Piecewise-affine Lyapunov functions for discrete-time linear systems with saturating controls (Q1858359)
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scientific article; zbMATH DE number 1868213
| Language | Label | Description | Also known as |
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| English | Piecewise-affine Lyapunov functions for discrete-time linear systems with saturating controls |
scientific article; zbMATH DE number 1868213 |
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Piecewise-affine Lyapunov functions for discrete-time linear systems with saturating controls (English)
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13 February 2003
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This paper deals with piecewise-affine (PWA) functions as Lyapunov function candidates for the stability analysis of time-invariant discrete-time linear systems with saturating closed-loop control inputs. Using a PWA model for a saturating closed-loop system, new necessary and sufficient conditions for a PWA function to be a Lyapunov function are presented. Based on a linear programming formulation of these conditions, an effective algorithm is proposed for the construction of such Lyapunov functions and for estimation of the region of local asymptotic stability.
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discrete-time systems
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actuator saturation
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Lyapunov functions
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stability regions
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linear programming
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piecewise-affine functions
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