Stabilization of Dynamic Systems by Localization of Eigenvalues in a Specified Interval
H. Ahsani Tehrani
- Department of Mathematics, Shahrood University of Technology, Shahrood, Iran.
This paper is concerned with the problem of designing linear time-invariant control systems with closed-loop eigenvalues in a prescribed region of stability. First, we obtain a state feedback matrix which assigns all the eigenvalues to zero, and then by elementary similarity operations we find a state feedback which assigns the eigenvalues in the interval shown in figure 1.
This new algorithm can also be used for the placement of closed-loop eigenvalues in a specified interval in z-plane and can be employed for large-scale linear time-invariant control systems. Some illustrative examples are presented to show the advantages of this new technique.
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H. Ahsani Tehrani, Stabilization of Dynamic Systems by Localization of Eigenvalues in a Specified Interval, Journal of Mathematics and Computer Science, 7 (2013), no. 2, 144 - 153
Tehrani H. Ahsani, Stabilization of Dynamic Systems by Localization of Eigenvalues in a Specified Interval. J Math Comput SCI-JM. (2013); 7(2):144 - 153
Tehrani, H. Ahsani. "Stabilization of Dynamic Systems by Localization of Eigenvalues in a Specified Interval." Journal of Mathematics and Computer Science, 7, no. 2 (2013): 144 - 153
- linear time-invariant systems
- State feedback matrix
- Localization of eigenvalues
- Large-scale systems
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