In this paper, the performance of two adaptive observers applied to interconnected systems is studied. The nonlinearity of systems can be written in a fractional form. The first adaptive observer is an adaptive sliding mode observer for a Lipchitz nonlinear system and the second one is an adaptive sliding mode observer having a filtered error as a sliding surface. After comparing their performa...

non-fragile observer design is the main problem of this paper. using continuous frequency distribution, the stability conditions based on integer order lyapunov theorem are derived for lipschitz class of nonlinear fractional order systems. the proposed observer is stable beside the existence of both gain perturbation and input disturbance. for the first time, in this paper a systematic method i...

This paper is devoted to establishing local and global existence theorems for autonomous semilinear parabolic initial value problems. The local existence theorems do not require Lipchitz condition on nonlinear term. The global existence theorem is an extension of the well-known result of Fujita-Weissler for semilinear heat equations to general autonomous semilinear parabolic equations and systems.

In this study, the observer-based state feedback stabilizer design for a class of chaotic systems in existence external perturbations and Lipchitz nonlinearities is presented. This manuscript aims to controller based on observer by linear matrix inequality method. The conditions guarantee asymptotical stability system Lyapunov theorem. parameters are obtained using inequalities, which make erro...

Abstract Cauchy problems with fractal-fractional differential operators a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work. We start deriving some important inequalities, then by using linear growth Lipchitz conditions, we derive conditions under which these equations admit unique solutions. A numerical scheme was suggested for each case to so...

We study existence and uniqueness of almost automorphic solutions for nonlinear partial difference-differential equations modeled in abstract form as (∗) ∆u(n) = Au(n+ 1) + f(n, u(n)), n ∈ Z, for 0 < α ≤ 1 where A is the generator of a C0-semigroup defined on a Banach space X, ∆ denote fractional difference in Weyl-like sense and f satisfies Lipchitz conditions of global and local type. We intr...

in this paper, an observer based fuzzy adaptive controller (fac) is designed fora class of large scale systems with non-canonical non-affine nonlinear subsystems. it isassumed that functions of the subsystems and the interactions among subsystems areunknown. by constructing a new class of state observer for each follower, the proposedconsensus control method solves the problem of unmeasured sta...

We first generalize, in an abstract framework, results on the order of convergence of a semi-discretization in time by an implicit Euler scheme of a stochastic parabolic equation. In this part, all the coefficients are globally Lipchitz. The case when the nonlinearity is only locally Lipchitz is then treated. For the sake of simplicity, we restrict our attention to the Burgers equation. We are ...