On necessary conditions of instability and design of destabilizing controls

Efimov, Denis; Perruquetti, Wilfrid; Petreczky, Mihaly

Document type :

Communication dans un congrès avec actes

Title :

On necessary conditions of instability and design of destabilizing controls

Author(s) :

Efimov, Denis [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]

Centrale Lille
Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]
Petreczky, Mihaly [Auteur]

École des Mines de Douai [Mines Douai EMD]

Conference title :

IEEE CDC2014

City :

Country :

Etats-Unis d'Amérique

Start date of the conference :

2014-12-15

Publication date :

2014-12-15

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

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 ...
Show more >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].Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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