Noise-to-state stability of random impulsive delay systems with multiple random impulses

Feng, Likang; Zhang, Weihai; Wu, Zhaojing

doi:10.1016/j.amc.2022.127517

Cited by 3 publications

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition, the impulse is a sudden phenomenon generated by the interference of external complex environments, and many examples of this phenomenon can be found in real life (e.g., digital communication systems, growth of biological populations and treatment of infectious diseases). In recent decades, the research results of stability, controllability and optimal control theory for impulsive systems can be referred to References 28–32. Since the uncertain evolution of the systems may be affected by impulsive perturbations, more and more scholars have studied impulsive differential inclusion systems.…”

Section: Introductionmentioning

confidence: 99%

Iterative learning based convergence analysis for nonlinear impulsive differential inclusion systems with randomly varying trial lengths

Qiu,

Wang,

Shen

2024

Adaptive Control & Signal

View full text Add to dashboard Cite

SummaryThis paper studies the finite‐time tracking problem for nonlinear impulsive differential inclusion systems with randomly varying trial lengths. First, we convert the set‐valued mapping in the differential inclusion systems to single‐valued mapping by a Steiner‐type selector. For the tracking problem of random discontinuous output trajectories, this paper defines a piecewise continuous variable by zero‐order holder to correct the tracking error of segmented continuity. Then, we introduce the average operator with forgetting factor to design three novel learning schemes, and establish convergence results by using the mathematical analysis tools such as impulsive Gronwall inequality and ‐norm. Finally, a numerical example verifies the validity of the theoretical results, and we compare the tracking performance of the output trajectories for different forgetting factors.

show abstract

Section: Introductionmentioning

confidence: 99%

Iterative learning based convergence analysis for nonlinear impulsive differential inclusion systems with randomly varying trial lengths

Qiu,

Wang,

Shen

2024

Adaptive Control & Signal

View full text Add to dashboard Cite

show abstract

Stability criteria of random nonlinear systems with non‐instantaneous multiple impulse

Feng,

Liu,

2024

Asian Journal of Control

View full text Add to dashboard Cite

This paper comprehensively explores the stability analysis of random nonlinear systems subjected to random non‐instantaneous multiple impulses. The random non‐instantaneous multiple impulses refer to various impulsive intensities, with the type of impulse at each moment determined by a Markov chain. Drawing on the properties of stochastic processes, a series of stability criteria are developed for the random non‐instantaneous multiple impulsive systems within the constraint of fixed impulsive intervals. To validate the practicality of the proposed conceptual methods, the tracking control problem of network surface vessels under deception attacks is investigated, demonstrating feasibility through simulation results.

show abstract

Distributed sliding mode control for a class of impulsive uncertain delayed partial differential equations via sliding mode compensator approach

Xing,

Kao,

Wang

et al. 2024

European Journal of Control

View full text Add to dashboard Cite

Noise-to-state stability of random impulsive delay systems with multiple random impulses

Cited by 3 publications

References 28 publications

Iterative learning based convergence analysis for nonlinear impulsive differential inclusion systems with randomly varying trial lengths

Iterative learning based convergence analysis for nonlinear impulsive differential inclusion systems with randomly varying trial lengths

Stability criteria of random nonlinear systems with non‐instantaneous multiple impulse

Distributed sliding mode control for a class of impulsive uncertain delayed partial differential equations via sliding mode compensator approach

Contact Info

Product

Resources

About