標題: On Existence of Stabilizing Switching Laws within a Class of Unstable Linear Systems
作者: Xu, Sendren Sheng-Dong
Chen, Chih-Chiang
電控工程研究所
Institute of Electrical and Control Engineering
公開日期: 2013
摘要: The equivalence of two conditions, condition (3) and condition (4) stated in Problem Statement section, regarding the existence of stabilizing switching laws between two unstable linear systems first appeared in (Feron 1996). Although Feron never published this result, it has been referenced in almost every survey on switched systems; see, for example, (Liberzon and Morse 1999). This paper proposes another way to prove the equivalence of two conditions regarding the existence of stabilizing switching laws between two unstable linear systems. One is effective for theoretical derivation, while the other is implementable, and a class of stabilizing switching laws have been explicitly constructed by Wicks et al. (1994). With the help of the equivalent relation, a condition for the existence of controllers and stabilizing switching laws between two unstabilizable linear control systems is then proposed. Then, the study is further extended to the issue concerning the construction of quadratically stabilizing switching laws among.. unstable linear systems and.. unstabilizable linear control systems. The obtained results are employed to study the existence of control laws and quadratically stabilizing switching laws within a class of unstabilizable linear control systems. The numerical examples are illustrated and simulated to show the feasibility and effectiveness of the proposed methods.
URI: http://hdl.handle.net/11536/23174
http://dx.doi.org/10.1155/2013/681523
ISSN: 1085-3375
DOI: 10.1155/2013/681523
期刊: ABSTRACT AND APPLIED ANALYSIS
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