On stability and stabilization of motion with respect to a part of the variables

DOI10.1016/0021-8928(82)90053-3zbMath0539.93061OpenAlexW2052717217MaRDI QIDQ794603

V. I. Vorotnikov

Publication date: 1983

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90053-3

zbMATH Keywords

partial stabilitycomparison methodfunctional minimizationLjapunov vector functionsminimax-maximin

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Game theory (91A99) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability for nonlinear problems in mechanics (70K20) Existence of solutions for minimax problems (49J35) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• On stability of motion of linear systems with respect to a part of variables
• On the stability of motion relative to part of the variables for certain nonlinear systems
• Stability and stabilization of motion with respect to some of the variables for linear delayed systems
• Problems of control and stabilization in dynamical systems
• On complete controllability and stabilization of motion with respect to some of the variables
• The method of Ljapunov functions in the stability problem for motion with respect to a part of the variables
• The synthesis of controls optimizing the terminal state of a class of systems
• On the optimal stabilization of controlled systems
• On asymptotic stability and instability of motion with respect to a part of the variables
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