Farges. On stability of fractional order systems. In Proc. IFAC Workshop on Fractional Differentiation and its Application, Ankara, Turkey, 2008.J. Sabatier, On stability of fractional order systems, In Plenary Lecture VIII on 3rd IFAC Workshop on Fractional Differentiation and its Applications, ...
Paw艂uszewicz, "Stability of fractional difference systems with two orders," in Advances in the Thoery and Applications of Non-Integer Order Systems, W. Mitkowski, J. Kacprzyk, and J. Baranowski, Eds., vol. 257 of Lecture Notes in Electrical Engineering, pp. 41-52, Springer, New York...
In this paper, we discuss the initial value problem and its stability for fractional autonomous order systems in the usual sense. Our result in the linear case is equivalent to the one known in literature; this establishes the mathematic technique in order to solve the problem with initial ...
Several stability criteria for this class of fractional order systems are proposed using a recently suggested generalized Gronwall inequality as well as "classical" Bellman-Gronwall inequality. Some conclusions for stability are similar to those of classical integer order differential equations. Finally, a...
Fractional-order systems Fractional-order element networks Part II Fractional-order iterative learning control Fractional-order universal adaptive control Fractional-order optimal control Mittag-Leffler stability of nonlinear systems Part III: Conclusions and Future Works ...
In this paper, we propose the definition of Mittag–Leffler stability and introduce the fractional Lyapunov direct method. Fractional comparison principle is introduced and the application of Riemann–Liouville fractional order systems is extended by using Caputo fractional order systems. Two illustrative ...
Stability analysis of fractional-order neural networks with delay is addressed in this paper. By using the contracting mapping principle, method of iteration and inequality techniques, a sufficient condition is established to ensure the existence, uniqueness and finite-time stability of the equilibrium ...
We present sufficient conditions for the preservation of stability of fractional-order systems, and then we use this result to preserve the synchronization, in a master-slave scheme, of fractional-order systems. The systems treated herein are autonomous fractional differential linear and nonlinear system...
Chen, "Robust stability bounds of uncertain fractional-order systems," Fractional Calculus and Applied Analysis, vol. 17, no. 1, 2014.Y. Ma, J.-G. Lu, W. Chen, and Y. Chen, "Robust stability bounds of uncertain fractional-order systems," Fractional Calculus and Applied Analysis, vol. ...
Robust stability and stabilization of fractional-order uncertain linear systems with order α:0<α<1 and 1α<2 are considered in the paper. A new polytopic... L Chen,R Wu,Y He,... - 《Applied Mathematics & Computation》 被引量: 199发表: 2015年 Robust stability and stabilization of frac...