Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 721-734 |
| Number of pages | 14 |
| Journal | Nonlinear Analysis: Hybrid Systems |
| Volume | 2 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2008 |
Fingerprint
Cite this
}
Global input-to-state stability and stabilization of discrete-time piecewise affine systems. / Lazar, M.; Heemels, W.P.M.H.
In: Nonlinear Analysis: Hybrid Systems, Vol. 2, No. 3, 2008, p. 721-734.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Global input-to-state stability and stabilization of discrete-time piecewise affine systems
AU - Lazar, M.
AU - Heemels, W.P.M.H.
PY - 2008
Y1 - 2008
N2 - This article presents conditions for global input-to-state stability (ISS) and stabilization of discrete-time, possibly discontinuous, piecewise affine (PWA) systems. Piecewise quadratic, possibly discontinuous candidate ISS Lyapunov functions are employed for both analysis and synthesis purposes. This enables us to obtain sufficient conditions based on linear matrixinequalities, which can be solved efficiently. One of the advantages of using the ISS framework is that additive disturbance inputs are explicitly taken into account in the analysis and synthesis procedures. Furthermore, the results apply to PWA systems in their full generality, i.e. non-zero affine terms are allowed in the regions in the partition whose closure contains the origin.
AB - This article presents conditions for global input-to-state stability (ISS) and stabilization of discrete-time, possibly discontinuous, piecewise affine (PWA) systems. Piecewise quadratic, possibly discontinuous candidate ISS Lyapunov functions are employed for both analysis and synthesis purposes. This enables us to obtain sufficient conditions based on linear matrixinequalities, which can be solved efficiently. One of the advantages of using the ISS framework is that additive disturbance inputs are explicitly taken into account in the analysis and synthesis procedures. Furthermore, the results apply to PWA systems in their full generality, i.e. non-zero affine terms are allowed in the regions in the partition whose closure contains the origin.
U2 - 10.1016/j.nahs.2007.11.005
DO - 10.1016/j.nahs.2007.11.005
M3 - Article
VL - 2
SP - 721
EP - 734
JO - Nonlinear Analysis: Hybrid Systems
JF - Nonlinear Analysis: Hybrid Systems
SN - 1751-570X
IS - 3
ER -