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5,271 Results Found

  • Article
  • Open Access
4 Citations
2,067 Views
13 Pages

1 October 2021

New sufficient conditions for delay-independent and delay-dependent robust stability of uncertain fuzzy time-delay systems based on uncertain fuzzy Takagi-Sugeno (T-S) models are presented by using the properties of matrix and norm measurements. Furt...

  • Article
  • Open Access
709 Views
20 Pages

14 October 2025

This paper investigates the data-driven event-triggering control of discrete time-delay systems. When there is enough data available, the system parameters can be determined by identified methods, and the model-based controller design can be implemen...

  • Article
  • Open Access
2 Citations
5,449 Views
15 Pages

3 December 2017

A novel stability analysis for the interval time-delay systems is proposed by employing a new series of integral inequalities for single and double integrals. Different from the recently introduced Wirtinger-based inequalities, refined Jensen inequal...

  • Article
  • Open Access
11 Citations
3,645 Views
16 Pages

Latencies in Power Systems: A Database-Based Time-Delay Compensation for Memory Controllers

  • Alexander Molina-Cabrera,
  • Mario A. Ríos,
  • Yvon Besanger,
  • Nouredine Hadjsaid and
  • Oscar Danilo Montoya

Time-delay is inherent to communications schemes in power systems, and in a closed loop strategy the presence of latencies increases inter-area oscillations and security problems in tie-lines. Recently, Wide Area Measurement Systems (WAMS) have been...

  • Article
  • Open Access
3 Citations
3,128 Views
11 Pages

13 March 2019

The problem of anti-saturation control for a class of time-delay systems with actuator saturation is considered in this paper. By introducing appropriate variable substitution, a new delay time-delay systems model with actuator saturation systems is...

  • Article
  • Open Access
6 Citations
2,007 Views
9 Pages

In this study, we delve into the examination of Finite Time Stability (FTS) within a specific class of Fractional-Order Systems (FOS) with time delays. By applying a fixed-point theorem, we establish novel sufficient conditions to ensure FTS for time...

  • Article
  • Open Access
1 Citations
2,056 Views
17 Pages

A Precise Stabilization Method for Linear Stochastic Time-Delay Systems

  • Huasheng Zhang,
  • Changan Shao,
  • Han Geng and
  • Tingting Zhang

7 November 2022

Based on ensuring the steady-state performance of the system, some dynamic performance indicators that have not yet been realized in linear stochastic systems with time-delay are discussed in this paper. First, in view of the relationship between sys...

  • Article
  • Open Access
2 Citations
1,483 Views
21 Pages

8 January 2025

This paper proposes a prescribed performance tracking control scheme for a category of nonlinear stochastic time-delay systems with input saturation and state asymmetric time-varying constraints. First, to solve the non-differentiable problem caused...

  • Article
  • Open Access
2 Citations
2,429 Views
20 Pages

22 February 2023

This paper deals with the problems of finite-time boundedness (FTB) and H FTB for time-delay Markovian jump systems with a partially unknown transition rate. First of all, sufficient conditions are provided, ensuring the FTB and H FTB o...

  • Article
  • Open Access
9 Citations
2,078 Views
22 Pages

Robust Stabilization of Linear Time-Delay Systems under Denial-of-Service Attacks

  • Abdul-Wahid A. Saif,
  • Sami El-Ferik and
  • Siddig M. Elkhider

21 June 2023

This research examines new methods for stabilizing linear time-delay systems that are subject to denial-of-service (DoS) attacks. The study takes into account the different effects that a DoS attack can have on the system, specifically delay-independ...

  • Article
  • Open Access
3 Citations
1,420 Views
18 Pages

31 January 2025

This paper introduces two model order-reduction techniques for second-order time-delay systems. The first method involves converting the second-order system into a first-order form, along with a set of related structure-preserving algorithms. The sec...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,775 Views
26 Pages

10 May 2023

Incremental stability analysis for time-delay systems has attracted more and more attention for its contemporary applications in transportation processes, population dynamics, economics, satellite positions, etc. This paper researches the criteria fo...

