TY - JOUR

T1 - Stability analysis of nonlinear mechanical systems with delay in positional forces

AU - Aleksandrov, A. Y.

AU - Aleksandrova, E. B.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The paper is devoted to the problem of delay-independent stability for a class of nonlinear mechanical systems. Mechanical systems with linear velocity forces and essentially nonlinear positional ones are studied. It is assumed that there is a delay in the positional forces. With the aid of the decomposition method and original constructions of Lyapunov–Krasovskii functionals, conditions are found under which the trivial equilibrium positions of the considered systems are asymptotically stable for any constant nonnegative delay. An example is given to demonstrate the effectiveness of the obtained results.

AB - The paper is devoted to the problem of delay-independent stability for a class of nonlinear mechanical systems. Mechanical systems with linear velocity forces and essentially nonlinear positional ones are studied. It is assumed that there is a delay in the positional forces. With the aid of the decomposition method and original constructions of Lyapunov–Krasovskii functionals, conditions are found under which the trivial equilibrium positions of the considered systems are asymptotically stable for any constant nonnegative delay. An example is given to demonstrate the effectiveness of the obtained results.

KW - Decomposition

KW - Lyapunov–Krasovskii functional

KW - Mechanical system; delay; asymptotic stability

UR - http://www.scopus.com/inward/record.url?scp=85052932519&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85052932519

VL - 18

SP - 225

EP - 232

JO - Nonlinear Dynamics and Systems Theory

JF - Nonlinear Dynamics and Systems Theory

SN - 1562-8353

IS - 3

ER -