First, using Schauder fixed point theorem, we show that (if exists) a design solution for an uncertain linear system obtained by replacing the nonlinearity with a gain and a bounded disturbance is also a solution for the original problem.
Let B denote the set of values of b for which there exists a block design with b blocks and for k⩾3, let Bk denote the subset of B determined by the designs with block size k.
A well-known decomposition paradigm is used, which allows identification of weakly connected model substructures that naturally exist within a design problem and permits the division of the overall design problem into subproblems in accordance with these substructures.
Then there exists a symmetric design with parameters (4p2,2p2−p,p2−p).
In addition, there exists a best design on the thickness of the viscoelastic material core to have the maximum damping ratios.
For which n and λ does there exist a λ-fold block design with block size 4 having a metamorphosis into a λ-fold triple system?
We also consider the following two problems: (1) determine the pairs {v1,v2}⊆SG for which any two nontrivial G-designs (Vi,Bi), |Vi|= vi, i= 1,2, can be exactly embedded into a (G+e -design; (2) determine the pairs {v1,v2}⊆SG+e -design there exists a (G+e)-design of order v1+v2 exactly embedetermine nonthevial G-designs (Vi,Bi), |Vi|="vi, i="1,2.
Let Meta(G1>G2,λ) denote the set of all integers v such that there exists a (λKv,G1>G2 -design.
Let G be a connected simple graph and let SG be the spectrum of integers v for which there exists a G-design of order v. Put e="{x,y}, with x∈V(G) and y∉V(G).
There exist a large number of models designed to perform such a conversion.
