TY - JOUR

T1 - Stability and stabilization of equilibrium positions of nonlinear nonautonomous mechanical systems

AU - Aleksandrov, A. Yu

AU - Kosov, A. A.

PY - 2009/8/1

Y1 - 2009/8/1

N2 - Stability analysis methods and stabilizing controls for nonlinear nonautonomous mechanical systems are discussed. Theorems on stability of equilibrium positions in the case of essentially nonlinear positional forces are proved on the basis of decomposition of systems under study. Time estimates for transient processes are found, and the effect of nonstationary perturbations on stability of equilibrium positions is studied. The results obtained are used for solving stabilization problem for mechanical systems with regard to the structure of control forces. Situations where stabilizing controls can be constructed are determined, and the nonlinear forces that play the key role in these situations are identified.

AB - Stability analysis methods and stabilizing controls for nonlinear nonautonomous mechanical systems are discussed. Theorems on stability of equilibrium positions in the case of essentially nonlinear positional forces are proved on the basis of decomposition of systems under study. Time estimates for transient processes are found, and the effect of nonstationary perturbations on stability of equilibrium positions is studied. The results obtained are used for solving stabilization problem for mechanical systems with regard to the structure of control forces. Situations where stabilizing controls can be constructed are determined, and the nonlinear forces that play the key role in these situations are identified.

UR - http://www.scopus.com/inward/record.url?scp=69249122972&partnerID=8YFLogxK

U2 - 10.1134/S1064230709040030

DO - 10.1134/S1064230709040030

M3 - Article

AN - SCOPUS:69249122972

VL - 48

SP - 511

EP - 520

JO - Journal of Computer and Systems Sciences International

JF - Journal of Computer and Systems Sciences International

SN - 1064-2307

IS - 4

ER -