## Abstract and Applied Analysis

### Switched Convergence of Second-Order Switched Homogeneous Systems

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 472430, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

https://projecteuclid.org/euclid.aaa/1393443669

Digital Object Identifier
doi:10.1155/2013/472430

Mathematical Reviews number (MathSciNet)
MR3108613

Zentralblatt MATH identifier
1296.34056

#### Citation

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

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