Formulation and solution of a generalized Chebyshev problem. I

DOI10.1134/S1063454119040137zbMath1482.70019OpenAlexW4285784319MaRDI QIDQ2212412

M. P. Yushkov

Publication date: 23 November 2020

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454119040137

zbMATH Keywords

controlgeneralized boundary value problemPontryagin's maximum principlevibration dampingnon-holonomic mechanicshigher-order constraintsgeneralized Gauss principle

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (1)

Formulation and solution of a generalized Chebyshev problem. II

Cites Work

• On vector form of differential variational principles of mechanics
• Application of the generalized Gaussian principle to the problem of damping vibrations of mechanical systems
• Equivalence of Kane's and Maggi's equations
• Motivating Kane's method for obtaining equations of motion for dynamic systems
• Mechanics of non-holonomic systems
• An Example for the Application of a Nonholonomic Constraint of Second Order in Particle Mechanics
• A Projection Method Approach to Constrained Dynamic Analysis
• A new perspective on constrained motion
• On the Geometry of Nonholonomic Dynamics
• A novel approach to suppression of oscillations
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