Applied Mathematics and Computation最新文献

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Event-based global asymmetric constraint control for p-normal systems with unknown control coefficients

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-04 DOI: 10.1016/j.amc.2025.129275

Qidong Li , Changchun Hua , Kuo Li , Hao Li

The global asymmetric predetermined performance control (APPC) problem for p-normal systems with time-varying unknown control coefficients is studied. To address the challenges posed by these unknown time-varying control coefficients, a new unified Nussbaum function is proposed. This function is applicable to all cases where the system power is an odd positive ratio, not just those greater than or equal to one. In order to remove the restriction on the initial values of system, a variable transformation mechanism is designed, enhancing the applicability of the control strategy. Additionally, by incorporating the sign of the error signal into the error transformation mechanism, the constraint boundaries can be switched based on the sign of error. This introduces non-differentiability issues, which are effectively managed through the design of the virtual controller. Furthermore, to optimize energy transmission efficiency, we develop an adaptive event-triggered (AET) mechanism that dynamically adjusts the triggered threshold based on the tracking error. We also provide lemmas to demonstrate that all signals within the system are bounded and that the tracking error remains within the asymmetric boundaries. Finally, two examples are given to verify the effectiveness of the proposed algorithm.

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引用次数: 0

Numerical cubature and hyperinterpolation over spherical polygons

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-03 DOI: 10.1016/j.amc.2025.129335

A. Sommariva

The purpose of this work is to introduce a strategy for determining the nodes and weights of a low-cardinality positive cubature formula nearly exact for polynomials of a given degree over spherical polygons.

In the numerical section we report the results about numerical cubature over spherical polygons

P_{1}

P_{2}

, approximating respectively the Australian and African continents. As an application we consider the reconstruction of functions over

P_{1}

, also affected by perturbations, via hyperinterpolation and some of its variants. The open-source Matlab software used in the numerical tests is available at the author's homepage.

引用次数: 0

Adaptive FTPP control of switched stochastic nonlinearly parameterized systems with asymptotic tracking performance

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-01-31 DOI: 10.1016/j.amc.2025.129305

Yanli Liu, Yihua Sun, Li-Ying Hao

The article discusses the asymptotic tracking control for switched stochastic systems with nonlinear parameterization. Firstly, to achieve the finite-time control, a finite-time prescribed performance function (FTPPF) is introduced into the regular control frame which refrains from the fractional-order controller design. Secondly, an error transformation is employed which renders the transition from primordial output tracking error to a new error associated with the FTPPF for achieving objective. Thirdly, an improved filter is introduced to deal with the sharp increase in computation on account of the repeated differentiation of the virtual controllers. By using the Barbǎlat's Lemma, the designed control strategy can insure the output tracks the reference signal asymptotically, and the performance function boundaries are satisfied within a finite time under the designed control strategy. Finally, simulations are given to demonstrate the feasibility of the constructed strategy.

引用次数: 0

Environmental feedback promotes cooperation in a spatial prisoner's dilemma game with preferential selection

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-01-31 DOI: 10.1016/j.amc.2025.129331

Minlan Li , Chao Wang , Yanyan Han , Si-Yi Wang , Ruiwu Wang

The reciprocal influence between the environment and the cooperation level is a ubiquitous reality. Changes in cooperation levels impact environmental quality, while environmental conditions, in turn, affect individual fitness and behavior. Drawing inspiration from this inherent interplay, we investigate the role of environmental feedback on the spatial prisoner's dilemma game. We establish two discrete environmental states by introducing a feedback parameter. Furthermore, we incorporate a more realistic scenario wherein individuals with higher fitness are more likely to be imitated by their neighbors due to preferential selection. Our findings reveal that environmental feedback efficiently fosters cooperation, driven by the preferential selection. Moreover, a specific parameter range is identified in which the enhancement for cooperation is most pronounced. Notably, we observe that environmental feedback alone does not enhance cooperation, a result potentially linked to the nature of feedback formulations employed. These results provide valuable insights into the emergence and evolution of cooperation within complex systems.

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引用次数: 0

Mitigating infection in prey through cooperative behavior under fear-induced defense

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-01-31 DOI: 10.1016/j.amc.2025.129318

K.M. Ariful Kabir

This study investigates an eco-epidemiological model that incorporates disease dynamics in prey populations while considering the impact of predator-induced fear on prey species. A pairwise evolutionary game theory model, which incorporates prey species behavior to mitigate infection, is also examined. Prey individuals can employ two behavioral tactics, cooperation, and defection, to reduce infection. The behavioral changes in prey are described using a game dynamic model based on replicator equations, where the gain depends on pairwise dyadic interactions. Without predator species, the prey population is assumed to grow logistically, with the disease affecting only the prey. The prey population is divided into susceptible prey and infected prey. Predators, which are not infected by the disease, feed on both susceptible and infected prey. The presence of predators induces fear in the prey, making them more vigilant and reducing their contact with infected individuals. This decreased contact lowers the chance of infection among susceptible prey. Infected prey, being more watchful, are unaffected by the fear of predators. The equilibrium points of the system and their stability are analyzed. As the level of fear increases, the system shifts from limit cycle oscillations to a steady state. While increasing fear levels do not eradicate the disease, they do reduce the amplitude of the infected prey population. The system's stability changes with varying infection rates, leading to predator extinction when the infection rate in prey is sufficiently high despite predators not being infected. This study reveals that fear and behavioral control strategies can contribute to eradicating the disease. Increasing levels of fear have a passive effect on reducing the infected population, while control behavior has an active impact, highlighting a critical insight that strengthens the model. These findings enhance the understanding of the system's dynamic behavior.

