In this study, we address a Cauchy problem within the context of the one-dimensional Timoshenko system, incorporating a distributed delay term. The heat conduction aspect is described by the Lord-Shulman theory.
Choucha Abdelbaki+3 more
doaj +1 more source
Equivalence of robust stabilization and robust performance via feedback
One approach to robust control for linear plants with structured uncertainty as well as for linear parameter-varying (LPV) plants (where the controller has on-line access to the varying plant parameters) is through linear-fractional-transformation (LFT ...
Ball, J. A.+3 more
core +1 more source
On Stability of Hyperbolic Thermoelastic Reissner-Mindlin-Timoshenko Plates
In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo's law. In the absense of any additional mechanical dissipations, the system is often not even strongly
Pokojovy, Michael
core +1 more source
Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay
We 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
doaj +1 more source
A generalized chordal metric making strong stabilizability a robust property [PDF]
An abstract chordal metric is defined on linear control systems described by their transfer functions. Analogous to a previous result due to Jonathan Partington ("Robust control and approximation in the chordal metric", in Robust Control, LNCIS 183 ...
Sasane, Amol
core
Neural network quaternion-based controller for port-Hamiltonian system
In 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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Boundary stabilization and control of wave equations by means of a general multiplier method
We describe a general multiplier method to obtain boundary stabilization of the wave equation by means of a (linear or quasi-linear) Neumann feedback. This also enables us to get Dirichlet boundary control of the wave equation.
Cornilleau, Pierre, Loheac, Jean-Pierre
core +1 more source
Quantitative unique continuation for the linear coupled heat equations. [PDF]
Zheng G, Li K, Li J.
europepmc +1 more source
Boundedness, persistence and stability for classes of forced difference equations arising in population ecology. [PDF]
Franco D+3 more
europepmc +1 more source
Robust set-point regulation for ecological models with multiple management goals. [PDF]
Guiver C+3 more
europepmc +1 more source