Results 41 to 50 of about 97 (91)
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
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 +4 more
wiley +1 more source
Exact controllability for nonlinear thermoviscoelastic plate problem
Demonstratio MathematicaIn 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 +2 more
doaj +1 more source
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
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 +5 more
wiley +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S. +3 more
doaj +1 more source
Advances in Nonlinear Analysis, 2017 We establish Carleman estimates for singular/degenerate parabolic Dirichlet problems with degeneracy and singularity occurring in the interior of the spatial domain.
Fragnelli Genni, Mugnai Dimitri
doaj +1 more source
On The Controllability of Some Systems on Lie Groups
, 2022 Linear control systems on matrix Lie groups have an important place in terms of their application to real-life problems [1]. By the definition in the context of Lie groups a linear control system is determined by the pair Σ = (G, D), where the state
Duman, Okan
core