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Rosenbluth potentials and their derivatives are derived in the form of triple hypergeometric functions.
The stability criterion of the closed-loop system, which is dependent on the size of the time delay and the size of its derivative, is derived in the form of linear matrix inequalities (LMI).
From these networks, process models can be derived in the form of task chains.
All the proposed conditions are derived in the form of linear matrix inequalities (LMIs).
The Kalman filtering equations for the systems (1.1) and (3.1) have been derived in the form (3.2).
Based on the Lyapunov stability theory, H∞ cluster synchronization criteria are derived in the form of linear matrix inequalities.
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Then, solutions of magnetic field, eddy current, temperature change and both dynamic solutions and quasi-static ones of stresses and deformations are analytically derived in the forms including the arbitrary function.
The signature we derive in the form of gene circuits may not be complete as our results relied on the decoded genomes of bacterial strains currently available in the literature.
The results are also derived in the same form.
The governing equations are derived in the weak form using finite element method.
A theoretical union bound on the bit error rate of the HR-DSM scheme is derived in the closed form.
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