This paper focuses on investigating the finite-time projective synchronization of Caputo type fractional-order complex-valued neural networks with time delay (FOCVNNTD). Based properties fractional calculus and various inequality techniques, by constructing suitable Lyapunov function designing two new types controllers, i.e., feedback controller adaptive controller, sufficient criteria are deri...

We study the asymptotic behaviour, as t→∞, of bounded solutions to certain integrodifferential equations in finite dimensions which include differential equations of fractional order between 0 and 2. We derive appropriate Lyapunov functions for these equations and prove that any global bounded solution converges to a steady state of a related equation, if the nonlinear potential E occurring in ...

This paper considers a quadratic stabilization problem by an H1 controller. The controller is constructed by a linear fractional transformation on contractive time-varying gains. The controller parameterization is given in terms of contractive time-varying gains. This free parameter can be used to improve the closed-loop response. A tuning method of time-varying gains is chosen so that a Lyapun...

Dissipative wave equations with critical quintic nonlinearity and damping term involving the fractional Laplacian are considered. The additional regularity of energy solutions is established by constructing the new Lyapunov-type functional and based on this, the global well-posedness and dissipativity of the energy solutions as well as the existence of a smooth global and exponential attractors...

This study investigates the problem of finite-time boundedness a class neural networks Caputo fractional order with time delay and uncertain terms. New sufficient conditions are established by constructing suitable Lyapunov functionals to ensure that addressed fractional-order stable. Criteria for considered models also achieved. The obtained results based on newly developed property derivative...

This paper provides a new analytical robust stability checking method of fractional-order linear time invariant interval uncertain system. This paper continues the authors’ previous work (Chen et al., 2005a) where matrix perturbation theory was used. For the new robust stability checking, Lyapunov inequality is utilized for finding the maximum eigenvalue of a Hermitian matrix. Through numerical...

This paper studies a fractional-order chaotic system with sine non-linearities and highlights its dynamics using the Lyapunov spectrum, bifurcation analysis, stagnation points, solution of system, impact fractional order on etc. The considering uncertainties disturbances was synchronized dual penta-compound combination anti-synchronization among four master systems twenty slave by non-linear co...