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Moreover, the stability and stabilization results are formulated in form of matrix inequalities that are numerically feasible.
The proposed LMI stability and stabilization results are based on the use of a parameter dependent Lyapunov function and on the λ-contractivity of the associated level set to guarantee the local stability and some time performance.
We demonstrated that during TMV-Cg infection CgCP stabilizes DELLAs proteins and this stabilization results in the modulation of SA-defense signaling pathway.
Our stabilization results are also presented for general nonlinear systems.
Both regional (local) and global stabilization results are presented.
The stabilization results showed that the compaction properties improved consistently, with the addition of the QD.
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In a separate recent study, we demonstrated that the on-rate of ligands to the conformational gp120 co-receptor binding site is increased by conformational stabilization, resulting in an increase of antibodies targeted to the stabilized site [55].
We now state the main stabilization result for system (7a - 7d).
We prove an exponential stabilization result without assuming the conditions (r_{1}:=frac{G}{rho}neqfrac{D}{I_{rho}}=:r_{2}) and (k_{i}neq r_{i}), (i=1,2).
This increases C stabilization resulting in a low rate of N mineralization (Zingore et al. 2008; Materechera 2010; Wuta and Nyamugafata 2012).
Now, we present a Gronwall-type lemma (see Komornik [22], pp.124), which will play an essential role when establishing the stabilization result.
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