Polynomial-Type Lyapunov–Krasovskii Functional and Jacobi–Bessel Inequality: Further Results on Stability Analysis of Time-Delay Systems

Huang, Yibo; He, Yong; An, Jianqi; Wu, Min

doi:10.1109/tac.2020.3013930

Cited by 86 publications

(32 citation statements)

References 19 publications

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“…However, it is important to point out that the developed control strategy is not suitable for multiagent systems [60][61][62] and time-delay systems. [63][64][65] Time-delay multiagent systems have better flexibility and wider applications. [66][67][68][69] Accordingly, the optimization control problem of time-delay multiagent systems is a focus of our future research.…”

Section: Resultsmentioning

confidence: 99%

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Event‐triggered guaranteed cost fault‐tolerant optimal tracking control for uncertain nonlinear system via adaptive dynamic programming

Guo

Yao

Bai

et al. 2021

Intl J Robust & Nonlinear

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In this article, an event-triggered guaranteed cost optimal tracking control problem is investigated for a class of uncertain nonlinear system with partial loss of actuator effectiveness faults. To begin with, an augmented system consisted of error system and reference system is constructed to simplify the tracking controller design. Then, in order to consider both actuator faults and system uncertainties in optimal tracking control, an improved discounted cost function is developed. Furthermore, a single critic neural network adaptive dynamic programming algorithm is utilized to implement the event-based approximate optimal controller design. Different from static event-triggered mechanism, the dynamic event-triggered mechanism proposed in this article with an internal dynamic signal can further improve execution efficiency. A Lyapunov-based stability analysis is given to demonstrate the uniformly ultimately bounded stability of the closed-loop system. Finally, two typical nonlinear simulations are presented to verify the developed control method.

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Section: Resultsmentioning

confidence: 99%

“…The simulation results are employed to validate the theoretical analysis. However, it is important to point out that the developed control strategy is not suitable for multiagent systems 60–62 and time‐delay systems 63–65 . Time‐delay multiagent systems have better flexibility and wider applications 66–69 .…”

Section: Resultsmentioning

confidence: 99%

Event‐triggered guaranteed cost fault‐tolerant optimal tracking control for uncertain nonlinear system via adaptive dynamic programming

Guo

Yao

Bai

et al. 2021

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…Due to their extensive application, a great amount of concern has been paid to time‐delay systems. Recently, the study of time‐delay systems has been very active, and has been deeply involved in various branches, such as stability analysis, 1‐5 robust control, 6‐10 H ∞ control, 11‐14 and passive/dissipative control 15‐18 …”

Section: Introductionmentioning

confidence: 99%

Interval stability and interval stabilization of linear stochastic systems with time‐varying delay

Zhang

Xia

Park

et al. 2021

Intl J Robust & Nonlinear

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This article first investigates the criterion of interval stability for linear stochastic systems with time‐varying delay via equivalent systems and Lyapunov–Krasovskii (L‐K) functionals. Different from existing stability conditions, the criterion of interval stability can be used to make a more accurate judgment of the stability for linear time‐delay systems. In other words, the new criterion can judge not only the stability of the system but also the speed of its convergence. Meanwhile, based on the criterion of the interval stability, the condition of interval stabilization is derived, which cannot only ensure the stability of the linear time‐delay systems, but also adjust the convergence rate of the states to the ideal level. A numerical instance is presented to illustrate the advantages of the resulting interval stabilization criterion.

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“…CPSs have high requirements on security, reliability and real-time performance, which makes this kind of systems face great challenges in practical application. The research on CPSs has been a hot topic in the field of control, such as construction of dynamic system model [6], stability analysis [7], [8], fault detection and diagnosis [9], [10], attack detection and identification [11], [12], secure state estimation [13]- [17] and security control [18]- [21]. Among them, the research on the security of CPSs has set off a great upsurge.…”

Section: Introductionmentioning

confidence: 99%

“…A resilient event-triggering scheme is used to deal with the attack problem with input delay in [32]. The existing vast methods [8], [33] on timedelay systems often need to deal with double or even multiple integral functions (or sum functions), which makes it difficult to obtain the convergence domain of states. The problem of how to choose Lyapunov functional skillfully and solve this difficulty by reasonable algorithm is still worth studying.…”

Section: Introductionmentioning

confidence: 99%

Observer Design for Cyber-Physical Systems With State Delay and Sparse Sensor Attacks

Zhang

Lin

et al. 2021

IEEE Access

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Polynomial-Type Lyapunov–Krasovskii Functional and Jacobi–Bessel Inequality: Further Results on Stability Analysis of Time-Delay Systems

Cited by 86 publications

References 19 publications

Event‐triggered guaranteed cost fault‐tolerant optimal tracking control for uncertain nonlinear system via adaptive dynamic programming

Event‐triggered guaranteed cost fault‐tolerant optimal tracking control for uncertain nonlinear system via adaptive dynamic programming

Interval stability and interval stabilization of linear stochastic systems with time‐varying delay

Observer Design for Cyber-Physical Systems With State Delay and Sparse Sensor Attacks

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