Research output: Contribution to journal › Article › peer-review
Stability analysis of nonlinear mechanical systems with delay in positional forces. / Aleksandrov, A. Y.; Aleksandrova, E. B.
In: Nonlinear Dynamics and Systems Theory, Vol. 18, No. 3, 01.01.2018, p. 225-232.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 36260059