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On necessary conditions of instability and design of destabilizing controls

Denis Efimov 1, 2 Wilfrid Perruquetti 1, 2, 3 Mihály Petreczky 4
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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].
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https://hal.inria.fr/hal-01066282
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Submitted on : Friday, September 19, 2014 - 2:58:56 PM
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  • HAL Id : hal-01066282, version 1

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Denis Efimov, Wilfrid Perruquetti, Mihály Petreczky. On necessary conditions of instability and design of destabilizing controls. IEEE CDC2014, Dec 2014, LA, United States. ⟨hal-01066282⟩

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