
arXiv: 1611.00675
System Gramian matrices are a well-known encoding for properties of input-output systems such as controllability, observability or minimality. These so-called system Gramians were developed in linear system theory for applications such as model order reduction of control systems. Empirical Gramians are an extension to the system Gramians for parametric and nonlinear systems as well as a data-driven method of computation. The empirical Gramian framework - emgr - implements the empirical Gramians in a uniform and configurable manner, with applications such as Gramian-based (nonlinear) model reduction, decentralized control, sensitivity analysis, parameter identification and combined state and parameter reduction.
decentralized control, FOS: Computer and information sciences, G.4, observability, Industrial engineering. Management engineering, reduced order systems, Systems and Control (eess.SY), T55.4-60.8, controllability, empirical gramians, parameter identification, sensitivity analysis, Optimization and Control, model reduction, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 93A15, 93B20, 93C10, Mathematical Software, QA75.5-76.95, model order reduction, Optimization and Control (math.OC), Electronic computers. Computer science, nonlinear systems, Mathematical Software (cs.MS), Systems and Control
decentralized control, FOS: Computer and information sciences, G.4, observability, Industrial engineering. Management engineering, reduced order systems, Systems and Control (eess.SY), T55.4-60.8, controllability, empirical gramians, parameter identification, sensitivity analysis, Optimization and Control, model reduction, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, 93A15, 93B20, 93C10, Mathematical Software, QA75.5-76.95, model order reduction, Optimization and Control (math.OC), Electronic computers. Computer science, nonlinear systems, Mathematical Software (cs.MS), Systems and Control
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 36 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
