In this paper, for the a priori knowledge of the bound on the control one is required to develop an adaptive control methodology.
The bound of (1) is known as the bound on complete burst-error correction [16].
The bound of (2) is known as the bound on almost all burst-error correction.
Simulation results show that the power efficiency of our algorithm is comparable to the bound on performance that is obtained from the one-user dynamic programming formulation.
From these conditions, LMI-based optimization problems are proposed in order to minimize the L2 gain, or in order to maximize the bound on the admissible disturbances for which the trajectories are bounded.
It can be seen that as ρ1 = ρ2 increases, the bound on R3 becomes more restrictive while the sum-rate bounds become looser; because Tx3 dedicates parts of its power for cooperation.
Thus, based on Theorem 2, we analyze the bound on the performance of the CS-NOMA scheme under imperfect CSI for bounded e k, 1≤k≤K.
Assume that a priori knowledge of the bound on the control is proposed and the finite integral of past control values is bounded by a known constant, i.e., (int_{t-tau}^{t}u(s),dsleq u_{0}).
The bound on the interval ([frac{1}{2},1)) can be obtained similarly, and thus (T(B)) is uniformly bounded. To show the equicontinuity of (T(B)), let (t_{1}, t_{2}in[0,1]) with (t_{1}< t_{2}).
Up to now, also the bound on the size of uniform EL interpolants has remained unknown.
For general d and k, the bound on aspect ratio that we attain is double-exponential in d.
