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—We consider distributed parameter systems where the underlying dynamics are spatially invariant, and where the controls and measurements are spatially distributed. These systems arise in many applications such as the control of vehicular platoons, flow control, microelectromechanical systems (MEMS), smart structures, and systems described by partial(More)
We study the linearized Navier–Stokes (LNS) equations in channel flows from an input–output point of view by analysing their spatio-temporal frequency responses. Spatially distributed and temporally varying body force fields are considered as inputs, and components of the resulting velocity fields are considered as outputs into these equations. We show how(More)
We investigate energy ampliication in parallel channel ows, where background noise is modeled as stochastic excitation of the linearized Navier-Stokes equations. We show analytically that the energy of three-dimensional streamwise-constant disturbances achieves O(R 3) ampliication. Our basic technical tools are explicit analytical calculations of the traces(More)
—We consider distributed consensus and vehicular formation control problems. Specifically we address the question of whether local feedback is sufficient to maintain coherence in large-scale networks subject to stochastic disturbances. We define macroscopic performance measures which are global quantities that capture the notion of coherence; a notion of(More)
In this paper we consider the problem of distributed controller design in spatially invariant systems for which communication among sites is limited. In particular, the controller is constrained so that information is propagated with a delay that depends on the distance between sub-systems–a structure we refer to as " funnel "-causality. We show that the(More)
—We consider a distributed average consensus algorithm over a network in which communication links fail with independent probability. In such stochastic networks, convergence is defined in terms of the variance of deviation from average. We first show how the problem can be recast as a linear system with multiplicative random inputs which model link(More)
—We revisit the vehicular platoon control problems formulated by Levine and Athans and Melzer and Kuo. We show that in each case, these formulations are effectively ill-posed. Specifically , we demonstrate that in the first formulation, the system's sta-bilizability degrades as the size of the platoon increases, and that the system loses stabilizability in(More)