http://control.disp.uniroma2.it/galeani/CO/materiale/automatica2000.pdf

Survey Constrained model predictive control: Stability and optimality

Linear Dynamical Systems.- Semigroups, Generators, and Resolvents.- Perturbation and Approximation of Semigroups.- Spectral Theory for Semigroups and Generators.- Asymptotics of Semigroups.- Semigroups Everywhere.- A Brief History of the Exponential Function.

https://www.springer.com/productFlyer_978-0-387-98463-6.pdf?SGWID=0-0-1297-1590487-0

One-Parameter Semigroups for Linear Evolution Equations

The description of coherent features of fluid flow is essential to our understanding of fluid-dynamical and transport processes. A method is introduced that is able to extract dynamic information from flow fields that are either generated by a (direct) numerical simulation or visualized/measured in a physical experiment. The extracted dynamic modes, which can be interpreted as a generalization of global stability modes, can be used to describe the underlying physical mechanisms captured in the data sequence or to project large-scale problems onto a dynamical system of significantly fewer degrees of freedom. The concentration on subdomains of the flow field where relevant dynamics is expected allows the dissection of a complex flow into regions of localized instability phenomena and further illustrates the flexibility of the method, as does the description of the dynamics within a spatial framework. Demonstrations of the method are presented consisting of a plane channel flow, flow over a two-dimensional cavity, wake flow behind a flexible membrane and a jet passing between two cylinders.

https://hal-polytechnique.archives-ouvertes.fr/hal-01020654/document

Dynamic mode decomposition of numerical and experimental data

1. Introduction. 2. Linear Algebra. 3. Linear Systems. 4. H2 and Ha Spaces. 5. Internal Stability. 6. Performance Specifications and Limitations. 7. Balanced Model Reduction. 8. Uncertainty and Robustness. 9. Linear Fractional Transformation. 10. m and m- Synthesis. 11. Controller Parameterization. 12. Algebraic Riccati Equations. 13. H2 Optimal Control. 14. Ha Control. 15. Controller Reduction. 16. Ha Loop Shaping. 17. Gap Metric and ...u- Gap Metric. 18. Miscellaneous Topics. Bibliography. Index.

/pdf/essentials-of-robust-control-3kaks6yk3h.pdf

Essentials of Robust Control

Time-delay systems: an overview of some recent advances and open problems

In the current study, Reduced Order Models (ROMs) targeting strategies for experimental feedback flow control are discussed. For practical reasons, such models should incorporate a range of flow operating conditions with a small number of degrees of freedom. Standard POD Galerkin models are challenged by overoptimization at one operating condition [1]. The extension of dynamic range with additional global flow stability modes is the first applied technique. Further side constraints for control-oriented ROMs are taken into account by a “least-dimensional” Galerkin approximation based on a novel technique for continuous mode interpolation [2]. This interpolation preserves the model dimension of a single state while covering several states by adjusting (interpolated) modes. The resulting three-dimensional (3D) Galerkin model is presented for the transient flow around NACA-0012 airfoil and shown to be in a good agreement with the corresponding direct numerical simulation (DNS).

/pdf/global-stability-analysis-a-key-enabler-in-reduced-order-33iw85r8b3.pdf

Global stability analysis - a key enabler in reduced order models and flow control

/pdf/distributed-dynamic-phasors-in-empirical-galerkin-models-for-44181scvi1.pdf

Distributed dynamic phasors in empirical Galerkin models for separated flows over an airfoil

A linear time varying (LTV) system perspective of a Krein space variant of the Beurling-Lax theorem is discussed, illuminating the nature of certain causal subspace families K/sub t//spl sub/L/sub 2/(t,/spl infin/), t/spl isin/R. The theorem helps identify a framework for a natural, system oriented LTV generalization of Sarason's interpolation problem, which is also solved. >

An LTV Beurling-Lax theorem and related interpolation

/pdf/vortex-model-based-control-of-turbulent-wakes-in-an-41m7tzwh0g.pdf

Vortex-model based control of turbulent wakes in an experiment

http://absimage.aps.org/image/DFD07/MWS_DFD07-2007-001088.pdf

Gilead Tadmor

Papers

Global stability analysis - a key enabler in reduced order models and flow control

Distributed dynamic phasors in empirical Galerkin models for separated flows over an airfoil

An LTV Beurling-Lax theorem and related interpolation

Vortex-model based control of turbulent wakes in an experiment

Empirical and Analytic Generalized Mean Field Model