CLASSICAL AND HIGHER SYMMETRIES OF CONTROL SYSTEMS
Authors: V. N. CHETVERIKOV, A. N. KANATNIKOV, A. P. KRISHCHENKO
Classical and higher infinitesimal symmetries
of control systems are studied. Defining equations for classical external symmetries
are obtained in the general and affine cases.
For computing higher symmetries we suggest a simple procedure
involving algebraic operations and differentiation but not integration.
Relations between classical symmetries and
first integrals of control systems are established.
An example is considered to illustrate our methods.
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