Gilead Tadmor

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H∞ preview control and fixed-lag smoothing problems are solved in general discrete time linear systems, via a reduction to equivalent open loop differential games. To prevent high order Riccati equations, found in some solutions, the state of the Hamilton-Jacobi system (HJS) resides in a quotient space of an auxiliary extended state space system. The(More)
Preview control and fixed-lag smoothing allow a non-causal component in the controller/estimator. Time domain variational analysis is used in a reduction to an open loop differential game, leading to a complete, necessary and sufficient characterization of suboptimal values and an explicit state space design, in terms of a parameterized (non-standard)(More)
We introduce two wavefront-based methods for the inverse problem of electrocardiography, which we term wavefront-based curve reconstruction (WBCR) and wavefront-based potential reconstruction (WBPR). In the WBCR approach, the epicardial activation wavefront is modeled as a curve evolving on the heart surface, with the evolution governed by factors derived(More)
We introduce an algorithm based on a method of snapshots for computing approximate balanced truncations for discrete-time, stable, linear time-periodic systems. By construction, this algorithm is applicable to very high-dimensional systems, even with very high-dimensional outputs (or, alternatively, very highdimensional inputs). An example is shown to(More)
Digital Particle Image Velocimetry (PIV) is well established as a fluid dynamics measurement tool, being capable of non-intrusively and concurrently measuring a distributed velocity filed. Yet the intensive computational requirements of PIV limit its usage almost exclusively to off-line processing, analysis and modelling. This paper proposes hardware(More)
When an airfoil is pitched up rapidly, a dynamic stall vortex forms at the leading edge and produces high transient lift before shedding and stall occur. The aim of this work is to develop low-dimensional models of the dynamics of these leading-edge vortices, which may be used to develop feedback laws to stabilize these vortices using closed-loop control,(More)