A Review of Chaos Control Strategies for Tri-trophic Food Chain Ecological Systems

The existence of chaos in ecological models is quite obvious due to the presence of nonlinear terms. Controlling chaotic phenomena in ecological systems remains a difficult task due to their unpredictability, and thus chaos control is one of the main objectives for constructing mathematical models in ecology today. Our aim in this paper is to review chaos control strategies for the tri-trophic food chain models by using various ecological factors. The factors include additional food, prey refuge, the Allee effect, the fear effect, and harvesting. We establish the essential conditions for the existence of ecologically feasible equilibrium points in the food chain ecological systems and their local stability. This paper provides a unified overview of recent research on the chaos control of ecological systems. The theoretical results suggest a way to control populations of species in ecological systems for fishing and pest management in farming. Numerical examples are performed to justify and compare the theoretical findings through phase portraits and bifurcation diagrams

H(infinity )sampled-state feedback control for synchronization of chaotic Lur'e systems with time delays

This paper investigates H-infinity sampled-state feedback control for synchronization of chaotic Lur'e systems with time delays under the aperiodic samplings. First, this paper proposes an improved stability criterion for sampled-state feedback control to synchronize the chaotic Lur'e systems with time delays under aperiodic samplings by constructing a novel Lyapunov-Krasovskii functional. Compared with the literature, the novel Lyapunov-Krasovskii functional utilizes the fragmented state and its state-space model which is defined between the last sampling instant and the present time. Second, this paper introduces an H-infinity performance index for H-infinity sampled-state feedback control of synchronization error systems considering the state-space model of the fragmented state. Based on the proposed Lyapunov-Krasovskii functional and the H-infinity performance index, the stability criterion and the H-infinity control criterion are derived in terms of linear matrix inequalities, respectively. A numerical example shows the effectiveness of the proposed criterion. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.11sciescopu

불확실한 특이 마코비안 점프 TS 퍼지 시스템에 대한 출력 궤환 제어

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충격 잡음에 강한 부분대역 알고리즘을 이용한 능동 소음 제거 알고리즘

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Stability analysis for systems with time-varying delay via orthogonal-polynomial-based integral inequality

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배전 계통 동적 상태 추정 알고리즘 개발

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새로운 스텝 크기 조절기를 이용한 충격 잡음에 강한 능동 소음 제어 알고리즘

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An improved stability criterion for linear systems with multi-rate sampled data

This paper proposes a stability criterion for linear systems with multi-rate sampled data by constructing novel Lyapunov functionals. The systems are represented as linear systems with input delay. The Lyapunov functionals consist of a quadratic function, an integral term related to the sampling intervals of each sensor and looped-functionals related to the sampling intervals of whole systems. In the view of the Lyapunov stability theorem, the quadratic function and the integral term require the positivity condition, whereas the looped-functionals do not require the positivity condition because the functionals are zeros at the sampling instants. Furthermore, the looped-functionals exploit the information on the sampled state and the state at the next sampling instants. Based on the Lyapunov functionals, this paper derives a stability criterion in terms of linear matrix inequalities. The simulation results show the effectiveness of the proposed stability criterion. (C) 2020 Elsevier Ltd. All rights reserved.11Nsciescopu