stability of interconnected iISS and ISS systems. IEEE Transactions on Automatic Control 51 10 (2006) 1626-1643
-
(2006)
IEEE Transactions on Automatic Control
, vol.51
, Issue.10
, pp. 1626-1643
-
-
Ito, H.1
-
16
-
-
85128566305
-
-
Ito, H. (2008). A Lyapunov approach to integral input-to-state stability of cascaded systems with external signals. In Proc. 47th IEEE conf. decis. control. Cancun, Mexico (pp. 628-633), December 9-11, 2008.
-
Ito, H. (2008). A Lyapunov approach to integral input-to-state stability of cascaded systems with external signals. In Proc. 47th IEEE conf. decis. control. Cancun, Mexico (pp. 628-633), December 9-11, 2008.
-
-
-
-
17
-
-
0000574179
-
Ein Beweis des Fixpunktsatzes für n-dimensionale Simplexe
-
Knaster B., Kuratowski C., and Mazurkiewicz S. Ein Beweis des Fixpunktsatzes für n-dimensionale Simplexe. Fundamenta 14 (1929) 132-137
-
(1929)
Fundamenta
, vol.14
, pp. 132-137
-
-
Knaster, B.1
Kuratowski, C.2
Mazurkiewicz, S.3
-
19
-
-
0003410406
-
-
Academic Press, New York
-
Lakshmikantham V., and Leela S. Differential and integral inequalities: theory and applications. Vol. II: functional, partial, abstract, and complex differential equations (1969), Academic Press, New York
-
(1969)
Differential and integral inequalities: theory and applications. Vol. II: functional, partial, abstract, and complex differential equations
-
-
Lakshmikantham, V.1
Leela, S.2
-
20
-
-
33750835760
-
Vector Lyapunov functions and stability analysis of nonlinear systems
-
Kluwer Academic Publishers Group, Dordrecht
-
Lakshmikantham V., Matrosov V.M., and Sivasundaram S. Vector Lyapunov functions and stability analysis of nonlinear systems. Mathematics and its applications Vol. 63 (1991), Kluwer Academic Publishers Group, Dordrecht
-
(1991)
Mathematics and its applications
, vol.63
-
-
Lakshmikantham, V.1
Matrosov, V.M.2
Sivasundaram, S.3
-
23
-
-
84963883028
-
-
Birkhäuser Boston Inc, Boston, MA
-
Michel A.N., Hou L., and Liu D. Stability of dynamical systems. Systems & control: foundations & applications (2008), Birkhäuser Boston Inc, Boston, MA
-
(2008)
Systems & control: foundations & applications
-
-
Michel, A.N.1
Hou, L.2
Liu, D.3
-
24
-
-
77953476491
-
Monotone inequalities, dynamical systems, and paths in the positive orthant of Euclidean n-space
-
in press doi:10.1007/s11117-009-0016-5
-
Rüffer, B.S. (2009). Monotone inequalities, dynamical systems, and paths in the positive orthant of Euclidean n-space. Positivity. in press (doi:10.1007/s11117-009-0016-5).
-
(2009)
Positivity
-
-
Rüffer, B.S.1
-
25
-
-
0003270907
-
Monotone dynamical systems
-
American Mathematical Society, Providence, RI
-
Smith H.L. Monotone dynamical systems. Mathematical surveys and monographs Vol. 41 (1995), American Mathematical Society, Providence, RI
-
(1995)
Mathematical surveys and monographs
, vol.41
-
-
Smith, H.L.1
-
26
-
-
0348241184
-
Comments on integral variants of ISS
-
Sontag E.D. Comments on integral variants of ISS. Systems & Control Letters 34 1-2 (1998) 93-100
-
(1998)
Systems & Control Letters
, vol.34
, Issue.1-2
, pp. 93-100
-
-
Sontag, E.D.1
-
27
-
-
0000454435
-
The ISS philosophy as a unifying framework for stability-like behavior
-
Nonlinear control in the year 2000, vol. 2 (Paris), Springer, London
-
Sontag E.D. The ISS philosophy as a unifying framework for stability-like behavior. Nonlinear control in the year 2000, vol. 2 (Paris). Lecture notes in control and inform. sci. Vol. 259 (2001), Springer, London 443-467
-
(2001)
Lecture notes in control and inform. sci.
, vol.259
, pp. 443-467
-
-
Sontag, E.D.1
-
28
-
-
0037534020
-
An example of a GAS system which can be destabilized by an integrable perturbation
-
Sontag E.D., and Krichman M. An example of a GAS system which can be destabilized by an integrable perturbation. IEEE Transactions on Automatic Control 48 6 (2003) 1046-1049
-
(2003)
IEEE Transactions on Automatic Control
, vol.48
, Issue.6
, pp. 1046-1049
-
-
Sontag, E.D.1
Krichman, M.2
-
29
-
-
0029358183
-
Changing supply functions in input/state stable systems
-
Sontag E.D., and Teel A. Changing supply functions in input/state stable systems. IEEE Transactions on Automatic Control 40 8 (1995) 1476-1478
-
(1995)
IEEE Transactions on Automatic Control
, vol.40
, Issue.8
, pp. 1476-1478
-
-
Sontag, E.D.1
Teel, A.2
-
30
-
-
0029288045
-
On characterizations of the input-to-state stability property
-
Sontag E.D., and Wang Y. On characterizations of the input-to-state stability property. Systems & Control Letters 24 5 (1995) 351-359
-
(1995)
Systems & Control Letters
, vol.24
, Issue.5
, pp. 351-359
-
-
Sontag, E.D.1
Wang, Y.2
-
31
-
-
0030244538
-
New characterizations of input-to-state stability
-
Sontag E.D., and Wang Y. New characterizations of input-to-state stability. IEEE Transactions on Automatic Control 41 9 (1996) 1283-1294
-
(1996)
IEEE Transactions on Automatic Control
, vol.41
, Issue.9
, pp. 1283-1294
-
-
Sontag, E.D.1
Wang, Y.2
-
32
-
-
0034426073
-
A smooth Lyapunov function from a class-K L estimate involving two positive semidefinite functions
-
Teel A.R., and Praly L. A smooth Lyapunov function from a class-K L estimate involving two positive semidefinite functions. ESAIM: Control, Optimisation and Calculus of Variations 5 (2000) 313-367
-
(2000)
ESAIM: Control, Optimisation and Calculus of Variations
, vol.5
, pp. 313-367
-
-
Teel, A.R.1
Praly, L.2
|