On Controllability of Networked Higher Dimensional Impulsive Systems
Sign Up to like & getrecommendations! Published in 2021 at "Bulletin of The Iranian Mathematical Society"
DOI: 10.1007/s41980-020-00481-8
Abstract: This article proposes various sufficient controllability criteria for a class of networked higher dimensional systems under the influence of impulses exhibited by their state functions. The conditions obtained are characterised in terms of impulse matrices,… read more here.
Keywords: dimensional impulsive; higher dimensional; controllability networked; controllability ... See more keywords
Causal modeling in impulsive systems: A new rigorous non-standard analysis approach
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2017.01.007
Abstract: Abstract A new approach for modeling nonlinear impulsive system is suggested based on nonstandard analysis. Basic properties of the hyperreals in nonstandard analysis are revisited. Depending on the convergence rate of infinitesimals in hyperreals, a… read more here.
Keywords: systems new; analysis; impulsive systems; modeling impulsive ... See more keywords
Dwell-time-dependent stability results for impulsive systems
Sign Up to like & getrecommendations! Published in 2017 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2016.1350
Abstract: This study is concerned with the dwell-time stability for impulsive systems under periodic or aperiodic impulses. A Lyapunov-like functional approach is established to study the stability for impulsive systems. The Lyapunov-like functional is time-varying and… read more here.
Keywords: impulsive systems; time; stability results; lyapunov like ... See more keywords
Impulsive systems with growing numbers of chaotic attractors.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0102521
Abstract: Most classical chaotic systems, such as the Lorenz system and the Chua circuit, have chaotic attractors in bounded regions. This article constructs and analyzes a different kind of non-smooth impulsive systems, which have growing numbers… read more here.
Keywords: impulsive systems; chaotic attractors; numbers chaotic; growing numbers ... See more keywords
On the Controllability of Linear and Semilinear Impulsive Systems
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2017.1423327
Abstract: ABSTRACT In this paper, we establish some suļ¬cient conditions for the complete controllability of linear and semilinear impulsive systems. For the semilinear systems, we assume that nonlinearities are Lipschitzian type. We invoke the tools of… read more here.
Keywords: linear semilinear; semilinear impulsive; impulsive systems; controllability linear ... See more keywords
Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical Processes
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3150049
Abstract: Impulsive control systems have shown strong potential to represent and address challenging problems, especially in the biomedical field. In recent research, these problems have been tackled with advances in linear impulsive control systems. However, many… read more here.
Keywords: nonlinear impulsive; control systems; offset free; control ... See more keywords
Sliding Mode Control for Linear Impulsive Systems With Matched Disturbances
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2021.3129735
Abstract: This article develops the sliding mode control (SMC) strategy for linear impulsive systems with matched disturbances. Such systems describe dynamical systems that evolve according to continuous process most of the time with matched disturbances, but… read more here.
Keywords: matched disturbances; linear impulsive; sliding mode; mode control ... See more keywords
Fixed-Time Stability of Nonlinear Impulsive Systems and Its Application to Inertial Neural Networks.
Sign Up to like & getrecommendations! Published in 2022 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2022.3185664
Abstract: This article is concerned with the fixed-time stability (FTS) problem of nonlinear impulsive systems (NISs). By means of the impulsive control mechanism and Lyapunov functions theory, several sufficient conditions are established to ensure the FTS… read more here.
Keywords: nonlinear impulsive; time; neural networks; impulsive systems ... See more keywords
Replication of period-doubling route to chaos in impulsive systems
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2019.1.58
Abstract: In this study, we investigate the dynamics of impulsive systems driven by a chaotic system. It is shown that the response impulsive system replicates the sensitivity and the period-doubling cascade of the drive. Illustrative examples… read more here.
Keywords: replication period; doubling route; impulsive systems; period doubling ... See more keywords