Impulsive Stabilization of Nonlinear Time-Delay System With Input Saturation via Delay-Dependent Polytopic Approach

Li, Hongfei; Li, Chuandong; Ouyang, Deqiang; Nguang, Sing Kiong

doi:10.1109/tsmc.2019.2963398

Cited by 36 publications

(28 citation statements)

References 51 publications

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“…Impulsive control, as mentioned previously, can effectively reduce the communication traffic among agents and update the frequency of the controller. The impulsive sequences were, for the most part, given artificially, which may be conservative 3,15 . The event‐triggered impulsive control (ETIC) was proposed, as a better mechanism, to better combine the advantages of both and to avoid the shortcomings of both 6,21,23,39‐41 .…”

Section: Introductionmentioning

confidence: 99%

“…The stability analysis of nonlinear systems has received a great deal of attention in the literature in recent decades 1‐7 . Successful applications of nonlinear systems have been established in many areas such as robotic control, image encryption, confidential communication, and combinatorial optimization 8‐10 .…”

Section: Introductionmentioning

confidence: 99%

“…The stability analysis of nonlinear systems has received a great deal of attention in the literature in recent decades. [1][2][3][4][5][6][7] Successful applications of nonlinear systems have been established in many areas such as robotic control, image encryption, confidential communication, and combinatorial optimization. [8][9][10] Modeling inaccuracies and changes in the environment often result in the existence of parameter uncertainties in real systems.…”

Section: Introductionmentioning

confidence: 99%

“…The impulsive sequences were, for the most part, given artificially, which may be conservative. 3,15 The event-triggered impulsive control (ETIC) was proposed, as a better mechanism, to better combine the advantages of both and to avoid the shortcomings of both. 6,21,23,[39][40][41] Unlike the impulsive control input, the ETIC strategy indicates that the impulse instants generated by the event-triggering condition can significantly reduce the costs of communication and enhance robustness.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Stability of nonlinear distributed delay system with parameter uncertainties: Integral‐based event‐triggered impulsive control strategy

Zhang

et al. 2021

Intl J Robust & Nonlinear

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This article investigates the stability of nonlinear uncertain distributed delay system via integral‐based event‐triggered impulsive control (IETIC) strategy. First, a IETIC mechanism is presented to reduce the redundant data transmission over the system, in which the integral‐based event‐triggered mechanism uses the integration of system states over a time period in the past. Second, a new lemma is proposed to eliminate the Zeno behavior of the established model through the IETIC mechanism. Third, a novel Lyapunov–Krasovskii functional (LKF) method related to probability density function is constructed to guarantee the stability of the established model based on LMI conditions, where a probability density function is introduced as a distributed delay kernel. Compared with existing methods, the constructed novel LKF method is less conservative or requiring less number of decision variables. Numerical examples are further provided to confirm the effectiveness and advantages of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stability of nonlinear distributed delay system with parameter uncertainties: Integral‐based event‐triggered impulsive control strategy

Zhang

et al. 2021

Intl J Robust & Nonlinear

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“…Ouyang et al [61] dealt with the problem of impulsive synchronization for coupled delayed NNs with actuator saturation by applying the sector non-linearity model method and its application to image encryption. By using the polytopic representation approach, the authors studied the impulsive stabilization problem of NNs with actuator saturation in [62]. Up to now, it is still a challenging topic to consider the actuator saturation into impulsive controller design.…”

Section: Introductionmentioning

confidence: 99%

Exponential stability of discrete‐time delayed neural networks with saturated impulsive control

Cao

et al. 2021

IET Control Theory & Appl

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This paper examines the problem of the locally exponentially stability for impulsive discrete-time delayed neural networks (IDDNNs) with actuator saturation. By fully considering the delay information of the state of the considered system, a new delay-dependent polytopic representation within a discrete-time framework is obtained. Based on the delayindependent polytopic representation approach, the saturation term is expressed as a delaydependent convex combination. In order to obtain some less conservative stability conditions and estimate a larger of the domain of attraction, a novel type of Lyapunov-Krasovskii function (LKF) dependent on the delay information and the impulses instant is proposed, which is called time-dependent LKF. Then, by combining with the proposed LKF, a discrete Wirtinger-based inequality, an extended reciprocally convex matrix inequality and some novel analysis techniques, several new exponential stability criteria dependent on the bounds of the delay are presented. Moreover, when saturation constraints are not considered in the impulsive controller, the stability of the system is also discussed. Finally, two examples are given to confirm the applicability of the proposed results. INTRODUCTIONNeural networks (NNs) have gained considerable research attention in the last few decades because of its wide application in many disciplines including associative memories, pattern recognition, optimization algorithms, and other scientific [1][2][3][4][5][6][7][8]. In addition to this, time delay is inevitable in practical network communication owing to the limited speed of the processor/amplifier [11]. Common types of time delays mainly include discrete delays, distributed delays and neutral delays, and they are generally regarded as main factors causing leading even to its instability. Consequently, it is more meaning to consider delayed NNs. Currently, the research on the dynamics of time-delayed neural networks has received extensive attention, some selected works on NNs with delays are [12][13][14][15][16][17]. Note that the aforementioned NNs are continuous-time dynamical system described by non-linear functional differential equations. However, whenThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Stability analysis of nonlinear fuzzy hybrid control systems subject to saturation and delays via step‐function method

Qiu,

Li,

Qiu

2023

Intl J Robust & Nonlinear

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Within the framework of the step‐function method, the stability of a nonlinear fuzzy hybrid control system that incorporates both an impulsive controller and a continuous state feedback controller is investigated. Both the two controllers are assumed to be subject to both actuator saturation and time‐varying delays, which has been given scant attention, if any, in the existing studies. A new assumption is introduced in this article, thereby enabling the use of generalized sector conditions to tackle the double saturation, and the conservatism inherent in stability results is remarkably reduced owing to the improved step‐function approach employed. The stability theorem proposed in this article removes constraints imposed on the time delays of both controllers, which can be also applied to wider scopes of systems, encompassing hybrid control systems with both stabilizing and instabilizing impulses, systems with varying impulsive gain, and systems with Zeno behavior. Numerical simulations of stabilization for different systems by delayed saturated hybrid control have been conducted, which demonstrate the validity of the proposed theorems.

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Impulsive Stabilization of Nonlinear Time-Delay System With Input Saturation via Delay-Dependent Polytopic Approach

Cited by 36 publications

References 51 publications

Stability of nonlinear distributed delay system with parameter uncertainties: Integral‐based event‐triggered impulsive control strategy

Stability of nonlinear distributed delay system with parameter uncertainties: Integral‐based event‐triggered impulsive control strategy

Exponential stability of discrete‐time delayed neural networks with saturated impulsive control

Stability analysis of nonlinear fuzzy hybrid control systems subject to saturation and delays via step‐function method

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