Conditions for designing a feedback control law to remove the dense set of Unstable Periodic Orbits and chaotic attractors while preserving equilibria are formulated in terms of 2-contractivity of the closed loop system, by means of the second additive compound of the system's Jacobian. Matrix inequalities to allow computing the control gain matrix are discussed. An example of application of the method to the Thomas’ system is presented.
Removing Chaos while preserving equilibria by means of 2-contraction / Angeli, David; Martini, Davide; Innocenti, Giacomo; Tesi, Alberto. - ELETTRONICO. - 58:(2024), pp. 152-157. (Intervento presentato al convegno 7th IFAC Conference on Analysis and Control of Nonlinear Dynamics and Chaos ACNDC 2024 tenutosi a London, United Kingdom nel June 5 – 7, 2024) [10.1016/j.ifacol.2024.07.078].
Removing Chaos while preserving equilibria by means of 2-contraction
Angeli, David;Martini, Davide;Innocenti, Giacomo;Tesi, Alberto
2024
Abstract
Conditions for designing a feedback control law to remove the dense set of Unstable Periodic Orbits and chaotic attractors while preserving equilibria are formulated in terms of 2-contractivity of the closed loop system, by means of the second additive compound of the system's Jacobian. Matrix inequalities to allow computing the control gain matrix are discussed. An example of application of the method to the Thomas’ system is presented.
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