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This paper considers pointwise stabilization of an Euler-Bernoulli beam equation where two kinds of feedback are jointed with each other for the arbitrary internal point in the boundary conditions. The asymptotic expressions of the eigenvalues are obtained for all sufficient large positive integers. And then the asymptotical stability and exponential stability have been analyzed by the characteristic...
This paper presents a robust controller design method for inverted pendulum with model uncertainty and output constraint via Particle Swarm Optimization (PSO) and Takagi-Sugeno (T-S) fuzzy control approach. First, the T-S fuzzy model is established for the inverted pendulum. According to the concept of parallel distributed compensation, LMI stability conditions are proposed to guarantee the T-S fuzzy...
We study the stability of an interconnected system of Euler-Bernoulli beam and heat equation with boundary coupling, where the boundary temperature of the heat equation is fed as the boundary moment of the Euler-Bernoulli beam and, in turn, the boundary angular velocity of the Euler-Bernoulli beam is fed into the boundary heat flux of the heat equation. We show that the spectrum of the closed-loop...
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