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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