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引用次数: 0

LP-based mode-dependent piece-wise event-triggered finite-time L1 control for switched positive systems under MDMDT constraint

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-01-31 DOI: 10.1016/j.amc.2025.129332

Shuo Li , Yiyun Zhang , Yongqi Jia , Zhengrong Xiang , Jinling Wang

This paper addresses the design of a finite-time (FT)

L_{1}

control utilizing an event-triggered (ET) mechanism for a category of switched positive systems (SPSs) while taking into account the constraint of mode-dependent minimum dwell time (MDMDT). First, a novel ET approach utilizing 1-norm criteria is introduced to formulate the FT control design, and a positivity condition is established. Then, a new class of discretized linear copositive Lyapunov function (DLCLF) is created for the MDMDT constraint, and an ET-FT

L_{1}

control scheme in a novel mode-dependent piece-wise format is designed for SPSs subject to the MDMDT constraint. It is noteworthy that through the utilization of matrix decomposition technology on the controller gain matrices

F_{i, s}^{+}

and

F_{i, s}^{-}

, the proposed conditions for the devised ET-FT

L_{1}

control scheme are formulated in the linear programming (LP) form, rather than the traditionally employed linear matrix inequality (LMI) form. This approach offers a simpler structure and reduced computational complexity compared to the latter. Furthermore, to facilitate the development of FT

L_{1}

control, a time-triggered (TT) mechanism is also specifically integrated, and an LP-based TT-FT

L_{1}

control scheme in a mode-dependent piece-wise format is designed for SPSs under the MDMDT constraint. With the LP conditions, three examples are presented to show the efficacy and veracity of the devised ET-FT

L_{1}

control. Furthermore, a comparative analysis is conducted between the formulated ET-FT

L_{1}

control and the TT-FT

L_{1}

control, highlighting the superiority of the former.

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引用次数: 0

Quaternion modified conjugate gradient algorithm to solve Sylvester-type quaternion matrix equations with generalized coupled form as well as application

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-01-30 DOI: 10.1016/j.amc.2025.129330

Yifen Ke , Xiaomin Cai , Riwei Liao , Huai Zhang

Sylvester-type matrix equations have a wide range of applications in various fields, including stability analysis, control theory, system theory, image and signal processing, and optimization problems. In this study, we aim to address the necessity of employing mathematical approaches to solve a category of Sylvester-type quaternion matrix equations with generalized coupled form. Firstly, we establish a sufficient and necessary condition to ensure that the solution set of this category of Sylvester-type quaternion matrix equations is nonempty. This involves utilizing the real representation operator, vectorization operator, and Kronecker product on the real field. Secondly, we develop the conjugate linear operator on the quaternion algebra by utilizing the real inner product defined between two quaternion matrices. Thirdly, we introduce a quaternion modified conjugate gradient algorithm to find a general solution of this class quaternion matrix equations, along with the theoretical analysis results of the proposed algorithm. Finally, we propose a novel framework for simultaneously encrypting and decrypting multi-color images through the quaternion matrix equations. Additionally, several examples are presented to elucidate the main results.

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引用次数: 0

Corrigendum to “Neural networks for bifurcation and linear stability analysis of steady states in partial differential equations” [Appl. Math. Comput. 483 (2024) 128985]

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-01-30 DOI: 10.1016/j.amc.2025.129319

Muhammad Luthfi Shahab, Hadi Susanto

引用次数: 0

Eigenvalue bounds and Perron-Frobenius theory for nonnegative or positive interval matrices

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-01-29 DOI: 10.1016/j.amc.2025.129329

Sarishti Singh, Geetanjali Panda

This paper introduces two classes of regular interval matrices and establishes intervals that either include or exclude the real eigenvalues of positive interval matrices. The Perron-Frobenius theory is extended to the generalized interval eigenvalue problem for nonnegative interval matrices under certain conditions. Moreover, necessary and sufficient conditions are derived for the existence of a real scalar and a positive vector that satisfy the generalized interval eigenvalue problem for nonnegative interval matrices under certain conditions.

引用次数: 0

The restrained double Roman domination and graph operations

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-01-27 DOI: 10.1016/j.amc.2025.129315

Zhipeng Gao , Changqing Xi , Jun Yue

A restrained double Roman dominating function (RDRD-function) on a graph G is a function

f : V (G) \to {0, 1, 2, 3}

that satisfies two conditions: (1) If

f (v) < 2

, then

\sum_{u \in N_{G} [v]} f (u) \geq | A N_{G}^{f} (v) | + 2

, where

A N_{G}^{f} (v) = {u \in N_{G} (v) : f (u) \geq 1}

; (2) The subgraph induced by the vertices assigned 0 under f contains no isolated vertices. The weight of an RDRD-function f is

\sum_{v \in V (G)} f (v)

, and the minimum weight of an RDRD-function on G is defined as the restrained double Roman domination number (RDRD-number) of G, denoted by

γ_{r d R} (G)

. In this paper, we first establish that computing the RDRD-number is NP-hard, even for chordal graphs. Then the impact of various graph operations, including the strong product, cardinal product, and corona product, on the restrained double Roman domination number are given.

引用次数: 0

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