Concepedia

Contraction Analysis of Nonlinear Systems

Unknown author(s)

1999 · 1.5K citations · 12 references

Concepts

Natural SciencesMathematicsSystems EngineeringDifferential EquationsDynamical SystemsContinuous SystemsControl TheoryNonlinear DynamicsOperator TheoryContraction MappingsContraction PropertiesNonlinear StabilityNonlinear Stability AnalysisNonlinear Systems

Abstract

Analyzing stability differentially leads to a new perspective on nonlinear dynamic systems Winfried Lohmiller a a, b

References

12

<i>Tracking and Data Association</i>

Yaakov Bar‐Shalom, Thomas Fortmann, Peter G. Cable · The Journal of the Acoustical Society of America · 1990 · 3.1K citations · Full text

Computing, Mathematics, Physics +14

Hyperstability of Control Systems

V. M. Popov, M. R. Posehn · Journal of Dynamic Systems Measurement and Control · 1974 · 902 citations

Engineering, Systems Engineering, Complex Systems +10

Linear combinations of primitives in vertebrate motor control.

Ferdinando A. Mussa-Ivaldi, S.F. Giszter, Emilio Bizzi · Proceedings of the National Academy of Sciences · 1994 · 444 citations

Life Sciences, Neurobiology, Neuroscience +17

A passivity approach to controller-observer design for robots

H. Berghuis, Henk Nijmeijer · IEEE Transactions on Robotics and Automation · 1993 · 434 citations

Engineering, Mechanical Engineering, Robotics Engineering +17

Gain scheduling dynamic linear controllers for a nonlinear plant

Douglas A. Lawrence, Wilson J. Rugh · Automatica · 1995 · 235 citations · Full text

Engineering, Industrial Engineering, Optimization +13