Neutral functional differential equations and systems of conservation laws

Control of a Time Delay System Arising From Linearized Conservation Laws

“…The form of (18) and our previous experience, e.g. [19], [52], show that the solution can be constructed by steps on intervals ((k − 1)ψ c T c , kψ c T c ), k being an integer. The construction requires however the knowledge of some initial conditions.…”

“…This consideration will also allow to associate some initial conditions to the aforementioned system of FDEs (starting from the initial conditions of (5)). Worth mentioning is that the method was successfully applied starting with the early papers [24], [33] then in several papers that followed [4], [50]- [52].…”

“…Following our experience in controlling cogeneration [4], [33], [50], [52], we associate to (43) the following Lyapunov functional…”

“…In the following we shall discuss the specific features, the advantages and the drawbacks of the proposed control structure (53) whereδ 1 ,δ 2 are taken from (52) and the linear form L(s, ζ s , φ(•)) is defined in (45), with δ 2 =δ 2 . If we refer to the standard control for steam turbines with one regulated extraction but without a long steam conduit (pipe) leading to the thermal consumer, the controller structure contains two linear controllers driven by the control errors of the rotating speed and the steam extraction pressure, in our notations -the state variables s and ζ s .…”

Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

“…Li and Kou (2009) proved the existence results for second-order impulsive neutral functional differential equations with nonlocal conditions using Sadovskii's fixed point theorem [11]. Impulsive functional differential equations of neutral type have been studied in [12,13]. However, in addition to impulsive effects, stochastic effects also exist in real systems.…”