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The output feedback stabilizing controller for nonlinear fractional-order triangular systems is designed by using the Lyapunov function method. The output feedback controller is given by introducing appropriate transformations of coordinates. By means of the Lypaunov-liked method, the output feedback controller makes the closed-loop system asymptotically stable. An example is given to testify the...
The exponential stability and uniformly exponential stability of the non-autonomous systems with time delay on time scales are studied in this paper. Using the Lyapunov-Krasovskii functional approach and the Riccati technique on time scales, a sufficient condition for the exponential stability of the considered system is derived. Further, by using the Gronwall's Inequality on time scales, a sufficient...
Using the Lyapunov function method, this study investigates both state and output feedback stabilisation control design problems for fractional order non-linear systems in the lower triangular form, and presents a number of new results. First, some new properties for Caputo fractional derivative are presented. Second, by introducing appropriate transformations of coordinates, the feedback stabiliser...
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