Results 61 to 70 of about 188 (113)

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

© Hindawi Publishing Corp. INTEGRAL OBSERVABILITY OPERATORS OF NONLINEAR DYNAMICAL SYSTEMS [PDF]

, 2002
In terms of functional dependence, the description of observable functions in nonlinear dynamical systems, which are analytic with respect to phase variables, is obtained. For processing of measurements, integral operators are used, which provide certain
Yury V. Zaika
core  

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 results for Sobolev-type fractional impulsive stochastic differential equations with infinite delay

, 2017
In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic differential equations with infinite delay in Hilbert spaces.
A. Boudaoui, Abdeldjalil Slama
semanticscholar   +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

Exact controllability for nonlinear thermoviscoelastic plate problem

Demonstratio Mathematica
In this article, we consider a problem of exact controllability in the processes described by a nonlinear damped thermoviscoelastic plate. First, we prove the global well-posedness result for the nonlinear functions that are continuous with respect to ...
Moulahi Taoufik, Aouadi Moncef, Althobaiti Saad   +2 more
doaj   +1 more source

CONTROLLABILITY RESULTS FOR NONLINEAR IMPULSIVE FUZZY NEUTRAL INTEGRODIFFERENTIAL EVOLUTION SYSTEMS

, 2017
In this paper, author’s studied the controllability results for nonlinear fuzzy neutral integrodifferential systems. Moreover we study the fuzzy solution for the normal, convex, upper semicontinuous, and compactly supported interval fuzzy number.
B. Radhakrishan, P. Anukokila, T. Sathya
semanticscholar   +1 more source

Robustness of the controllability for the heat equation under the influence of multiple impulses and delays [PDF]

, 2018
For many control systems in real life, impulses and delays are intrinsic properties that do not modify their behavior. Thus, we conjecture that under certain conditions the abrupt changes and delays as perturbations of a system, that could model a real ...
Acosta, Antonio, Leiva, Hugo
core