Results 31 to 40 of about 75 (75)

Controllability of nonlocal non-autonomous neutral differential systems including non-instantaneous impulsive effects in 𝕉n

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
This manuscript involves a class of first-order controllability results for nonlocal non-autonomous neutral differential systems with non-instantaneous impulses in the space 𝕉n. Sufficient conditions guaranteeing the controllability of mild solutions are
Kavitha Velusamy, Arjunan Mani Mallika, Baleanu Dumitru   +2 more
doaj   +1 more source

Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque, Mohammad Ayman-Mursaleen, Hojjatollah Amiri Kayvanloo, Smritijit Sen   +3 more
wiley   +1 more source

Approximate controllability of neutral functional differential system with unbounded delay

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 12, Page 737-744, 2001., 2001
We consider a class of control systems governed by the neutral functional differential equation with unbounded delay and study the approximate controllability of the system. An example is given to illustrate the result.
Jong Yeoul Park, Sang Nam Kang
wiley   +1 more source

Controllability of Fractional Control Systems With Deformable Dynamics in Finite‐Dimensional Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we investigate the controllability of fractional control systems for deformable bodies in finite‐dimensional spaces. To achieve this, we employ a methodology based on the fractional exponential matrix associated with deformable bodies, the controllability Gramian matrix, and an iterative technique.
Boulkhairy Sy, Cheikh Seck, A. M. Nagy
wiley   +1 more source

Controllability of semilinear stochastic evolution equations in Hilbert space

International Journal of Stochastic Analysis, Volume 14, Issue 4, Page 329-339, 2001., 2001
Controllability of semilinear stochastic evolution equations is studied by using stochastic versions of the well‐known fixed point theorem and semigroup theory. An application to a stochastic partial differential equation is given.
P. Balasubramaniam, J. P. Dauer
wiley   +1 more source

An Analysis of Controllability Criteria for Higher‐Order Caputo Fractional Differential Systems With State and Control Delays

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The present study investigates the controllability problems for higher‐order semilinear fractional differential systems (HOSLFDSs) with state and control delays in the context of the Caputo fractional derivative. Exploiting the invertibility of the Gramian matrix of fractional order, the necessary and sufficient conditions for the controllability ...
Anjapuli Panneer Selvam, Venkatesan Govindaraj, Raaid Alubady, Sina Etemad, Deepali   +4 more
wiley   +1 more source

Local exact controllability of the age‐dependent population dynamics with diffusion

Abstract and Applied Analysis, Volume 6, Issue 6, Page 357-368, 2001., 2001
We investigate the local exact controllability of a linear age and space population dynamics model where the birth process is nonlocal. The methods we use combine the Carleman estimates for the backward adjoint system, some estimates in the theory of parabolic boundary value problems in L k and the Banach fixed point theorem.
Bedr′eddine Ainseba, Sebastian Anita
wiley   +1 more source

Investigation on the Controllability of Semilinear Integrodifferential Fractional Stochastic Control System in Conformable Sense With Impulses

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Controllability concepts have been essential across various disciplines, including control theory, engineering, and applied mathematics. According to Kalman’s definition, controllability points to the capacity to move a control system’s solution from any initial state to a desired state by a predetermined terminal time.
Maher Jneid, Guotao Wang
wiley   +1 more source

A note on controllability of semilinear integrodifferential systems in Banach spaces

International Journal of Stochastic Analysis, Volume 13, Issue 2, Page 161-170, 2000., 2000
Sufficient conditions for controllability of semilinear integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed‐point theorem.
K. Balachandran, R. Sakthivel
wiley   +1 more source

Existence and Controllability for Second‐Order Functional Differential Equations With Infinite Delay and Random Effects

International Journal of Differential Equations, Volume 2024, Issue 1, 2024.
This paper investigates the existence and controllability of second‐order functional differential equations with infinite delay, incorporating random operators. The existence of solutions is established using the Schauder fixed point theorem, ensuring that solutions exist under specified conditions.
Srinivasan Madhumitha, Tharmalingam Gunasekar, Ammar Alsinai, Prabakaran Raghavendran, Read S. A. Qahtan, Elena Kaikina   +5 more
wiley   +1 more source