  • Article
  • Open Access
399 Views
31 Pages

Conformable Time-Delay Systems: Stability and Stabilization Under One-Sided Lipschitz Conditions

  • Raouf Fakhfakh,
  • Abdellatif Ben Makhlouf,
  • Ibrahim-Elkhalil Ahmed,
  • Husam E. Dargail and
  • Omar Naifar

12 December 2025

This study looks at the stability and stabilization issues concerning the nonlinear time-delay systems specified by conformable derivatives. These requirements can be used for many useful applications. Through the construction of appropriate Lyapunov...

  • Article
  • Open Access
13 Citations
2,504 Views
12 Pages

We propose an adaptive radial basis (RBF) neural network controller based on Lyapunov stability theory for uncertain fractional-order time-delay chaotic systems (FOTDCSs) with different time delays. The controller does not depend on the system model...

  • Article
  • Open Access
3 Citations
2,017 Views
20 Pages

In this research work, time-delay adaptive synchronization and adaptive anti-synchronization of chaotic fractional order systems are analyzed via the Caputo fractional derivative, and the prob-lem of synchronization and anti-synchronization of chaoti...

  • Article
  • Open Access
13 Citations
3,769 Views
16 Pages

Sliding Mode Control with Dynamical Correction for Time-Delay Piezoelectric Actuator Systems

  • Javier Velasco,
  • Oscar Barambones,
  • Isidro Calvo,
  • Joseba Zubia,
  • Idurre Saez de Ocariz and
  • Ander Chouza

27 December 2019

In piezoelectric actuators (PEAs), which suffer from inherent nonlinearities, sliding mode control (SMC) has proven to be a successful control strategy. Nonetheless, in micropositioning systems with time delay, integral proportional control (PI), and...

  • Article
  • Open Access
298 Views
16 Pages

Research on TID Controller Design for Fractional-Order Time-Delay Systems

  • Jinyuan Zhang,
  • Ling Zhang,
  • Zhisheng Liang and
  • Rongnian Tang

10 January 2026

Fractional-order time-delay systems boast better dynamic performance than integer-order ones in optimally controlling industrial design objects. However, in lack of commendable methodologies, designing proper controllers for these systems confronts a...

  • Article
  • Open Access
1 Citations
1,586 Views
35 Pages

3 July 2024

Several types of linear and nonlinear singularly perturbed time-delay differential systems are considered. Asymptotic stability of the linear systems and asymptotic stability of the trivial solution of the nonlinear systems, valid for any sufficientl...

  • Article
  • Open Access
7 Citations
2,569 Views
22 Pages

30 November 2021

In this study, a singularly perturbed linear time-delay system of neutral type is considered. It is assumed that the delay is small of order of a small positive parameter multiplying a part of the derivatives in the system. This system is decomposed...

  • Article
  • Open Access
11 Citations
4,157 Views
15 Pages

Fractional-Order PID Controller Based on Immune Feedback Mechanism for Time-Delay Systems

  • Adel Makhbouche,
  • Badreddine Boudjehem,
  • Isabela Birs and
  • Cristina I. Muresan

The control of processes with time delays is crucial in process industries such as petrochemical, hydraulic, and manufacturing. It is a challenging task for automation engineers, as it may affect both phase and gain margins. In this case, a robust co...

  • Article
  • Open Access
7 Citations
2,517 Views
15 Pages

3 September 2021

In this research paper, we solve the problem of synchronization and anti-synchronization of chaotic systems described by discrete and time-delayed variable fractional-order differential equations. To guarantee the synchronization and anti-synchroniza...

  • Feature Paper
  • Article
  • Open Access
19 Citations
3,480 Views
16 Pages

Networked control systems (NCSs) are designed to control and monitor large-scale and complex systems remotely. The communication connectivity in an NCS allows agents to quickly communicate with each other to respond to abrupt changes in the system qu...

  • Article
  • Open Access
18 Citations
5,999 Views
23 Pages

20 March 2023

Industrial processes often involve a long time delay, which adversely affects the stability of closed-loop control systems. The traditional Smith Predictor (SP) is a model-based controller used in processes with large time delays. The variation of sy...

  • Article
  • Open Access
15 Citations
3,413 Views
24 Pages

Networked Control System Based on PSO-RBF Neural Network Time-Delay Prediction Model

  • Dazhang You,
  • Yiming Lei,
  • Shan Liu,
  • Yepeng Zhang and
  • Min Zhang

30 December 2022

To satisfy the requirement of real-time and accurate control of the system, a time-delay prediction control system based on the PSO-RBF neural network model is established to solve the effect of time delay on the control system’s performance. F...

