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The Integral Input to State Stability (iISS) property is studied is the context of non-linear time-invariant systems in cascade. Some sufficient conditions for the preservation of the iISS property under a cascade interconnection are presented. Those are first given as growth restrictions on the supply functions of the storage function associated to each(More)
— In this paper, we consider the problem of stabilizing sufficiently smooth nonlinear time-invariant plants over a network whereby feedback is closed through a limited-bandwidth digital channel. Reliable packet switching networks are explicitly considered, for which both the time between consecutive accesses to each node (MATI) and the delay by which each(More)
Consider the controlled system dx/dt = Ax + α(t)Bu where the pair (A, B) is stabilizable and α(t) takes values in [0, 1] and is persistently exciting, i.e., there exist two positive constants µ, T such that, for every t ≥ 0, R t+T t α(s)ds ≥ µ. In particular, when α(t) becomes zero the system dynamics switches to an uncontrollable system. In this paper, we(More)
We address the following question: given a double integrator and a linear control that stabilizes it exponentially, is it possible to use the same control input in the case that the control input is multiplied by a time-varying term? Such question has many interesting motivations and generalizations: 1) we can pose the same problem for an input gain that(More)
— In this paper we analyze the robustness of phase-locking in the Kuramoto system with arbitrary bidirectional interconnection topology. We show that the effects of time-varying natural frequencies encompass the heterogeneity in the ensemble of oscillators, the presence of exogenous disturbances, and the influence of unmodeled dynamics. The analysis, based(More)
— Consider the controlled system dx/dt = Ax + α(t)Bu where (A, B) is stabilizable and α(t) takes values in [0, 1] and is persistently exciting. In particular, when α(t) becomes zero the system dynamics switches to an uncontrollable system. In this paper, we address the following question: is it possible to find a linear time-invariant state-feedback, only(More)
— This note introduces two notions of desynchro-nization for interconnected phase oscillators by requiring that phases drift away from one another either at all times or in average. It provides a characterization of each of these two notions based on the grounded variable associated to the system, and relates them to a classical notion of instability valid(More)
In this paper we present a solution to the problem of tracking relative rotation in a leader-follower spacecraft formation using feedback from relative attitude only. The controller incorporates a linear approximation filter to achieve knowledge of angular velocity, and the controller structure renders the equilibrium points of the closed-loop system(More)