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This paper describes one aspect of an overall investigation into the reactivity of cane wastes under pressurized IGGC conditions, for input into process design.
It is noted that the numerical analysis tools and computer softwares require local climatic data, and site-specific sky conditions for input parameters.
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In these papers, necessary and sufficient conditions for input-to-state stability at the equilibrium state of deterministic control systems were provided.
A necessary and sufficient condition for input identifiability for linear autonomous systems is given.
The condition for input multiplicity is obtained by inflating the state space model with a state representing the locus of the point of zero gain.
Furthermore, the upstream processes can be viewed as a set of steps whose sole purpose is to get the reactants to the correct condition for input to the reactor.
Then, for observer-based feedback control, by introducing some slack matrices, a sufficient condition for input-to-state stability (ISS) of the closed-loop system with regard to the observer error is presented.
Conditions for optimal input frequency selection are analytically derived for practical calibration applications, and numerical results highlighting the working of the proposed approach are provided.
In particular, we derive necessary and sufficient conditions for the input-output stability through the use of Nyquist-type test.
Sufficient conditions for stochastic input-to-state stability (SISS) of the stochastic nonlinear systems are developed via Lyapunov function method and linear matrix inequalities (LMIs) technique.
In particular, we first identify a simple set of necessary and sufficient conditions for both input-state stability and Lyapunov stability of the system, and then prove that the same conditions also hold when the model parameters are subject to unknown but bounded perturbations.
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