Nonlinear switched singular systems in discrete time: The one-step map and stability under arbitrary switching signals

Sutrisno, -; Trenn, Stephan

doi:10.1016/j.ejcon.2023.100852

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Cited by 6 publications

References 14 publications

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Reachable Set Estimation for Singular Discrete‐Time Nonlinear Systems With Time‐Varying Delays

2024

Intl J Robust & Nonlinear

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In this article, the reachable set estimation problems for a class of singular discrete‐time nonlinear systems (SDNS) with time‐varying delay (TVD) are presented. First, we employ a Lyapunov function scheme and utilize zero‐type free matrix equations. Based on this, a criterion is derived in the form of linear matrix inequalities (LMIs) to guarantee that the considered system to be regular, causal, and the state trajectory of the system is bounded. Second, by developing the singular systems decomposition technique into slow and fast subsystems and using the introduced auxiliary lemma, we establish that the state trajectory of the fast subsystem is also bounded, and the reachable set of singular nonlinear system is bounded within the ellipsoid. Finally, Numerical examples are presented to illustrate the effectiveness of the proposed method.

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Reachable Set Estimation for Singular Discrete‐Time Nonlinear Systems With Time‐Varying Delays

2024

Intl J Robust & Nonlinear

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Exponential admissibility and H∞ control for nonlinear singular discrete systems with mixed time-varying delays

2025

Communications in Nonlinear Science and Numerical Simulation

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Disturbance rejection for switched singular systems using state decomposition technique and equivalent-input-disturbance with a dynamic state observer

Gao,

Chen,

Zhi

2024

European Journal of Control

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Nonlinear switched singular systems in discrete time: The one-step map and stability under arbitrary switching signals

Cited by 6 publications

References 14 publications

Reachable Set Estimation for Singular Discrete‐Time Nonlinear Systems With Time‐Varying Delays

Reachable Set Estimation for Singular Discrete‐Time Nonlinear Systems With Time‐Varying Delays

Exponential admissibility and H∞ control for nonlinear singular discrete systems with mixed time-varying delays

Disturbance rejection for switched singular systems using state decomposition technique and equivalent-input-disturbance with a dynamic state observer

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