Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblKeywords: time scale; dynamic equation; exponential function; controllability; reachability; observability; duality principle; time invariance
Bohner, Martin; Wintz, Nick. Controllability and observability of time-invariant linear dynamic systems. Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 149-163. doi: 10.21136/MB.2012.142861
@article{10_21136_MB_2012_142861,
author = {Bohner, Martin and Wintz, Nick},
title = {Controllability and observability of time-invariant linear dynamic systems},
journal = {Mathematica Bohemica},
pages = {149--163},
year = {2012},
volume = {137},
number = {2},
doi = {10.21136/MB.2012.142861},
mrnumber = {2978261},
zbl = {1265.34334},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142861/}
}
TY - JOUR AU - Bohner, Martin AU - Wintz, Nick TI - Controllability and observability of time-invariant linear dynamic systems JO - Mathematica Bohemica PY - 2012 SP - 149 EP - 163 VL - 137 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142861/ DO - 10.21136/MB.2012.142861 LA - en ID - 10_21136_MB_2012_142861 ER -
%0 Journal Article %A Bohner, Martin %A Wintz, Nick %T Controllability and observability of time-invariant linear dynamic systems %J Mathematica Bohemica %D 2012 %P 149-163 %V 137 %N 2 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2012.142861/ %R 10.21136/MB.2012.142861 %G en %F 10_21136_MB_2012_142861
[1] Aulbach, B., Hilger, S.: A unified approach to continuous and discrete dynamics. Colloq. Math. Soc. János Bolyai. 53 (1990), 37-56. | MR | Zbl
[2] Bartosiewicz, Z., Pawłuszewicz, E.: Linear control systems on time scales: unification of continuous and discrete. Proc. of 10th IEEE Int. Conference MMAR. (2004), 263-266. | MR
[3] Bartosiewicz, Z., Pawłuszewicz, E.: Realizations of linear control systems on time scales. Control Cybernet. 35 (2006), 769-786. | MR | Zbl
[4] Bohner, M., Peterson, A.: Dynamic Equations on Time Scales. Birkhäuser, Basel (2001). | MR | Zbl
[5] Bohner, M., Peterson, A., eds.: Advances in Dynamic Equations on Time Scales. Birkhäuser, Boston, MA (2003). | MR | Zbl
[6] DaCunha, J.: Transition matrix and generalized matrix exponential via the Peano-{B}aker series. J. Difference Equ. Appl. 11 (2005), 1245-1264. | DOI | MR | Zbl
[7] Davis, J. M., Gravagne, I. A., Jackson, B. J., II, R. J. Marks: Controllability, observability, realizability, and stability of dynamic linear systems. Electron. J. Diff. Equ. 37 (2009), 1-32. | MR
[8] Fausett, L. V., Murty, K. N.: Controllability, observability and realizability criteria on time scale dynamical systems. Nonlinear Stud. 11 (2004), 627-638. | MR
[9] Hilscher, R., Zeidan, V.: Weak maximum principle and accessory problem for control problems on time scales. Nonlinear Anal. 70 (2009), 3209-3226. | MR | Zbl
[10] Kalman, R. E.: Contributions to the theory of optimal control. Bol. Soc. Mat. Mexicana. 2 (1960), 102-119. | MR | Zbl
[11] Kalman, R. E.: On the general theory of control systems. Proc. 1st IFAC Congress Automatic Control. 1 (1960), 481-492.
[12] Kalman, R. E.: Mathematical description of linear dynamical systems. J. SIAM Control Ser. A Control. 1 (1963), 152-192. | MR | Zbl
[13] Kalman, R. E., Ho, Y. C., Narendra, K. S.: Controllability of linear dynamical systems. Contrib. Differ. Equ. 1 (1963), 189-213. | MR | Zbl
[14] Molnar, S., Szigeti, F.: Controllability and reachability of dynamic discrete-time linear systems. Proceedings of the 4th International Conference on Control and Automation (2003), 350-354. | MR
[15] Wintz, N.: The Kalman filter on time scales. PhD Thesis, Missouri University of Science and Technology, Rolla, Missouri, USA (2009). | MR
[16] Zafer, A.: The matrix exponential on time scales. ANZIAM J. 48 (2006), 99-106. | DOI | MR
Cité par Sources :