  • Article
  • Open Access
12 Citations
2,901 Views
14 Pages

Robust Adaptive Synchronization of a Class of Uncertain Chaotic Systems with Unknown Time-Delay

  • Assef Zare,
  • Seyede Zeynab Mirrezapour,
  • Majid Hallaji,
  • Afshin Shoeibi,
  • Mahboobeh Jafari,
  • Navid Ghassemi,
  • Roohallah Alizadehsani and
  • Amir Mosavi

11 December 2020

In this paper, a robust adaptive control strategy is proposed to synchronize a class of uncertain chaotic systems with unknown time delays. Using Lyapunov theory and Lipschitz conditions in chaotic systems, the necessary adaptation rules for estimati...

  • Article
  • Open Access
4 Citations
1,744 Views
24 Pages

18 January 2024

This paper investigates the observer-based adaptive fuzzy quantized control problem for a class of fractional-order nonlinear time-delay systems with unknown control gains based on a modified fractional-order dynamic surface control (FODSC) technique...

  • Article
  • Open Access
1,634 Views
17 Pages

2 December 2022

In this article, an approach to achieve the anti-disturbance fault-tolerant constrained consensus is proposed for time-delay faulty multi-agent systems under semi-Markov switching topology. Firstly, an observer based on the coupled disturbance and fa...

  • Article
  • Open Access
4 Citations
2,843 Views
26 Pages

19 October 2022

Time-delay chaotic systems with multiple positive Lyapunov exponents have been extensively studied in the field of information security. This paper proposes a new four-dimensional time-delay Lorenz system and its chaotic synchronization through the L...

  • Article
  • Open Access
1 Citations
2,774 Views
15 Pages

5 October 2021

This paper considers the problem of stabilizing switched time-delay linear systems through a state-dependent switching strategy. In contrast to the existing works, we adopt a less restrictive assumption of the system, and show that this assumption is...

  • Article
  • Open Access
3 Citations
979 Views
20 Pages

9 January 2025

This paper focuses on a class of fractional-order systems with state delays and studies the design problem of the finite-time bounded tracking controller. The error system method in preview control theory is first used. By taking fractional-order der...

  • Article
  • Open Access
3 Citations
2,753 Views
20 Pages

A New Synchronization Method for Time-Delay Fractional Complex Chaotic System and Its Application

  • Junmei Guo,
  • Chunrui Ma,
  • Xinheng Wang,
  • Fangfang Zhang,
  • Michaël Antonie van Wyk and
  • Lei Kou

18 December 2021

This paper proposes a class of time-delay fractional complex Lu¨ system and utilizes the adomian decomposition algorithm to study the dynamics of the system. Firstly, the time chaotic attractor, coexistence attractor and parameter space are studi...

  • Article
  • Open Access
5 Citations
2,221 Views
9 Pages

29 August 2022

This article studies the stability problem of linear systems with time-varying delays. First, a new negative condition is established for a class of quadratic functions whose variable is within a closed set. Then, based on this new condition, a coupl...

  • Article
  • Open Access
9 Citations
3,252 Views
14 Pages

6 November 2018

This paper focuses on the joint estimation of parameters and time-delays of the multiple-input single-output output-error systems. Since the time-delays are unknown, an effective identification model with a high dimensional and sparse parameter vecto...

  • Article
  • Open Access
2 Citations
2,016 Views
18 Pages

21 July 2023

A small deviation in the time-delay of the image tracker is essential for improving the tracking precision of an electro-optical system, and for future advances in actuator technology. The core goal of this manuscript is to address issues such as tra...

  • Article
  • Open Access
6 Citations
4,286 Views
10 Pages

26 April 2019

Time-delay chaotic systems can have hyperchaotic attractors with large numbers of positive Lyapunov exponents, and can generate highly stochastic and unpredictable time series with simple structures, which is very suitable as a secured chaotic source...

  • Article
  • Open Access
2 Citations
4,674 Views
16 Pages

27 May 2021

In multi-agent systems with increasing communication distances, the communication delay is time-varying and unbounded. In this paper, we describe the multi-agent system with increasing communication distances as the discrete-time system with non-dist...

