Fuzzy Finite-Time Stability of Chaotic Systems with Time-Varying Delay and Parameter Uncertainties

Li, Dong; Cao, Jinde

doi:10.1155/2015/393860

Cited by 4 publications

(4 citation statements)

References 32 publications

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“…Note : In Li and Cao (2015), integral items coupled with sign ( · ) function items are introduced in the controller to realize finite-time stable. In Wang et al, (2015b), the authors proposed a controller containing the integral item ( ∫ t − τ t e i T ( s ) e i ( s ) ds ) 1 2 to realize finite-time synchronization for the time-delay systems.…”

Section: Secure Communication Via Finite-time Chaos Synchronizationmentioning

confidence: 99%

“…To present, the research on the finite-time chaos control of time delay chaotic systems is still relatively rare. Based on the Takagi–Sugeno (T–S) model, Li and Cao (2015) converted the finite-time stability problems of chaotic systems into stabilization of fuzzy T–S systems. Motivated by the above discussion, in this paper, we will study the finite-time secure communication problem via chaos synchronization with time-delay.…”

Section: Introductionmentioning

confidence: 99%

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Robust finite-time chaos synchronization of time-delay chaotic systems and its application in secure communication

Wang

Miao

et al. 2016

Transactions of the Institute of Measurement and Control

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This paper presents finite-time chaos synchronization of time-delay chaotic systems with uncertain parameters. According to the proposed method, a lot of coupled items can be treated as zero items. Thus, the whole system can be simplified greatly. Based on robust chaotic synchronization, secure communication can be realized with a wide range of parameter disturbance and time-delay. Numerical simulations are provided to illustrate the effectiveness of the proposed method.

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Section: Secure Communication Via Finite-time Chaos Synchronizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust finite-time chaos synchronization of time-delay chaotic systems and its application in secure communication

Wang

Miao

et al. 2016

Transactions of the Institute of Measurement and Control

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“…[1][2][3][4][5][6][7][8][9] However, these methods depend on the known upper bounds of unknown time-delays in inputs or states. Hence, study for nonlinear time-delayed systems is significative both in theory and in practice.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, a large number of control strategies and stability analysis methods based on Lyapunov-Krasovskii function, linear matrix inequality, backstepping technique, and supervisory control were proposed for time-delayed systems. [1][2][3][4][5][6][7][8][9] However, these methods depend on the known upper bounds of unknown time-delays in inputs or states.…”

Section: Introductionmentioning

confidence: 99%

Composite learning fuzzy synchronization for incommensurate fractional‐order chaotic systems with time‐varying delays

Zhou

Liu

Cao

et al. 2019

Adaptive Control & Signal

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This paper presents a composite learning fuzzy control to synchronize two different uncertain incommensurate fractional-order time-varying delayed chaotic systems with unknown external disturbances and mismatched parametric uncertainties via the Takagi-Sugeno fuzzy method. An adaptive controller together with fractional-order composite learning laws is designed based on both a parallel distributed compensation technology and a fractional Lyapunov criterion. The boundedness of all variables in the closed-loop system and the Mittag-Leffler stability of tracking error can be guaranteed. T-S fuzzy systems are provided to tackle unknown nonlinear functions. The distinctive features of the proposed approach consist in the following: (1) a supervisory control law is designed to compensate the lumped disturbances; (2) both the prediction error and the tracking error are used to estimate the unknown fuzzy system parameters; (3) parameter convergence can be ensured by an interval excitation condition. Finally, the feasibility of the proposed control strategy is demonstrated throughout an illustrative example.

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Decoupling mechanism of industry carbon emissions, carbon intensity and economic growth in Pakistan

Iqbal

Tang

Jahangir

et al. 2023

Indoor and Built Environment

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The study examined the decoupling relationship between industry carbon emissions and economic growth using the most current updated data. We collected data from the industry sector of Pakistan from 1991 to 2018. This study used two techniques, Tapio’s elasticity and fluctuation index, to test the decoupling relationship and the relationship’s stability between industry carbon emissions and economic growth. First, we analyzed the decoupling relationship between industry carbon emissions and economic growth in Pakistan using Tapio’s decoupling model, decoupling the elasticity of technology, scale and structure. Second, the decoupling volatility index was used to determine the stability of the technology, scale and structure elasticity. The Tapio decoupling elasticity technique results confirmed the significant relationship between industry CO2 emissions, economic growth and added value comes out to be a simple feature of each stage and undergoes expansive negative and strong decoupling processes. The outcomes of elastically decoupled volatility indexes suggest that three out of four indices are high, indicating unstable decoupling conditions. This study concludes that growth and volatility were the crucial characteristics of industrial carbon emissions during 1991–2018. Hence, the industry’s carbon emissions were increased from 16.67 million tons in 1991 to 55.70 million tons in 2018, an average yearly growth of 4.56%.

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Fuzzy Finite-Time Stability of Chaotic Systems with Time-Varying Delay and Parameter Uncertainties

Cited by 4 publications

References 32 publications

Robust finite-time chaos synchronization of time-delay chaotic systems and its application in secure communication

Robust finite-time chaos synchronization of time-delay chaotic systems and its application in secure communication

Composite learning fuzzy synchronization for incommensurate fractional‐order chaotic systems with time‐varying delays

Decoupling mechanism of industry carbon emissions, carbon intensity and economic growth in Pakistan

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