Let us consider a case where all of the elements in some continuous slices are missing in tensor data. In this case, the nuclear-norm and total variation regularization methods usually fail to recover the missing elements. The key problem is capturing some delay/shift-invariant structure. In this study, we consider a low-rank model in an embedded space of a tensor. For this purpose, we extend a...

The aim of this paper is to discuss a notion of Zero Module and Zero Dynamics for linear, time-delay systems. The Zero Module in the time-delay framework is defined using the correspondence between time-delay systems and system with coefficients in a ring, so to exploit algebraic and geometric methods. By combining the algebraic notion of Zero Module and the geometric structure of the lattice o...

This paper considers the problem of delay-dependent robust H∞ filtering for linear parameter-varying (LPV) systems with time-invariant delay in the states and outputs. It is assumed that the state-space matrices affinely depend on parameters that are measurable in real-time. By taking the relationship between the terms in the Leibniz-Newton formula and a suitable change of variables into accoun...

We present an event-triggered control strategy for stabilizing a scalar, continuous-time, time-invariant, linear system over a digital communication channel having bounded delay, and in the presence of bounded system disturbance. We propose an encoding-decoding scheme, and determine lower bounds on the packet size and on the information transmission rate which are sufficient for stabilization. ...

This paper presents H∞ control problem for input-delayed systems. A neutral system approach is considered to the design of PD controller for input delay systems in presence of uncertain time-invariant delay. Using this approach, the resulting closed-loop system turns into a specific time-delay system of neutral type. The significant specification of this neutral system is that its delayed coeff...

Abstract This article deals with approximations of center manifolds for delay stochastic differential equations additive noise. We first prove the existence and smoothness random these approximation equations. Then we show that C k {C}^{k} invariant system colored nois...

This paper is concerned with difference equation $ y(n+1) = A_ny_n+f(n, \, y_{n+\delta_n}, \lambda) infinite delay in a Banach space X $, where \delta_n ($ n\in {\mathbb Z} $) given sequence taking values \{0, 1\} and \lambda parameter. First, we construct Lipschitz invariant manifold {\mathcal M}^{\lambda} of the which consists all bounded forward solutions. Then prove that contains unique com...

We present an observer for linear time-invariant (LTI) systems with measurement delay. Our design ensures that the error converges to zero within a prescribed terminal time. To achieve this, we employ time-varying output gains approach infinity at time, which can be arbitrarily short but no shorter than sensor delay model as transport partial differential equation (PDE) and build upon cascade O...

bifurcations leading to chaos have been investigated in a number of one dimensional dynamical systems by varying the parameters incorporated within the systems. the property hyperbolicity has been studied in detail in each case which has significant characteristic behaviours for regular and chaotic evolutions. in the process, the calculations for invariant set have also been carried out. a bro...

let g_1 and g_2 be simple connected graphs with disjoint vertex sets v(g_1) and v(g_2), respectively. for given vertices a_1in v(g_1) and a_2in v(g_2), a splice of g_1 and g_2 by vertices a_1 and a_2 is defined by identifying the vertices a_1 and a_2 in the :union: of g_1 and g_2. in this paper, we present exact formulas for computing some vertex-degree-based graph invariants of splice of graphs.