Results 21 to 30 of about 66 (66)
Stability of equilibria in a model for electrohydraulic servosystems
, 2020 The mathematical model of an electrohydraulic servomechanism is developed and a theorem on the stability of equilibria is proved.
Andrei Halanay, Ioan Ursu
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Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay
Open MathematicsWe study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t ...
Lin Rongrui, Gao Yunlong, She Lianbing
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Absolute stability of switched lurie systems
Applied Mathematics in Science and EngineeringThis paper investigates the absolute stability problem of switched Lurie systems. Based on two new switched time-varying Lyapunov-Lurie functions, sufficient conditions for the absolute stability of the switched Lurie systems are provided under the ...
Qiang Yu, Junzhou Li, Yanping Guo
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Neural network quaternion-based controller for port-Hamiltonian system
Demonstratio MathematicaIn this research article, a control approach for port-Hamiltonian PH systems based in a neural network (NN) quaternion-based control strategy is presented. First, the dynamics is converted by the implementation of a Poisson bracket in order to facilitate
Alsaadi Fawaz E. +2 more
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On the Output Stabilizability of the Diffusion Equation
, 2020 This note is devoted to study the output stabilizability of a simplified and a one-dimensional diffusion equation. Necessary and sufficient conditions for the system to be output stabilizable will be given.
Faouzi Haddouchi
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On the stabilization of a thermoelastic laminated beam system with microtemperature effects
The present article investigates a one-dimensional thermoelastic laminated beam with microtemperature effects. Using the energy method, we prove in the case of zero thermal conductivity that the unique dissipation due to the microtemperatures is strong ...
FOUZIA, Foughali, DJELLALI, Fayssal
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Lack of Time-Delay Robustness for Stabilization of a Structural Acoustics Model
, 1999 In this paper we consider a natural robustness question for a model for structural acoustics. This model, which has been of great interest in recent years, is represented by a wave equation in R^2 coupled to a Kelvin--Voigt beam; the coupling is natural ...
Lasiecka, Irena +2 more
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New results on asymptotic stability of time-varying nonlinear systems with applications
In this paper, we present a converse Lyapunov theorem for the new notion of global generalized practical uniform h-stability of nonlinear systems of differential equations.
DAMAK, Hanen +2 more
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This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary.
BOUKHATEM, Yamna +2 more
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Output stabilization via nonlinear Luenberger observers
, 2020 . The present paper addresses the problem of the existence of an (output) feedback law that asymptotically steers to zero prescribed outputs, while keeping all state variables bounded, for any initial conditions in a given compact set. The problem can be
L Marconi, A Isidori, L Praly
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