The problem of the estimation of the domain of attraction for Impulsive Dynamical System (IDS) is tackled in this paper. IDS are a special class of hybrid systems that exhibit jumps in the state trajectory, which can be either time-driven (time-dependent IDS), or driven by specific state values (state-dependent IDS). Sufficient conditions to determine whether a polytope belongs to the domain of attraction of the zero equilibrium point are provided for both time-dependent and state-dependent IDS, when a nonlinear quadratic continuous-time dynamic is considered. The proposed results are stated in terms of Liner Matrix Inequalities problems. The effectiveness of the proposed results is shown by means of the analysis of a biological model for tumor progression.
Stability Analysis of Impulsive Nonlinear Quadratic Systems
MEROLA A
2011-01-01
Abstract
The problem of the estimation of the domain of attraction for Impulsive Dynamical System (IDS) is tackled in this paper. IDS are a special class of hybrid systems that exhibit jumps in the state trajectory, which can be either time-driven (time-dependent IDS), or driven by specific state values (state-dependent IDS). Sufficient conditions to determine whether a polytope belongs to the domain of attraction of the zero equilibrium point are provided for both time-dependent and state-dependent IDS, when a nonlinear quadratic continuous-time dynamic is considered. The proposed results are stated in terms of Liner Matrix Inequalities problems. The effectiveness of the proposed results is shown by means of the analysis of a biological model for tumor progression.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
