Special issue on “Order reduction of large-scale systems”
نویسندگان
چکیده
منابع مشابه
Preface Special Issue on “ Order Reduction of Large - Scale Systems ”
Order reduction is a common theme within the simulation, control, and optimization of complex physical processes. The mathematical models used in these computations often result in large-scale systems. For example, such systems arise due to accuracy requirements on the spatial discretization of fluids or structures, in the context of lumped-circuit approximations of distributed electronic circu...
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In recent years, Krylov subspace methods have become widely-used tools for order reduction of large-scale linear dynamical systems; see [1] for a recent survey of such reduction techniques. Despite all the progress in this area, the development of algorithms that are applicable to truly large-scale systems and at the same time preserve the key structures of the large-scale system remains a chal...
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In a broad sense, large-scale systems theory is concerned with the analysis and design of often very high-dimensional systems that admit some kind of partition into smaller subsystems. Research in linear large-scale systems analysis and synthesis can be traced back to at least the 1970s. Recently, interest in this subject has been revived by new developments in nonlinear systems and control, wh...
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This benchmark suite is composed of nine examples of large-scale linear systems, ranging in dimensionality in the tens to the low thousands. The benchmarks are derived from diverse fields such as civil engineering and robotics, and are based on similar existing test sets for model-order reduction algorithms in control and numerical analysis. Each example is provided in the SpaceEx XML model for...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2006
ISSN: 0024-3795
DOI: 10.1016/j.laa.2006.01.018