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Consider that a linear time-invariant (LTI) plant is given and that we wish to design a stabilizing controller for it. Admissible controllers are LTI and must comply with a pre-selected sparsity pattern. The sparsity pattern is assumed to be quadratically invariant (QI) with respect to the plant, which, from prior results, guarantees that there is a convex… (More)

— In this paper we deal with the problem of stabilizing linear, time–invariant plants using feedback control configurations that are subject to sparsity constraints. Recent results show that given a strongly stabilizable plant, the class of all stabilizing controllers that satisfy certain given sparsity constraints admits a convex representation via Zames's… (More)

— In this paper we study state–space realizations of Linear and Time–Invariant (LTI) systems. Motivated by biochemical reaction networks, Gonçalves and Warnick have recently introduced the notion of a Dynamical Structure Functions (DSF), a particular factorization of the system's transfer function matrix that elucidates the interconnection structure in… (More)

— We introduce a novel distributed control architecture for a class of nonlinear dynamical agents moving in the string formation, while guaranteeing trajectory tracking and collision avoidance. An interesting attribute of the proposed scheme is the fact that its performance is scalable with respect to the number of vehicles in the string. The scalability is… (More)

- Serban Sabau
- CDC
- 2014

— In this tutorial paper we give an up to date presentation of norm optimal controller synthesis for linear and time invariant systems under information constraints. The conventional type of constraints arises from imposing the computation of the output feedback control law to be made having access to only a specified subset of measurements. This in turn… (More)

— This paper considers the H∞ control problem for a general discrete–time system, possibly improper or polynomial. The parametrization of suboptimal H∞ output feedback controllers is presented in a realization–based setting, and it is given in terms of two descriptor Riccati equations. Moreover, the solution features the same elegant simplicity of the… (More)

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