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In this paper, the problems of finite-time stability and stabilization for a class of singular time-delay systems are studied. Using the Lyapunov-like functional (LLF) with (exponential or power) weighting function and a new estimation method for the lower bound on LLF, some sufficient stability conditions are introduced. It is shown that the weighting function significantly reduces the conservatism...
This paper gives sufficient conditions for the practical and finite time stability of linear singular continuous time delay systems of the form Ex(k+1)=A0x(k)+A1x(k-h). When we consider finite time stability concept, these new, delay independent conditions are derived using approach based on Lyapunov — like functions and their properties on sub-space of consistent initial conditions.
Adsorption of Fe(III) from water was optimized using response surface methodology and artificial neural network. The initial concentration of Fe(III), contact time, and concentration of adsorbent were defined as input variables, while the percentage of adsorbed Fe(III) was labeled as output variable. Bentonite clay served as an adsorbent. The correlation coefficient, root mean square error, and mean...
The article provides sufficient conditions for both practical and finite time stability of linear continuous time delay systems described as X(t) = A0X(t) + A1X(t − τ). Considering a finite time stability concept, the new delay independent conditions have been derived using the approach based on the Lyapunov-like functions. These functions do not need to have the properties of positivity in the whole...
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