On global Lyapunov characterization of multi-stable nonlinear systems

—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 invariant solutions of a nonlinear system (several equilibriums, for instance) is analyzed. Consideration of such set allows us to present global stability properties for multi-stable systems.

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Denis V. Efimov
• Keywords: CDC 2009, Control Systems, Equivalent Lyapunov Characterization, Global Stability, Global Stability Properties