A class of nonlinear nonstationary systems of Persidskii type is studied. The right-hand sides of the systems are represented in the form of linear combinations of sector nonlinearities with time-varying coefficients. It is assumed that the coefficients possess mean values. By means of the Lyapunov direct method, it is proved that if the investigated… (More)
We consider nonlinear non-autonomous multivariable systems governed by differential equations with differentiable linear parts. Explicit conditions for the exponential stability are established. These conditions are formulated in terms of the norms of the derivatives and eigenvalues of the variable matrices, and certain scalar functions characterizing the… (More)
In the context of an unsecure transmission channel, identity-based cryptography makes it possible to implement broadcast data transfer for a large number of recipients much more effective than classical public-key cryptography. A comparative analysis of such schemes is carried out and recommendations on selecting a particular scheme based on the system… (More)
An approach to solving the problem of revocation of the signature authority of some group member in lattice-based group signature schemes has been suggested. The security of VLR schemes is based on delegating additional rights to opening manager, i.e., on checking the presence of user certificate in revocation list.
We consider a nonlinear complex (large-scale) system with time delay. It is assumed that the corresponding isolated subsystems are homogeneous, and the zero solutions of the subsystems are asymptotically stable when delay is equal to zero. By the Lyapunov direct method, and the Razumikhin approach, delay-independent stability conditions for the complex… (More)