We consider the reconstruction of signals from nonuniformly spaced samples using a projection onto convex sets (POCSs) implemented with the evolutionary time-frequency transform. Signals of practical interest have finite time support and are nearly band-limited, and as such can be better represented by Slepian functions than by sinc functions. The evolutionary spectral theory provides a time-fr...

The appointed-time leader-following consensus problem for second-order multi-agent systems with external disturbance on directed graphs is addressed. A distributed controller based the cumulative position difference and velocity proposed, which does not require prior knowledge of disturbances. It shown that proposed guarantees prescribed performance controlled systems, namely, to keep within a ...

Bending analysis of FGM plates under uniform and sinusoidal loaded result in forth order partial differential equation. In this paper the analytical solution is based on the extended Kantorovich iterative procedure. The differential equations for the iterative procedure is derived using the Galerkin method. The solution was develope based on the classical plate’s theory (CLPT). The reliability ...

Considering the unknown compound interference in manufacturing systems, finite-time tracking and synchronization performance of multi-motor system significantly affects production safety, reliability, quality, which can be considered a multi-agent with unmeasured speed uncertainty. In recent years, synchronous control schemes have grown to maturity, but research on sensorless consensus remains ...

Let M(Rd) denote the space of locally finite measures on Rd and let M1(M(Rd)) denote the space of probability measures on M(Rd). Define the mean measure πν of ν ∈M1(M(Rd)) by πν(B) = ∫ M(Rd) η(B)dν(η), for B ⊂ R. For such a measure ν with locally finite mean measure πν , let f be a nonnegative, locally bounded test function satisfying < f, πν >= ∞. ν is said to satisfy the strong law of large n...

The grid approximation of an initial-boundary value problem is considered for a singularly perturbed parabolic convection-diffusion equation with a convective flux directed from the lateral boundary inside the domain in the case when the convective flux degenerates inside the domain and the right-hand side has the first kind discontinuity on the degeneration line. The high-order derivative in t...

We study singularities of Lagrangian mean curvature flow in C when the initial condition is a zero-Maslov class Lagrangian. We start by showing that, in this setting, singularities are unavoidable. More precisely, we construct Lagrangians with arbitrarily small Lagrangian angle and Lagrangians which are Hamiltonian isotopic to a plane that, nevertheless, develop finite time singularities under ...

in this paper, a new smooth second order sliding mode control is proposed. this algorithm is a modified form of super twisting algorithm. the super twisting guarantees the asymptotic stability, but the finite time stability of proposed method is proved with introducing a new particular lyapunov function. the proposed algorithm which is able to control nonlinear systems with matched structured u...

AbstructA fixed-rate universal lossy coding scheme is introduced for independent and identically distributed (i.i.d.) sources. It is shown for finite alphabet sources and arbitrary single letter distortion measures that as the sample size T I grows the expected distortion obtained using this universal scheme converges to Shannon’s distortion rate function D ( R ) at a rate 0 (log , I / , , ) . ...

In this note we initiate the probabilistic study of the critical points of polynomials of large degree with a given distribution of roots. Namely, let f be a polynomial of degree n whose zeros are chosen IID from a probability measure μ on C. We conjecture that the zero set of f ′ always converges in distribution to μ as n → ∞. We prove this for measures with finite one-dimensional energy. When...