To the Control Theory of the Lagrange Systems on the Basis of the Decomposition Principle

I.A. Finogenko (Russia)


Lagrange systems, control, decomposition, dry friction.


A theory of right-hand solutions for one class of differen tial equations, to which Lagrange second kind systems having discontinuous controls are reduced, is underlying. The structure of controls is defined from the solution of the problem of synthesis of control systems for mechani cal objects on the basis of the decomposition principle. An implicit method of single-valued definition of the controls at discontinuity points is proposed. General problems of existence of right-hand solutions and such their properties as uniqueness, continuation, stability, continuous depend ence on the initial states and parameters are investigated.

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