Delay-dependent Robust Dissipative Control for Singular LPV Systems with Multiple Input Delays

Wang, Xin; Zhang, Xian; Yang, Xiaona

doi:10.1007/s12555-018-0237-0

Cited by 22 publications

(7 citation statements)

References 41 publications

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“…Note that in [34], by introducing symmetric positive definite matrices L i and N i , the constraints D 2 = 0, ||B 2 ||•||Ψ 4 || = 0 on the structure of MJNNs (1) are overcome and Ψ 4 ≥ 0 is ensured. As seen in (20) of present paper. If Ψ 4 ≥ 0, L i ≤ 0, and N i ≤ 0, we can obtain Γ 33 ≤ 0 and Γ 44 ≤ 0.…”

Section: Resultssupporting

confidence: 63%

“…As the prerequisite in many applications, stability is of great importance [9]- [16]. In the implementation of (large scale) neural networks, since finite switching speed of amplifiers and communication speed between neurons, the presence of time delays is unavoidable, which may cause a stable neural network oscillated [17]- [20]. Thus, it is a meaningful topic for the dynamic performance analysis for NNs with time delay [21]- [23].…”

Section: Introductionmentioning

confidence: 99%

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A Novel Delay-Product-Type Functional Method to Extended Dissipativity Analysis for Markovian Jump Neural Networks

Huang

Wang

et al. 2021

IEEE Access

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This paper studies the problem of extended dissipativity analysis for Markovian jump neural networks (MJNNs) with time-varying delay. Combining Wirtinger-based double integral inequality and S-procedure lemma, a novel double integral-based delay-product-type (DIDPT) Lyapunov functional is constructed in this paper, which avoids the incomplete components in the existing works. Then, based on parameter-dependent reciprocally convex inequality (PDRCI) and the novel DIDPT, a new extended dissipativity condition is obtained for MJNNs. A numerical example is employed to illustrate the advantages of the proposed method. INDEX TERMS Markovian jump neural networks, extended dissipativity, time-varying delay, delayproduct-type functional, S-Procedure lemma.

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Section: Resultssupporting

confidence: 63%

Section: Introductionmentioning

confidence: 99%

A Novel Delay-Product-Type Functional Method to Extended Dissipativity Analysis for Markovian Jump Neural Networks

Huang

Wang

et al. 2021

IEEE Access

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“…Finally, a numerical test has been given at the end of this paper to illustrate the effectiveness and feasibility of the proposed criterion. e methods of this article can also be used to study other types of dynamic system, especially for genetic regulatory neural networks [31,32], singular dynamic systems [33,34], and fuzzy dynamic system [35][36][37]. We will study different types of neural networks by using the mathematical induction method and M−matrix analysis method.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Global Exponential Stability of a Discrete-Time Rayleigh System with Delays

Shen

2021

Discrete Dynamics in Nature and Society

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“…It leads to poor performance and in severe cases can induce oscillations and cause instability of the closed-loop system (Fridman, 2014). The stability and performance of time-delay LPV systems have been studied extensively in the literature (Briat, 2015;Salavati et al, 2019;Wang et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Observer-Based Control of LPV Systems with Input Delay and Saturation and Matched Disturbances via a Generalized Sector Condition

Salavati

Grigoriadis

Franchek

2021

Front. Control Eng.

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This paper examines the control design for parameter-dependent input-delay linear parameter-varying (LPV) systems with saturation constraints and matched input disturbances. A gain-scheduled dynamic output feedback controller, coupled with a disturbance observer to cancel out input disturbance effects, was augmented with an anti-windup compensator to locally stabilize the input-delay LPV system under saturation, model uncertainty, and exogenous disturbances. Sufficient delay-dependent conditions to asymptotically stabilize the closed-loop system were derived using Lyapunov-Krasovskii functionals and a modified generalized sector condition to address the input saturation nonlinearity. The level of disturbance rejection was characterized via the closed-loop induced L2-norm of the closed-loop system in the form of linear matrix inequality (LMI) constraints. The results are examined in the context of the mean arterial pressure (MAP) control in the clinical resuscitation of critical hypotensive patients. The MAP variation response to the injection of vasopressor drugs was modeled as an LPV system with a varying input delay and was susceptible to model uncertainty and input/output disturbances. A Bayesian filtering method known as the cubature Kalman filter (CKF) was used to estimate the instantaneous values of the parameters. The varying delay was estimated via a multiple-model approach. The proposed input-delay LPV control was validated in closed-loop simulations to demonstrate its merits and capabilities in the presence of drug administration constraints.

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Delay-dependent Robust Dissipative Control for Singular LPV Systems with Multiple Input Delays

Cited by 22 publications

References 41 publications

A Novel Delay-Product-Type Functional Method to Extended Dissipativity Analysis for Markovian Jump Neural Networks

A Novel Delay-Product-Type Functional Method to Extended Dissipativity Analysis for Markovian Jump Neural Networks

Global Exponential Stability of a Discrete-Time Rayleigh System with Delays

Observer-Based Control of LPV Systems with Input Delay and Saturation and Matched Disturbances via a Generalized Sector Condition

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