Some results of linear fractional order time-delay system
From MaRDI portal
Publication:2479205
DOI10.1016/j.amc.2007.07.069zbMath1138.34328OpenAlexW2003829691MaRDI QIDQ2479205
Publication date: 26 March 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.07.069
existenceuniquenesstime-delayRiemann-Liouville fractional integralRiemann-Liouville fractional derivativefinite time stability
Fractional derivatives and integrals (26A33) Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05)
Related Items
Stability of the solutions for nonlinear fractional differential equations with delays and integral boundary conditions, Existence of positive solutions of nonlinear fractional delay differential equations, A numerical method for delayed fractional-order differential equations, Finite-time stability analysis of fractional singular time-delay systems, Adaptive quasi-synchronization control of heterogeneous fractional-order coupled neural networks with reaction-diffusion, Razumikhin-type stability theorems for functional fractional-order differential systems and applications, Stability of fractional nonlinear singular systems and its applications in synchronization of complex dynamical networks, Fractional integro-differential calculus and its control-theoretical applications. II. fractional dynamic systems: modeling and hardware implementation, Stability of a nonlinear non-autonomous fractional order systems with different delays and non-local conditions, Controllability criteria for linear fractional differential systems with state delay and impulses, New finite-time stability for fractional-order time-varying time-delay linear systems: a Lyapunov approach, Integral representation of solutions of fractional system with distributed delays, Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay, Weighted fractional stochastic integro-differential equation with infinite delay, On the stability of some discrete fractional nonautonomous systems, Stability of solutions to fractional differential equations with time-delays, The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay, Synchronization of nonlinear fractional order systems, Analytical and numerical methods for the stability analysis of linear fractional delay differential equations, Mittag-Leffler stability of nonlinear fractional neutral singular systems, Mittag-Leffler stability theorem for fractional nonlinear systems with delay, Unnamed Item, Some results of the degenerate fractional differential system with delay, Existence and continuous dependence for weighted fractional differential equations with infinite delay, Asymptotic stability of Caputo type fractional neutral dynamical systems with multiple discrete delays, Asymptotic properties of fractional delay differential equations, Finite-time stability of neutral fractional time-delay systems via generalized Gronwalls inequality, Periodic solutions of fractional differential equations with delay, Unnamed Item, A SEPARATION PRINCIPLE FOR THE STABILISATION OF A CLASS OF FRACTIONAL ORDER TIME DELAY NONLINEAR SYSTEMS, Observer-based robust controller design for nonlinear fractional-order uncertain systems via LMI, Existence of positive solutions to a boundary value problem for a delayed nonlinear fractional differential system, Razumikhin stability theorem for fractional systems with delay, Finite-time stability of impulsive fractional-order systems with time-delay, Robust synchronization of uncertain fractional-order chaotic systems with time-varying delay, General solution of linear fractional neutral differential difference equations, Existence of positive solutions for multiterm fractional differential equations of finite delay with polynomial coefficients, Stability analysis for fractional-order linear singular delay differential systems, Relative controllability of linear systems of fractional order with delay, The controllability of damped fractional differential system with impulses and state delay, Physical significance variable control for a class of fractional-order systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite time stability analysis of \(PD^\alpha\) fractional control of robotic time-delay systems
- On the fractional differential equations
- Theory of functional differential equations. 2nd ed
- Existence and uniqueness for a nonlinear fractional differential equation
- Positive solutions of a system of non-autonomous fractional differential equations
- Analysis of a system of fractional differential equations
- Nonlinear functional differential equations of arbitrary orders
- Analysis of fractional differential equations
