This paper investigates the inverse Lyapunov theorem for linear time invariant fractional order systems.It is proved that given any stable linear time invariant fractional order system,there exists a positive definite...This paper investigates the inverse Lyapunov theorem for linear time invariant fractional order systems.It is proved that given any stable linear time invariant fractional order system,there exists a positive definite functional with respect to the system state,and the first order time derivative of that functional is negative definite.A systematic procedure to construct such Lyapunov candidates is provided in terms of some Lyapunov functional equations.展开更多
基金supported by Fundamental Research Funds for the China Central Universities of USTB under Grant No.FRF-TP-17-088A1
文摘This paper investigates the inverse Lyapunov theorem for linear time invariant fractional order systems.It is proved that given any stable linear time invariant fractional order system,there exists a positive definite functional with respect to the system state,and the first order time derivative of that functional is negative definite.A systematic procedure to construct such Lyapunov candidates is provided in terms of some Lyapunov functional equations.
