Chellaboina, "Stability and dissipativity
theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems," Nonlinear Analysis: Real World Applications, vol.
The topics include state estimation and SMC of Markovian jump singular systems, SMC of Markovian jump singular systems with stochastic perturbation, the stability and stabilization of switched state-delayed hybrid systems, SMC of switched state-delayed hybrid systems in continuous-time and discrete-time cases, the control of switched stochastic hybrid systems in the continuous-time and discrete-time cases, and SMC with dissipativity
of switched stochastic hybrid systems.
Tajdine, Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: dissipativity
and blow-up, J.
The above suggestion is based on the idea about the proximity of the frequencies of self-excited oscillations, characteristic of a turning system, to its natural frequencies as a result of the weak dissipativity
Thieme (14) obtained persistence under relaxed point dissipativity
in an epidemic model and derived conditions for both host and disease persistence and for host limitation by the disease.
Sufficient predicates New, necessary predicates System * Membrane * Metabolism * Composing elements * Qualitative identity * Connexions Optimal * Natural process * System economic process * Presence of the human * Optimal purpose factor Sustainable * Optimal economic * Sustainability economic process process * Moral code Logically vivid * System * Auto-poietic capacity system * Dissipativity
* Non-linearity * Invariance of the total complexity Network * System * Feed-back spontaneity * Indiscernibleness * Universal accessibility Emergence * System * Non-deliberativeness * Non-structuralness * Non-computational
We will also study further concepts which are not related to a selected solution such as contractivity and dissipativity
he examines the structure of the Levinson center of systems with the condition of hyperbolicity, the method of Lyapunov functions, and the dissipativity
of some classes of equations.
Biologically, this means that there is an upper limit on how big the densities can become; such behavior is to be expected in Lotka-Volterra systems of the kind used here where basal species are self-limiting and consumers can only increase in the presence of their victims, and we therefore assume throughout that dissipativity
Ding, "Mean-square dissipativity
of several numerical methods for stochastic differential equations with jumps," Applied Numerical Mathematics,vol.
2) allow control on the numerical stability, convergence and dissipativity
(existence of the approximate random limit cycle which has a support concentrated on an ellipse).
Basin, "Reliable filtering with strict dissipativity
for T-S fuzzy time-delay systems," IEEE Transactions on Cybernetics, vol.