By using a density technique, sufficient conditions for lower semicontinuity of strong solutions to a parametric generalized vector equilibrium problem are established, where the monotonicity is not necessary.
By using a subtle inequality, a sufficient condition ensuring robust exponential stability is obtained and the upper bounds of the allowable time delay and the neutral term contraction coefficient for global exponential stability are characterized.
In this study, reducing the levels of RNAPII subunits by using a DAmP allele was sufficient to recapitulate some of the phenotypes of the GPN2 and GPN3 mutants, suggesting that one important role for GPNs is maintaining sufficient levels of RNA polymerase subunits.
By using a properly constructed Lyapunov function, a sufficient condition is obtained in terms of linear matrix inequalities (LMIs), which can guarantee the finite-time stochastic stability, boundedness of the GRN.
By using a properly constructed Lyapunov function, a sufficient condition is derived in terms of linear matrix inequalities (LMIs), which can guarantee stochastic stabilization of the filtering error system.
The filtering error system is modeled as a Markovian switched time-delay system and by using a properly constructed Lyapunov function, sufficient conditions for the existence of the H∞ filters are presented in terms of linear matrix inequalities.
By spinoculating cells with Env-deficient, VSVg-pseudotyped virus, we ensured a synchronous, single-round infection, and by using a multiplicity of infection (MOI) sufficient to infect >90% of cells, we minimized confounding effects from bystander (uninfected) cells.
The dynamic range is shown to be sufficient even by using a 100-kHz intermediate frequency.
By using a fixed point theorem in cones, sufficient conditions are established for the existence of twin positive solutions.
By using a basis-dependent Lyapunov function approach, sufficient conditions for the existence of the H∞ filters are established.
