About the generalization of the definition of uniform global controllability for the systems with locally integrable coefficients

Abstract

The classical definition of uniform global controllability was formulated for linear controllable systems with coefficients from the space . 2 L It was defined in terms of the Cauchy's matrix of such systems with zero control and matrix at control, and therefore was an effective tool for solving many applied problems. The above concept of locally integrable systems is generalized in this paper.