Interest in studies on fractional calculus and its applications has greatly increased recent years. Fractional-order analysis the potential to enhance dynamic structure of chaotic systems. This study presents implementation a lower-order electronic circuit using standard components for Sprott K system. To our knowledge, there are no realizations literature where value fractional-order parameter...

The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are investigated. By constructing a novel switched Lyapunov–Krasovskii functional, a delay-dependent criterion for the unforced system to be regular, causal and uniformly asymptotically stable is esta...

This paper addresses the Lyapunov-based design of second-order sliding mode controllers in the domain of distributed parameter systems (DPSs). To the best of our knowledge, the recent authors’ publications (Orlov et al., 2010, Continuous state-feedback tracking of an uncertain heat diffusion process. Syst. Control Lett., 59, 754–759; Orlov et al., 2011, Exponential stabilization of the uncertai...

Behavioral system theory has been successful in providing a viewpoint that does not depend on a priori notions of inputs/outputs. While there are some attempts to extend this theory to infinite-dimensional systems, for example, delay systems, the overall picture seems to remain still incomplete. The first author has studied a class of infinite-dimensional systems called pseudorational. This cla...

In this paper, Gain-Scheduling (GS) control via parameter dependent Lyapunov function for crane is synthesized. A purpose of cranes system is to lift and carry a load to assigned positions. Cranes are required to transport the load fast, accurately and to reduce oscillations. In previous research, a method to robust control of cranes to suppress effects by variation of the rope length have been...

Funding information National Natural Science Foundation of China, Grant/Award Number: 61773081; technology transformation program of Chongqing higher education university, Grant/Award Number: KJZH17102 Summary This paper provides a time-varying feedback alternative to control of finite-time systems, which is referred to as “prescribed-time control,” exhibiting several superior features: (i) suc...

This survey paper is concerned with some of the most recent results on Lyapunov-type inequalities for fractional boundary value problems involving a variety derivative operators and conditions. Our work deals Caputo, Riemann-Liouville, ?-Caputo, ?-Hilfer, hybrid, Caputo-Fabrizio, Hadamard, Katugampola, Hilfer-Katugampola, p-Laplacian, proportional operators.