Robust Stability and Stabilization of 2D Positive System Employing Saturation

Wang, Jinling; Hou, Yuxiao; Jiang, Lihui; Zhang, Linzhong

doi:10.1007/s00034-020-01528-1

Cited by 8 publications

(3 citation statements)

References 40 publications

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“…x(t − s) T P n (𝜃)x(t − s)ds (15) such that P(𝜃) = ∑ p i=1 𝜃 i P i and P n (𝜃) = ∑ p i=1 𝜃 in P in , where P i > 0 and P in > 0. The derivative of V according to the closed-loop system is equal to:…”

Section: Resultsmentioning

confidence: 99%

“…Several considerable topics of positive systems such as stabilization and stability problems have been investigated extensively with rapid development. They have attracted a great deal of attention in the stability of linear positive systems, 12 stability of nonlinear positive systems, 13 finite-time stability of the positive systems, 14 robust stability of uncertain positive systems, 15 stability of multi-input multi-output (MIMO) positive systems, 16 stability of discrete-time positive systems, 17 stochastic stability of positive systems, 18 stabilization of the positive system with time-delays, 19 and stabilization of switched positive systems. 20 In many fields of science, engineering, and physical systems, "time-delays," which may be the source of instability and degradation of the performance of the systems, are unavoidable.…”

Section: Introductionmentioning

confidence: 99%

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On linear parameter varying control of time‐delayed positive systems

Rahmanian

Asemani

2022

Intl J Robust & Nonlinear

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The original purpose of this article is to tackle the stabilizing controller design for linear parameter varying positive systems with multiple delays, in which the considered delays are time-invariant. The proposed control strategy consists of a parameter varying state-feedback controller. A complete solution to the design problem is proposed by utilizing a Lyapunov approach. In order to decrease the conservativeness of the controller design, we define a slack variable to prevent the multiplication of the Lyapunov matrices with the system matrices. Moreover, the slack variable is considered as a parameter varying matrix. Finally, the criteria are transformed into linear matrix inequalities. Therefore, sufficient conditions stabilize the closed-loop system and preserve the positive property. A special case for the mentioned system is the deep brain stimulation system used in the area of Parkinson's treatment. It enables neuroscientists to control abnormal brain activity by implanting electrodes that generate electrical impulses. This system is provided as a practical example to guarantee the effectiveness of the obtained outcomes.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On linear parameter varying control of time‐delayed positive systems

Rahmanian

Asemani

2022

Intl J Robust & Nonlinear

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“…In addition, due to the mathematical characteristics of the grid design itself, the arrangement of visual elements is by the grid's gradation multiplier, so the grid's layout is easy to form a clear and orderly visible structure. The accuracy of visual transformation is shown in Figure 7 [37].…”

Section: B Implementation Of Visual Transformation Of Dialects In Sic...mentioning

confidence: 99%

A Vision and Semantics-Jointly Driven Hybrid Intelligence Method for Automatic Pairwise Language Conversion

Zhao

Feng

2023

IEEE Access

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In modern society where connections among nations have been more and more frequent, it remains important to realize automatic language conversion methods for the public. Currently, most the existing research works were conducted upon the basis of semantics analysis. But from the perspective of linguistics, the vision characteristics is also a kind of concomitant existence. To deal with such challenge, this paper proposes a vision and semantics-jointly driven hybrid intelligence method for automatic pairwise language conversion. The whole technical framework can be divided into two components: vision sensing part and semantics sensing part. For the former, the virtual reality is introduced for use to capture the visual feature representation for language contents. For the latter, the recurrent neural network model is utilized to capture semantic feature representation for language texts. They are then integrated into a jointly driving framework, so as to improve the conversion efficiency. Taking two dialects (Sichuan dialect and Chongqing dialect) in China as the example, the simulative experiments are conducted on massive real-world training corpus to evaluate the proposal. The results can reflect feasibility of it.

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