In this paper, a general approach to nonlinear control synthesis for power-flow-constrained energy harvesters is presented, which is analytically guaranteed to outperform the optimal static admittance in stationary stochastic response.
After all, isn't the point of imagined possible cases precisely to show us that certain scenarios are not ruled out by the structure of our concepts, and thereby that certain philosophical theses are not analytically guaranteed?
It constructs a contention-free network, scaling logarithmically with the number of radar nodes, and analytically guarantees a provable fraction of the maximum throughput achieved by any optimal centralized allocation algorithm.
The strategy allows for the reference model to be smooth or piecewise-affine and is shown analytically to guarantee asymptotic tracking of the reference model trajectories without requiring a priori knowledge of the plant matrices.
All the spatial and temporal integrations can be performed analytically, which guarantees the accuracy of the method and the stability of the numerical procedure.
Furthermore, based on the Lyapunov stability theory, a sufficient condition for chaos synchronization is derived analytically, which guarantees that the system with fully uncertain parameters and the controlled system achieve chaos synchronization.
In addition, we analytically determined the boundary for the tissue growth rate to guarantee the stability of the remodeling.
The controller suggested in this paper can analytically prescribe the upper and lower bounds of parameter uncertainties, and guarantee the closed-loop robust stability of the system in the presence of actuator's saturation.
We analytically derive the conditions guaranteeing the existence and uniqueness of the classical solution by means of the Schauder fixed point theorem, and further study the long-time behaviours of these two species.
The frequency components of the non-linear restoring force part are analytically expressed from those of the displacement part, using the Galerkin technique to guarantee a convergent solution.
We analytically show that when the number of users goes to infinity the energy required to guarantee the required user rates can be made as small as required at the cost of a higher delay "delay-energy tradeoff".