  • Article
  • Open Access
1 Citations
2,208 Views
16 Pages

This paper presents an alternative method to solve the control problem of an uncertain nonlinear system in strict-feedback form with a time delay. Instead of using Lyapunov–Krasovskii functionals, ordinary Lyapunov functionals are used to desig...

  • Article
  • Open Access
15 Citations
3,738 Views
18 Pages

25 April 2023

This paper aims to highlight the critical role of robot manipulators in industrial applications and elucidate the challenges associated with achieving high-precision control. In particular, the detrimental effects of nonlinear friction on manipulator...

  • Article
  • Open Access
2 Citations
1,115 Views
15 Pages

20 November 2024

This paper explores the guaranteed cost control issue for singular Takagi-Sugeno (T-S) fuzzy systems with time delay. An augmented Lyapunov-Krasovskii functional (LKF) is adopted to analyze the system’s stabilization, and sufficient conditions...

  • Article
  • Open Access
1 Citations
2,737 Views
11 Pages

3 December 2019

The computation of dominant eigenvalues of second-order linear control systems with multiple time-delays is tackled by using a contour integral method. The proposed approach depends on a reduced characteristic function and the associated characterist...

  • Feature Paper
  • Article
  • Open Access
8 Citations
3,594 Views
18 Pages

11 March 2020

This paper is concerned with the problem of finite-time control for nonlinear systems with time-varying delay and exogenous disturbance, which can be represented by a Takagi–Sugeno (T-S) fuzzy model. First, by constructing a novel augmented Lya...

  • Article
  • Open Access
5 Citations
2,465 Views
14 Pages

23 May 2024

This paper investigates the stability issues of time-varying delay systems. Firstly, a novel augmented Lyapunov functional is constructed for a class of bounded time-varying delays by introducing new double integral terms. Subsequently, a time-varyin...

  • Article
  • Open Access
7 Citations
6,288 Views
20 Pages

24 June 2024

The article presents a method for tuning PI/PID regulators controlling inertial time-delayed plants. The method was formulated on the basis of direct synthesis using the FOPDT (First-Order Plus Dead-Time) and the SOPDT (Second-Order Plus Dead-Time) m...

  • Article
  • Open Access
9 Citations
2,380 Views
13 Pages

9 November 2021

This study proposes a Disturbance-improved Model-free Adaptive Prediction Control (DMFAPC) algorithm for a discrete-time nonlinear system with time delay and disturbance. The algorithm is shown to have good robustness. On the one hand, the Smith pred...

  • Article
  • Open Access
1,250 Views
29 Pages

27 September 2024

This paper derives some generalized Schur-type stability results of polynomials based on several forms and generalizations of the Eneström–Kakeya theorem combined with the Rouché theorem. It is first investigated, under sufficiency-...

  • Article
  • Open Access
22 Citations
7,211 Views
16 Pages

19 January 2015

The random time delay in a networked control system can usually deteriorate the control performance and stability of the networked control system. In order to solve this problem, this paper puts forward a networked control system random time-delay c...

  • Article
  • Open Access
5 Citations
2,813 Views
21 Pages

25 July 2020

This paper investigates the ultimately bounded filtering problem for a kind of time-delay nonlinear stochastic systems with random access protocol (RAP) and uniform quantization effects (UQEs). In order to reduce the occurrence of data conflicts, the...

  • Article
  • Open Access
14 Citations
4,035 Views
15 Pages

27 February 2022

The immune system is the body’s defense against pathogens, which are complex living organisms found in many parts in the body including organs, tissues, cells, molecules, and proteins. When the immune system works properly, it can recognize and...

  • Feature Paper
  • Article
  • Open Access
6 Citations
3,280 Views
23 Pages

7 September 2021

The immune system is a complex interconnected network consisting of many parts including organs, tissues, cells, molecules and proteins that work together to protect the body from illness when germs enter the body. An autoimmune disease is a disease...

  • Article
  • Open Access
1 Citations
1,068 Views
13 Pages

28 December 2024

This paper studies the estimation of reachable sets for discrete-time singular systems with time-varying delays and bounded peak inputs. A novel linear matrix inequality condition for the reachable set estimation of the time-varying time-delay discre...

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