LMI-based stabilization of a class of fractional-order chaotic systems

Robust Control of Positive Fractional‐Order Interconnected Systems with Heterogeneous Delays

“…Due to their widespread applications, for example, in mechanic, viscoelastic systems, dielectric polarization, electromagnetic waves, heat conduction or circuit systems, FO systems have been extensively studied in the past few decades [4][5][6][7]. Particularly, considerable research attention has been devoted to the problems of stability analysis [8][9][10] and controllers design including FO controllers synthesis for IO systems [11][12][13][14][15][16] and state/output feedback controllers synthesis for FO systems [17][18][19][20][21][22]. For example, based on a linear matrix inequalities (LMIs) approach, robust stability and stabilization problems were studied in [23] for FO linear systems with positive real uncertainties.…”

Stability in a Discrete Fractional Order Prey Predator System with Functional Response

“…Fractional order systems have applications in many areas of science and engineering; See for example [2,3,4]. Fractional calculus allows the operations of integration and differentiation to be applied upon any fractional order.…”

Positive solution for a coupled system of nonlinear fractional differential equations with fractional integral conditions

“…The study of the coupled system of fractional order is very significant because this kind of system can often occur in various applications. Examples include distributed order dynamical [13], duffing system [4], Lozenz systems [11], anomalous diffusion [17,21], synchronization of coupled fractional-order chaotic systems [9,10]. There are also a large number of papers investigating the solvability of coupled system of nonlinear fractional differential equations.…”