New Schiff bases derived from 2,5-dihydroxybenzaldehyde and amino-substituted 2-phenyl-1,3-benzothiazoles. Mesogenic monomers for liquid crystalline polyethers

Russian Journal of Organic Chemistry -     

Stabilization of the Motion of Nonautonomous Polynomial Systems*

International Applied Mechanics - For non-autonomous polynomial equations, a method for designing a stabilizing control based on the direct Lyapunov method and solving an algebraic equation of high...     

Exponential stability of motion determined by two measures

The conditions of exponential (ρ{su0},ρ{su1}) of a system of differential equations modeling the motion of a system with a finite number of degrees of freedom are determined with respect to two measures. The main result is applied to a problem concerning the exponential stoppage of a mechanical system. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 3, pp. 103–107, March, 1999.     

Sufficient Stability Conditions for Polynomial Systems

International Applied Mechanics - For polynomial systems of perturbed equations of motion, a new estimate of the Lyapunov function along the solutions of the system equations is proposed. Based on...     

Estimating the Lyapunov Function and Stability of Motion of a System with Equations of Motion with an Asymptotically Expanded Right-Hand Side

International Applied Mechanics - New estimates of the Lyapunov function along the solutions of a system with an asymptotically expanded right-hand side are established. The deviation of the...     

The theory of robot stability in dynamic environment revisited

The problem of stability of a robot in a dynamic environment is solved. Sufficient stability conditions for a given programmed path of the robot are established. The effect of the dynamic environment is illustrated by three examples     

On Stability of Motion of Polynomial Systems with Aftereffect*

International Applied Mechanics - Sufficient conditions for the stability and boundedness of the solutions of a polynomial system with aftereffect are established based on new estimates of the...     

Synthesis and conformation properties of alkylene-aromatic poly(ether esters) with nonlinear hetaryl-containing mesogenic fragments in the backbone

A thermotropic mesogenic alkylene-aromatic poly(ether ester) was prepared by phase-transfer polycondensation of the azomethine derived from 5-amino-2-phenylbenzoxazole and 3,4-dihydroxybenzaldehyde with 1,6-bis(4-chlorocarbonylphenoxy)hexane in the presence of a phase-transfer catalyst, trimethylhexadecylammonium bromide. The intramolecular orientation order parameters and the angle formed by the pendant 5-imino-2-phenylbenzoxazole substituent relative to the backbone were estimated by methods of molecular hydrodynamics and optics.