On extension of the concept of fundamental finite control to some systems

The concept of fundamental finite control is extended to control systems which are described by relations in vectormatrix form. A structural description of blocks of the matrix for fundamental finite control is given. The concept of fundamental optimal control is introduced in matrix form for a problem with a quadratic performance criterion. For the problem of optimal control in the class of piecewise-continuous controls with a finite performance criterion a matrix of optimal fundamental control is described. An example is given.