The problem of the estimation of the domain of attraction for Impulsive Dynamical Systems (IDSs) is tackled in this paper. IDSs are a special class of hybrid systems that exhibit jumps in the state trajectory, which can be either time-driven (time-dependent IDSs), or driven by specific state values (state-dependent IDSs). 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 Linear Matrix Inequalities problems. The effectiveness of the proposed results is shown by means of the analysis of a biological model for tumor progression. (C) 2010 Elsevier Ltd. All rights reserved.

Estimation of the domain of attraction for a class of hybrid systems

AMBROSINO, ROBERTO;
2011-01-01

Abstract

The problem of the estimation of the domain of attraction for Impulsive Dynamical Systems (IDSs) is tackled in this paper. IDSs are a special class of hybrid systems that exhibit jumps in the state trajectory, which can be either time-driven (time-dependent IDSs), or driven by specific state values (state-dependent IDSs). 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 Linear Matrix Inequalities problems. The effectiveness of the proposed results is shown by means of the analysis of a biological model for tumor progression. (C) 2010 Elsevier Ltd. All rights reserved.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11367/19465
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 13
social impact