Robust stability and stabilization of uncertain fractional-order descriptor nonlinear system

Asymptotic Stability for Some Types of Nonlinear Fractional Order Differential-Algebraic Control Systems

“…2, pp: 623-638 624 fractional commensurate fractional order, via static output feedback, was studied . The stability problem of descriptor second-order systems was also considered [13]. Lyapunov equations for stability of second-order systems were established by using Lyapunov method.…”

“…The robust admissibility problem in singular fractional-order continuous time systems was also studied with a static output feedback controller that is designed for the uncertain closed-loop system to be admissible [14]. Other articles studied the robust stability and stabilization of uncertain fractional-order differential-algebraic nonlinear systems [15,13].…”

Robust stability analysis of fractional-order uncertain singular nonlinear system with external disturbance

“…However, there are many unsolved problems about stability issue, for singular systems [26][27][28]. Specially, due to the lack of appropriate mathematical methods, only few works [29][30][31] exist for the stability and stabilization topic for FO singular nonlinear systems.…”