Global finite-time observers are designed for a class of nonlinear systems that are uniformly observable and possibly non-Lipschitz. The non-Lipschitz conditions under which global finite-time observers exist are in terms of bounds of the varying rational powers of the increments of the non-Lipschitz nonlinearities. These are the same conditions under which semi-global finite-time observers wer...

In this paper, we demonstrate that anti-synchronization (AS) phenomena of chaotic systems with different dimensions can coexist in the finite-time with under the effect of both unknown model uncertainty and external disturbance. Based on the finite-time stability theory and using the master-slave system AS scheme, a generalized approach for the finite-time AS is proposed that guarantee the glob...

Nonhomogeneous systems governed by second-order linear differential equations with pure delay are considered. As an application, the exact solutions of these and their delayed matrix functions used to obtain finite-time stability results. Our results extend improve some previous removing restrictive conditions. Finally, example is provided illustrate our theoretical

the transport of dissolved contaminants in groundwater is usually described by the advectiondispersion equation with reaction. several numerical methods for solving the one-dimensional are availableincluding finite difference methods, finite volume methods, and finite element methods. stringent conditions,such as small peclet (pe) and courant (cr) numbers, must be satisfied to ensure the accura...

Finite-time stability can be used in all applications where large values of the state are not acceptable. In this paper, finite-time stability problem for a class of linear time-varying delay systems is studied. Based on Lyapunov-like functions method and using an appropriate model transformation of the original sysem, the sufficient delay-dependent finite-time stability conditions are derived....