In this paper we show that certain piecewiselinear Lyapunov functions are preserved for LTI systems under Pad´ e approximations. In particular , we present a simple method to find a piecewise-linear Lyapunov function that is so preserved under the Pad´ e discretization of any order and sampling time. This result may be of interest in the discretisation of switched linear systems for both simulation and control design
Preservation of piecewise-linear Lyapunov function under Padé discretization
COLANERI, PATRIZIO;
2011-01-01
Abstract
In this paper we show that certain piecewiselinear Lyapunov functions are preserved for LTI systems under Pad´ e approximations. In particular , we present a simple method to find a piecewise-linear Lyapunov function that is so preserved under the Pad´ e discretization of any order and sampling time. This result may be of interest in the discretisation of switched linear systems for both simulation and control designFile in questo prodotto:
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