Extended Dissipative Control for Singularly Perturbed PDT Switched Systems and its Application

Wang, Jing; Huang, Zhengguo; Wu, Zheng‐Guang; Cao, Jinde; Shen, Hao

doi:10.1109/tcsi.2020.3022729

Cited by 176 publications

(51 citation statements)

References 44 publications

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“…Definition 4 [4]: If the closed-loop system (4) is MSES and under zero initial conditions there exists a scalarγ > 0 such that the following inequality holds for any nonzero…”

Section: B Semi-markov Jump Mechanismmentioning

confidence: 99%

H∞ Stabilization of Discrete-Time Nonlinear Semi-Markov Jump Singularly Perturbed Systems With Partially Known Semi-Markov Kernel Information

Shen

Xing

et al. 2021

IEEE Trans. Circuits Syst. I

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In this paper, the H ∞ stabilization problem is studied for discrete-time semi-Markov jump singularly perturbed systems (SMJSPSs) with repeated scalar nonlinearities. As the exact statistical information of the sojourn time or the mode transition is difficult to obtain, the case with only partial semi-Markov kernel information available is considered. Furthermore, introducing an external disturbance or nonlinearity into the analysis of discrete-time semi-Markov jump systems (DTSMJSs) meets critical obstacles, since the relation between the system state vectors at two nonadjacent instants is difficult to determine. To address this issue, the variation trend of the Lyapunov function for a semi-Markov jump sequence is analyzed in detail. Subsequently, criteria of mean-square exponential stability (MSES) for DTSMJSs are established for the first time based on the Lyapunov stability theory. By virtue of the criteria obtained and the cone complementary linearization algorithm, a controller ensuring MSES and H ∞ performance for discrete-time nonlinear SMJSPSs is constructed. Finally, the effectiveness and applicability of the proposed method are validated by simulation examples including an inverted pendulum model.

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“…Definition 4 [4]: If the closed-loop system (4) is MSES and under zero initial conditions there exists a scalarγ > 0 such that the following inequality holds for any nonzero…”

Section: B Semi-markov Jump Mechanismmentioning

confidence: 99%

H∞ Stabilization of Discrete-Time Nonlinear Semi-Markov Jump Singularly Perturbed Systems With Partially Known Semi-Markov Kernel Information

Shen

Xing

et al. 2021

IEEE Trans. Circuits Syst. I

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“…The last decades have witnessed a mass of attention committed to coupled networked systems (CNSs) owing to their comprehensive capacities in practical domains including industrial automation, power grid, and communication security. [1][2][3][4][5][6][7][8] Among these researches, the major characteristic of CNSs is a series of interconnected dynamical nodes, in which the coupling connection topology is invariable. [9][10][11] Nevertheless, taking the influence of structure, parameter and environment into consideration, the coupling connection topology may suddenly change on account of a new creation or link failures such that network states will switch among finite modes.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time energy‐to‐peak quantized filtering for Markov jump networked systems under weighted try‐once‐discard protocol

Shen

Xia

et al. 2021

Intl J Robust & Nonlinear

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This work addresses the finite-time energy-to-peak filtering issue for networked systems subject to quantization effects and the weighted try-once-discard (WTOD) protocol, in which the random changes of coupling connections are governed by a Markov chain. To avoid the conflict in data transmission, the WTOD protocol is introduced to the communication between the sensor node and the filter, which guarantees that just one sensor node has access to send data at each transmission instant. In addition, the quantizer is employed to improve the reliability of data transmission. The objective of this article is to construct a filter such that the filtering error system satisfies the requirements of both the finite-time boundary and the specified energy-to-peak performance. Based on the Kronecker product, the Lyapunov stability theory and an improved matrix decoupling method, some sufficient conditions are established through disposing of convex optimization issues. Ultimately, the availability of the designed filter is illustrated via a numerical example. K E Y W O R D Senergy-to-peak filtering, finite-time boundary, Markov jump networked systems, weighted try-once-discard protocol

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“…Extended dissipation was used in several systems analysis. The analyses of the extended dissipative performance of the closed-loop PDT SPSSs and a preferable decoupling method deriving the mode-dependent controller gains are given in [ 30 ]. Time-dependent control strategies may be applied over a finite time interval to prevent a disease.…”

Section: Introductionmentioning

confidence: 99%

Zoonotic MERS-CoV transmission: modeling, backward bifurcation and optimal control analysis

Ghosh¹,

Nadim

Chattopadhyay

2021

Nonlinear Dyn

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Middle East Respiratory Syndrome Coronavirus (MERS-CoV) can cause mild to severe acute respiratory illness with a high mortality rate. As of January 2020, more than 2500 cases of MERS-CoV resulting in around 860 deaths were reported globally. In the absence of neither effective treatment nor a ready-to-use vaccine, control measures can be derived from mathematical models of disease epidemiology. In this manuscript, we propose and analyze a compartmental model of zoonotic MERS-CoV transmission with two co-circulating strains. The human population is considered with eight compartments while the zoonotic camel population consist of two compartments. The expression of basic reproduction numbers are obtained for both single strain and two strain version of the proposed model. We show that the disease-free equilibrium of the system with single stain is globally asymptotically stable under some parametric conditions. We also demonstrate that both models undergo backward bifurcation phenomenon, which in turn indicates that only keeping below unity may not ensure eradication. To the best of the authors knowledge, backward bifurcation was not shown in a MERS-CoV transmission model previously. Further, we perform normalized sensitivity analysis of important model parameters with respect to basic reproduction number of the proposed model. Furthermore, we perform optimal control analysis on different combination interventions with four components namely preventive measures such as use of masks, isolation of strain-1 infected people, strain-2 infected people and infected camels. Optimal control analysis suggests that combination of preventive measures and isolation of infected camels will eventually eradicate the disease from the community.

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Extended Dissipative Control for Singularly Perturbed PDT Switched Systems and its Application

Cited by 176 publications

References 44 publications

H∞ Stabilization of Discrete-Time Nonlinear Semi-Markov Jump Singularly Perturbed Systems With Partially Known Semi-Markov Kernel Information

H∞ Stabilization of Discrete-Time Nonlinear Semi-Markov Jump Singularly Perturbed Systems With Partially Known Semi-Markov Kernel Information

Finite‐time energy‐to‐peak quantized filtering for Markov jump networked systems under weighted try‐once‐discard protocol

Zoonotic MERS-CoV transmission: modeling, backward bifurcation and optimal control analysis

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