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Boundedness and convergence of the closed-loop trajectories are established following the Lyapunov theoretical framework and applying LaSalle׳s stability principle.
Then, the distributed consensus problem can be solved under directed switching topology by using stability principle and the properties of stochastic matrixes.
The Liapunov function resembles the thermodynamic entropy production function and the asymptotic stability principle presented is reminiscent of the theorem of minimum entropy production.
The dispersion and stability principle of nanoparticles is analyzed by using transmission electron microscopy (TEM) and Fourier transform infrared spectroscopy (FT-IR).
This framework also allows us to prove a linear stability principle to study the bifurcations of the solutions when varying the nonlinear gain and the propagation times.
Different researchers proposed various assumptions about the transition process and derived different forms for the critical buckling loads with the energy stability principle.
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The proposed theory, derived from Lyapunov stability principles, predicts the time component of flutter, and provides a set of conditions for viscoelastic structural instabilities in general.
Symmetric forms of systems of equations describing physical phenomena present exceptional desirable properties such as symmetric coefficient matrices, well posedness of the Cauchy initial value problem, finite wave propagation speeds and a link to nonlinear stability principles.
Consequently, some novel global stability principles are given.
Consequently, some novel global input-to-state stability principles are given.
Kauffman observed that chaotic dynamics are more probable for gene networks with n p ≥ 3 [ 43, 44] and by stability principles he concluded that the average connectivity should be upper bounded by three, once the gene network could be in the frontier of chaos but not chaotic.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com