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Mild Solutions of Second-Order Semilinear Impulsive Differential Inclusions in Banach Spaces [PDF]

open access: yesMathematics, 2022
In this paper, the existence of a mild solution to the Cauchy problem for impulsive semilinear second-order differential inclusion in a Banach space is investigated in the case when the nonlinear term also depends on the first derivative. This purpose is
Martina Pavlačková, Valentina Taddei
doaj   +3 more sources

Impulsive Destabilization Effect on Novel Existence of Solution and Global μ-Stability for MNNs in Quaternion Field [PDF]

open access: yesMathematics, 2023
In this paper, a novel memristor-based non-delay Hopfield neural network with impulsive effects is designed in a quaternion field. Some special inequalities, differential inclusion, Hamilton rules and impulsive system theories are utilized in this ...
Qingchao Meng, Huamin Wang
doaj   +2 more sources

Stepanov Almost Periodic Type Functions and Applications to Abstract Impulsive Volterra Integro-Differential Inclusions

open access: yesFractal and Fractional, 2023
In this paper, we analyze various classes of Stepanov-p-almost periodic functions and Stepanov-p-almost automorphic functions (p>0). The class of Stepanov-p-almost periodic (automorphic) functions in norm (p>0) is also introduced and analyzed.
Marko Kostić, Wei-Shih Du
doaj   +3 more sources

Existence of Solutions of Impulsive Partial Hyperbolic Differential Inclusion of Fractional Order [PDF]

open access: yesAppliedMath, 2023
This paper is concerned with the existence of solutions of a class of Cauchy problems for hyperbolic partial fractional differential inclusions (HPFD) involving the Caputo fractional derivative with an impulse whose right hand side is convex and non ...
Ayokunle J. Tadema, Micheal O. Ogundiran
doaj   +2 more sources

Finite-time synchronization of discontinuous fuzzy neural networks with mixed time-varying delays and impulsive disturbances [PDF]

open access: yesResults in Control and Optimization, 2023
In this paper, the finite-time synchronization issue is addressed for discontinuous fuzzy neural networks with mixed time-varying delays and impulsive disturbances.
Shuyue Zhao   +3 more
doaj   +2 more sources

POSITIONAL IMPULSE AND DISCONTINUOUS CONTROLS FOR DIFFERENTIAL INCLUSION [PDF]

open access: yesUral Mathematical Journal, 2020
Nonlinear control systems presented in the form of differential inclusions with impulse or discontinuous positional controls are investigated. The formalization of the impulse-sliding regime is carried out. In terms of the jump function of the impulse control, the differential inclusion is written for the ideal impulse-sliding regime.
Ivan A. Finogenko, Alexander N. Sesekin
openaire   +4 more sources

Novel finite and fixed-time stability theorems for fractional-order impulsive discontinuous systems and their application to multi-agent systems

open access: yesResults in Control and Optimization, 2022
This article studies the finite-time (FNT) and fixed-time (FXT) stability theorems of general fractional-order impulsive discontinuous systems (FOIDSs) through an indefinite Lyapunov functional (LF) approach.
K. Udhayakumar   +3 more
doaj   +1 more source

Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument

open access: yesResults in Control and Optimization, 2023
This manuscript is devoted to analyse the solvability and trajectory controllability of Hilfer fractional non-instantaneous impulsive stochastic differential inclusion with Clarke subdifferential and deviated argument.
N. Durga, Muslim Malik
doaj   +1 more source

APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS

open access: yesUral Mathematical Journal, 2022
Nonlinear control systems presented as differential inclusions with positional impulse controls are investigated. By such a control we mean some abstract operator with the Dirac function concentrated at each time. Such a control ("running impulse"), as a generalized function, has no meaning and is formalized as a sequence of correcting impulse actions ...
Ivan A. Finogenko, Alexander N. Sesekin
openaire   +4 more sources

SOLUTION SET FOR IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS [PDF]

open access: yesKragujevac Journal of Mathematics, 2022
This paper aims to an initial value problem for an impulsive fractional differential inclusion with the Riemann-Liouville fractional derivative. We apply Covitz and Nadler theorem concerning the study of the fixed point for multivalued maps to obtain the existence results for the given problems.
openaire   +1 more source

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