Results 41 to 50 of about 721 (94)
, 2017 The problem of local null controllability for the control-affine nonlinear systems $\dot x(t)=f(x(t))+Bu(t)+w(t),$ $t\in[0,T]$ is considered in this paper.
Vrabel, Robert
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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
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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
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Invariant submanifolds for affine control systems
, 2019 Given an affine control system $\dot{\mathbf x} = f({\mathbf x}) + \sum_{j=1}^m g_j({\mathbf x}) u_j$ we present an algorithmic process of construction of submanifolds that are invariant under controls assuming that the linear span of $f, g_1, \ldots ...
Han, Chong-Kyu, Kim, Hyeseon
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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
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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
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Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems
, 2010 Fractional systems with Riemann-Liouville derivatives are considered. The initial memory value problem is posed and studied. We obtain explicit steering laws with respect to the values of the fractional integrals of the state variables.
Mozyrska, Dorota, Torres, Delfim F. M.
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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
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Controllability of second order semilinear ordinary differential systems in Banach spaces
International Journal of Stochastic Analysis, Volume 12, Issue 3, Page 265-277, 1999., 1998 Sufficient conditions for controllability of semilinear second order ordinary differential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results obtained are based on the Schaefer theorem.
K. Balachandran, S. Marshal Anthoni
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Remarks on the controllability of nonlinear perturbations of Volterra integrodifferential systems
International Journal of Stochastic Analysis, Volume 8, Issue 2, Page 201-208, 1995., 1995 Sufficient conditions for the complete controllability of nonlinear perturbations of Volterra integrodifferential systems with implicit derivative are established. The results generalize the results of Dauer and Balachandran [9] and are obtained through the notions of condensing map and measure of noncompactness of a set.
K. Balachandran, P. Balasubramaniam
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