Sturm-Picone comparison theorems for nonlinear impulsive differential equations with discontinuous solutions
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4571
Abstract: The nonlinear versions of Sturm-Picone comparison theorem as well as Leighton's variational lemma and Leighton's theorem for regular and singular nonlinear impulsive differential equations with discontinuous solutions having fixed moments of impulse actions are established.… read more here.
Keywords: sturm picone; nonlinear impulsive; impulsive differential; differential equations ... See more keywords
Fixed‐time stability of nonlinear impulsive systems: Sufficient criteria and necessary condition
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.7419
Abstract: This article explores the criteria for fixed‐time stability (FxTS) within nonlinear impulsive dynamical systems, encompassing both stabilizing and destabilizing impulses. Initially, employing the Lyapunov method, the article delineates a criterion for FxTS, particularly when impulsive… read more here.
Keywords: fixed time; nonlinear impulsive; article; time stability ... See more keywords
Asymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systems
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2020.100936
Abstract: Abstract In this paper, we study asymptotic stability problem of nonlinear impulsive dynamic systems and design an impulsive controller for a chaotic system. We propose new sufficient conditions for asymptotic stability of the origin of… read more here.
Keywords: nonlinear impulsive; indefinite lyapunov; via indefinite; asymptotic stability ... See more keywords
Finite-time H∞ dynamic output feedback control for nonlinear impulsive switched systems
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2020.100975
Abstract: Abstract This paper addresses the issues of finite-time bounded (FTB) and finite-time H ∞ control for nonlinear impulsive switched systems. By constructing appropriate multiple Lyapunov functions and employing mode-dependent average dwell time (MDADT) approach, some… read more here.
Keywords: finite time; time; control nonlinear; impulsive switched ... See more keywords
Offset-Free Nonzero Tracking for Nonlinear Impulsive Systems With Application to Biomedical Processes
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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
Controllability of Nonlinear Impulsive and Switching Systems With Input Delay
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2022.3149876
Abstract: In this article, the controllability is investigated for nonlinear impulsive and switching systems with input delay. Using the fixed point method, two controllability conditions are developed for such systems under different nonlinear constraints. First, the… read more here.
Keywords: nonlinear impulsive; systems input; switching systems; impulsive switching ... See more keywords
Fixed-Time Stability of Nonlinear Impulsive Systems and Its Application to Inertial Neural Networks.
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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
Existence and multiplicity of weak solutions for a nonlinear impulsive (q,p)$(q,p)$-Laplacian dynamical system
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DOI: 10.1186/s13662-017-1145-y
Abstract: In this paper, we investigate the existence and multiplicity of nontrivial weak solutions for a class of nonlinear impulsive (q,p)$(q,p)$-Laplacian dynamical systems. The key contributions of this paper lie in (i) Exploiting the least action… read more here.
Keywords: existence multiplicity; nonlinear impulsive; system; impulsive laplacian ... See more keywords
Resonance phenomena in the second differential order equations with nonlinear impulsive effects
Sign Up to like & getrecommendations! Published in 2025 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2025.1.61
Abstract: In this paper, we discuss the resonance phenomena in linear and weakly nonlinear impulsive differential equations. Using a topological approach, we obtain the Landesman–Lazer type necessary and sufficient conditions for the existence of periodic solutions… read more here.
Keywords: differential equations; nonlinear impulsive; resonance phenomena; second differential ... See more keywords