Finite-time boundedness of two-dimensional positive continuous-discrete systems in Roesser model

Huang, Shipei; Yan, Zhengbing; Zhang, Zhengjiang; Zeng, Guo‐Qiang

doi:10.1177/0142331220980883

Cited by 3 publications

(2 citation statements)

References 43 publications

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“…Graziano (2022) addressed the problems of structural stability and the L 2 gain of 2DCDSs. Huang et al (2021) investigated the finite-time boundedness of positive 2DCDSs in Roesser model.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered control of switched 2D continuous-discrete systems

Luo,

Huang,

Yan

et al. 2024

Transactions of the Institute of Measurement and Control

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This paper is concerned with the event-triggered control of switched two-dimensional (2D) continuous-discrete systems in Roesser model. A more general event-triggered scheme is proposed to reduce unnecessary resource waste and data redundancy, where a weighing coefficient and multiple parameter matrices are used. Based on the proposed event-triggered mechanism, a state feedback controller and a state-dependent switching signal are proposed. By using the multiple Lyapunov function method, sufficient conditions for the exponential stability of the closed-loop system are derived in terms of linear matrix inequalities. Finally, two examples are provided to illustrate the effectiveness of the proposed method.

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“…Graziano (2022) addressed the problems of structural stability and the L 2 gain of 2DCDSs. Huang et al (2021) investigated the finite-time boundedness of positive 2DCDSs in Roesser model.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered control of switched 2D continuous-discrete systems

Luo,

Huang,

Yan

et al. 2024

Transactions of the Institute of Measurement and Control

Self Cite

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“…Positive systems are special dynamic systems whose states and outputs are always limited to non-negative quadrants as long as the initial condition is non-negative (Chen et al, 2018;Farina and Rinaldi, 2011;Liu et al, 2019). There are numerous applications of positive dynamic systems in areas including economics (Farina and Rinaldi, 2011), biology (Carson et al, 1981;Huang et al, 2021), chemical reaction systems (Silva Navarro and Alvarez Gallegos, 1994), power systems (Li et al, 2014), and communication (Qi et al, 2019). For example, non-negative and compartmental models, which consist of homogeneous interconnected compartments that exchange non-negative quantities of materials, are typical positive systems and play a key role during many processes in biology and medical science.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis and L1-gain characterization of positive sampled-data systems

Hu,

Shi,

Sun

2023

Transactions of the Institute of Measurement and Control

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In this study, the positive stability and [Formula: see text]-gain characterization problem are investigated for positive sampled-data systems. By constructing a new sampling-period-dependent copositive Lyapunov functional, and introducing the free weight matrix method to remove the single integral term, sufficient conditions for the asynchronous stability of the positive sampled-data system are established. Furthermore, system disturbances that occur frequently in engineering are taken into account. Conditions for robust stability of positive sampled-data systems that satisfy [Formula: see text]-gain performance are developed in the form of the linear programming technology. A numerical example and a practical simulation based on a communication network model are provided to illustrate the rationality and application of the theoretical results.

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A novel control approach for discrete-time 2D Roesser systems under input saturation and intrinsic nonlinearity: A region of stability investigation

Malik,

Tufail,

Rehan

et al. 2024

Transactions of the Institute of Measurement and Control

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This paper presents the control system design for the nonlinear discrete-time Roesser systems under saturated control input. A deficiency in the existing literature has been addressed in this study for the control of two-dimensional (2D) systems. A generalized boundary condition analysis is presented in the form of tractable invariant sets for the derivation of region of stability to design a suitable state feedback control. A mechanism for the evaluation of controller parameters is presented by considering the generalized structure of 2D Lyapunov function. The work has been extended when external disturbances are present in the 2D systems, and a robust design condition by accounting the perturbations as well as the input saturation has been established. In comparison to the existing works, a control system design for 2D Roesser systems under input saturation and intrinsic nonlinearity by application of a generalized Lyapunov function has been revealed. Furthermore, a tractable 2D region of stability for the local control of the 2D systems is achieved, rather than the conventional global controllers. Furthermore, a method has also been studied for obtainment of the controller gain matrix through convex optimization regarding the complete structure of the 2D Lyapunov function. Simulation results are provided for the stabilization of an unstable nonlinear 2D system under input saturation.

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Finite-time boundedness of two-dimensional positive continuous-discrete systems in Roesser model

Cited by 3 publications

References 43 publications

Event-triggered control of switched 2D continuous-discrete systems

Event-triggered control of switched 2D continuous-discrete systems

Stability analysis and L1-gain characterization of positive sampled-data systems

A novel control approach for discrete-time 2D Roesser systems under input saturation and intrinsic nonlinearity: A region of stability investigation

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