Stabilisation for 2-D discrete-time switched nonlinear systems with mixed time-varying delays under all modes unstable

Peng, Dan; Nie, Hanmei

doi:10.1080/00207721.2021.1972356

International Journal of Systems Science

2021

DOI: 10.1080/00207721.2021.1972356

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Stabilisation for 2-D discrete-time switched nonlinear systems with mixed time-varying delays under all modes unstable

Dan Peng

Hanmei Nie

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2024

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Cited by 2 publications

References 39 publications

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Event‐Triggered Dissipative Control of Discrete‐Time 2‐D Switched Systems With Mixed Delays

Peng,

2024

Optim Control Appl Methods

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In this article, we investigates the event‐triggered dissipative control problem of discrete‐time two‐dimensional (2‐D) switched systems with mixed delays. First, according to the evolution characteristics of the Fornasini–Marchesini model, a bidirectional event‐triggered mechanism (ETM) is adopted to reduce unnecessary calculation and control signal transmission. Second, an improved Lyapunov–Krasovskii function is selected, combined with Jensen inequalities and Abel lemma‐based finite‐sum inequalities, and according to the extended average dwell time method, sufficient conditions are given in the form of linear matrix inequalities to ensure the dissipative stability of the closed‐loop system under bidirectional ETM. Then, the corresponding state feedback controller and dynamic output feedback controller based on bidirectional ETM were designed to realize the dissipative control of the 2‐D switched systems. Finally, numerical examples verify the effectiveness of the controller design method.

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Event‐Triggered Dissipative Control of Discrete‐Time 2‐D Switched Systems With Mixed Delays

Peng,

2024

Optim Control Appl Methods

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Robust Dissipative Control and Filtering for 2-D Discrete-Time Switched Systems with Time-Varying Delays

Li,

Peng

2024

Circuits Syst Signal Process

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Stabilisation for 2-D discrete-time switched nonlinear systems with mixed time-varying delays under all modes unstable

Cited by 2 publications

References 39 publications

Event‐Triggered Dissipative Control of Discrete‐Time 2‐D Switched Systems With Mixed Delays

Event‐Triggered Dissipative Control of Discrete‐Time 2‐D Switched Systems With Mixed Delays

Robust Dissipative Control and Filtering for 2-D Discrete-Time Switched Systems with Time-Varying Delays

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