Behavioral Controllability of Delay-Differential Systems [PDF]
SIAM Journal on Control and Optimization, 1997 The authors characterize controllability of time-invariant, linear, delay-differential systems \[ R\left(\frac {d} {dt}, \Delta\right) w=0, \] where \(\Delta\) denotes the unit delay operator and \(R(\cdot,\cdot)\) denotes a 2D polynomial matrix with real coefficients.
Rocha, P, Willems, JC
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Relative Controllability of ψ-Caputo Fractional Neutral Delay Differential System
Fractal and Fractional, 2023 The aim of this work is to analyze the relative controllability and Ulamn–Hyers stability of the ψ-Caputo fractional neutral delay differential system.
Kothandapani Muthuvel +2 more
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The controllability of nonlinear fractional differential system with pure delay
Advances in Difference Equations, 2020 In this study, we are currently investigating the controllability of nonlinear fractional differential control systems with delays in the state function.
Musarrat Nawaz, Wei Jiang, Jiale Sheng
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An NPZ Model with State-Dependent Delay due to Size-Structure in Juvenile Zooplankton [PDF]
, 2015 The study of planktonic ecosystems is important as they make up the bottom trophic levels of aquatic food webs. We study a closed Nutrient-Phytoplankton-Zooplankton (NPZ) model that includes size structure in the juvenile zooplankton.
Campbell, S. A. +2 more
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Equivalence and Reduction of Delay-Differential Systems [PDF]
International Journal of Applied Mathematics and Computer Science, 2007 Equivalence and Reduction of Delay-Differential SystemsA new direct method is presented which reduces a given high-order representation of a control system with delays to a first-order form that is encountered in the study of neutral delay-differential systems.
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A system of abstract measure delay differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2003 In this paper existence and uniqueness results for an abstract measure delay differential equation are proved, by using Leray-Schauder nonlinear alternative, under Carathéodory conditions.
Bapurao Dhage +2 more
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On the Relation of Delay Equations to First-Order Hyperbolic Partial Differential Equations [PDF]
, 2013 This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations.
Karafyllis, Iasson, Krstic, Miroslav
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On the Controllability of Delay-Differential Systems [PDF]
SIAM Journal on Control, 1967 Controllability type applicable to optimal control problems for systems described by delay differential ...
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Finite Time Stability of 2D Fractional Hyperbolic System with Time Delay
Journal of Function Spaces, 2022 In this work, a class of two-dimensional fractional hyperbolic differential linear system (2D-FHDLS) with time delay is investigated. By using generalized Gronwall’s inequality, sufficient conditions for the finite time stability (FTS) of two-dimensional
Abdellatif Ben Makhlouf +3 more
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Exponential Stability for a Class of Linear Delay Differential Systems Under Logic Impulsive Control
IEEE Access, 2021 This paper is concerned with the exponential stability for a class of linear delay differential systems under logic impulsive control. Based on logic impulsive control, the strong constraint that the coefficient functions of this kind of linear delay ...
Chunxiang Li
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