Results 21 to 30 of about 1,207 (185)
Recovery problem for a singularly perturbed differential equation with an initial jump
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 The article investigates the asymptotic behavior of the solution to reconstructing the boundary conditions and the right-hand side for second-order differential equations with a small parameter at the highest derivative, which have an initial jump ...
D.N. Nurgabyl, S.S. Nazhim
doaj +1 more source
Ain Shams Engineering Journal, 2017 This paper deals with singularly perturbed boundary value problem for a linear second order delay differential equation. It is known that the classical numerical methods are not satisfactory when applied to solve singularly perturbed problems in delay ...
P. Pramod Chakravarthy +2 more
doaj +1 more source
Ain Shams Engineering Journal, 2018 In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
doaj +1 more source
Journal of Applied Mathematics, 2014 We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface ...
Changming Song, Jina Li, Ran Gao
doaj +1 more source
Mathematics, 2021 This paper proves that the controller design for switched singularly perturbed systems can be synthesized from the controllers of individual slow–fast subsystems. Under the switching rules of individual slow–fast subsystems, switched singularly perturbed
Chun-Tang Chao +2 more
doaj +1 more source
Singularly Perturbed Networked Control Systems
IFAC-PapersOnLine, 2018 We study networked control systems (NCSs) where the controller is given by a state-feedback law and the plant is modeled by a dynamical system evolving on two time-scales, representing a characterization by some slow and fast dynamics. When using the stability analysis frameworks for NCSs from the literature, this time-scale separation is ignored and ...
Heijmans, SHJ +3 more
openaire +3 more sources
Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations
Abstract and Applied Analysis, 2013 This paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations.
Şuayip Yüzbaşı, Mehmet Sezer
doaj +1 more source
Singularly perturbed rank one linear operators
Математичні Студії, 2021 The basic principles of the theory of singularly perturbed self-adjoint operators are generalized to the case of closed linear operators with non-symmetric perturbation of rank one.
M.E. Dudkin, O. Yu. Dyuzhenkova
doaj +1 more source
Input-to-State Stability of Singularly Perturbed Control Systems with Delays
Journal of Applied Mathematics, 2013 We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly ...
Yongxiang Zhao, Aiguo Xiao, Li Li
doaj +1 more source
Axioms, 2019 The problem of complete controllability of a linear time-invariant singularly-perturbed system with multiple commensurate non-small delays in the slow state variables is considered.
Olga Tsekhan
doaj +1 more source