31 search results - page 1 / 7 » On global Lyapunov characterization of multi-stable nonlinea... |
CDC
2009
IEEE
13 years 7 months ago
2009
IEEE
—A new type of global stability is introduced and its equivalent Lyapunov characterization is presented. The problem of global stability of the compact set composed by all invari...
CDC
2009
IEEE
13 years 7 months ago
2009
IEEE
— Lyapunov methods and density functions provide dual characterizations of the solutions of a nonlinear dynamic system. This work exploits the idea of combining both techniques, ...
AUTOMATICA
2006
13 years 4 months ago
2006
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentim...
CDC
2008
IEEE
13 years 11 months ago
2008
IEEE
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
CDC
2008
IEEE
13 years 11 months ago
2008
IEEE
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...