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CDC
2008
IEEE
117views Control Systems» more  CDC 2008»
13 years 11 months ago
Simulation-aided reachability and local gain analysis for nonlinear dynamical systems
Abstract— We analyze reachability properties and local input/output gains of systems with polynomial vector fields. Upper bounds for the reachable set and nonlinear system gains...
Weehong Tan, Ufuk Topcu, Peter Seiler, Gary J. Bal...
CDC
2010
IEEE
135views Control Systems» more  CDC 2010»
13 years 1 days ago
L2 gain verification for interconnections of locally stable systems using integral quadratic constraints
The paper establishes conditions which certify a local L2 gain for interconnections of locally stable systems. The approach involves improvements to local L2 gain estimation using ...
Erin Summers, Andrew K. Packard
IJBC
2008
112views more  IJBC 2008»
13 years 5 months ago
Computation and Visualization of bifurcation Surfaces
The localization of critical parameter sets called bifurcations is often a central task of the analysis of a nonlinear dynamical system. Bifurcations of codimension 1 that can be ...
Dirk Stiefs, Thilo Gross, Ralf Steuer, Ulrike Feud...