<i>L</i><sub>2</sub>-Gain Analysis of Piecewise Affine Systems via Piecewise Quadratic Storage Functions

DOI Web Site Open Access

Bibliographic Information

Other Title
  • 区分的二次な蓄積関数による区分的アフィンシステムの<i>L</i><sub>2</sub>ゲイン解析
  • L2-Gain Analysis of Piecewise Affine Systems via Piecewise Quadratic Storage Functions

Search this article

Description

The class of piecewise affine systems (PASs), which is a typical subclass of hybrid systems, is useful to describe dynamics of many kinds of real-world systems. Although the class has recently attracted much attention, there has not been enough results on analysis and control of the systems. This paper considers L2-gain analysis problem for PASs whose dynamics switch depending not only on their states but also on exogenous inputs. The class of piecewise quadratic functions is adopted to construct storage functions, and an analysis condition is given via the functions.

Journal

Keywords

Details 詳細情報について

Report a problem

Back to top