Abstract
In this paper, the problem ofnoninteracting control with stability is studied for generalized Hamiltonian systems with reference to two relevant case studies: the control of the angular velocities of an underactuated rigid body and the control of a third order food chain. For the rigid body, under suitable conditions, noninteraction and asymptotic stability are jointly achievable by means of a static state-feedback control law; whereas, for the food chain, noninteraction and asymptotic stability of a “critical” equilibrium are jointly achievable by means of dynamic state-feedback control laws.
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