DocumentCode :
115253
Title :
On necessary conditions of instability and design of destabilizing controls
Author :
Efimov, D. ; Perruquetti, W. ; Petreczky, Mihaly
Author_Institution :
Non-A team @ Inria, Parc Sci. de la Haute Borne, Villeneuve d´Ascq, France
fYear :
2014
fDate :
15-17 Dec. 2014
Firstpage :
3915
Lastpage :
3917
Abstract :
The problem of formulation of an equivalent characterization for instability is considered. The necessary part of the Chetaev´s theorem on instability is formulated. Using the developed necessary instability conditions, the Anti-control Lyapunov Function (ALF) framework from [1] is extended and the Control Chetaev Function (CCF) concept is proposed as a counterpart of the Control Lyapunov function (CLF) theory. A (bounded) control is designed, which destabilizes a nonlinear system based on CCF, this control design approach can be useful either for generation of an oscillating or chaotic behavior as in [1], or for analysis of norm controllability from [2].
Keywords :
Lyapunov methods; control system synthesis; controllability; stability; ALF framework; CCF theory; CLF theory; Chetaev theorem; anticontrol Lyapunov function; control Chetaev function theory; control Lyapunov function theory; controllability; destabilizing controls; instability; Control design; Controllability; Lyapunov methods; Nonlinear systems; Stability analysis; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
Type :
conf
DOI :
10.1109/CDC.2014.7039997
Filename :
7039997
Link To Document :
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