Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013, Special Issue (2013), Article ID 472430, 8 pages.
Switched Convergence of Second-Order Switched Homogeneous Systems
This paper studies the stabilization of second-order switched homogeneous systems. We present results that solve the problem of stabilizing a switched homogeneous system; that is, we establish necessary and sufficient conditions under which the stabilization is assured. Moreover, given an initial condition, our method determines if there exists a switching law under which the solution converges to the origin and, if there exists this switching law, how it is constructed. Finally, two numerical examples are presented in order to illustrate the results.
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 472430, 8 pages.
First available in Project Euclid: 26 February 2014
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Pérez, Carmen; Benítez, Francisco. Switched Convergence of Second-Order Switched Homogeneous Systems. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 472430, 8 pages. doi:10.1155/2013/472430. https://projecteuclid.org/euclid.aaa/1393443669