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On Optimality of Local Control of Chaos

: Richter, H.


International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 (2001), No.3, pp.871-879
ISSN: 0218-1274
Journal Article
Fraunhofer IPA ()
Chaos; SSRC; Kosten-Controlling; Chaoskontrolle; Optimierung

Local control stabilizes chaotic motions by applying a state feedback only within a possible strongly bounded state space region of control (SSRC). In this paper, we consider the question of when a local control is optimal. Therefore, a cost function is employed that accounts for two components: time and control force needed until stabilization occurs. We present analytical and numerical results on the dependency of the cost on the size of the SSRC and a weighting constant between the two components of the cost function.