The polynomial approach to accessibility of nonlinear fractional order difference system

The focus of the paper are accessibility (in a finite number of steps) conditions for nonlinear control systems with the Grünwald-Letnikov fractional order h-difference operator. These conditions are presented in terms of the greatest left common divisors of shifted polynomials associated with the given system. The obtained results extend the polynomial approach to accessibility problem of nonlinear discrete-time control systems on fractional case.