A method for performing waveform invariant time stretching and pitch shifting on a quasi harmonic and sinusoidally modeled sound is presented. The method is based on the relative phase delay representation of the phase, defined as the difference between the phase delay of the partials and the phase delay of the fundamental. This representation makes the waveform characterization independent fro...

Based on using block-pulse functions (BPFs)/shifted Legendre polynomials (SLPs) a unified approach for computing optimal control law of linear time-invariant/time-varying time-delay free/time-delay dynamic systems with quadratic performance index is discussed in this paper. The governing delay-differential equations of dynamic systems are converted into linear algebraic equations by using the o...

Motivated by the fact that delay difference inclusions (DDIs) form a rich modeling class that includes, for example, uncertain time-delay systems and certain types of networked control systems, this paper provides a comprehensive collection of Lyapunov methods for DDIs. Firstly, the Lyapunov-Krasovskii approach, which is an extension of the classical Lyapunov theory to time-delay systems, is co...

This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in Hilbert space. We not only investigate the existence of invariant measures either Wiener process or Lévy jump process, but also obtain pullback attractor under process. In particular, we prove non-trivial stationary solution which exponentially stable and generated by composition ra...

In this paper we investigate stochastic dynamics and invariant measures for 3D Lagrangian-averaged Navier–Stokes (LANS) equations driven by infinite delay additive noise. We first use Galerkin approximations, a priori estimates the standard Gronwall lemma to show well-posedness corresponding random equation, whose solution operators generate dynamical system. Next, asymptotic compactness system...

Future high-speed computer networks are projected to carry a dizzying array of stored continuous media (CM) flows emanating from sources such as digital libraries and video servers. These flows are often variable bit rate in nature and are characterized by tight delay requirements. In order to guarantee such delay requirements, the network must reserve resources at the links of the path for the...

In this paper we introduce the concept of generalized Baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. We give some inequalities for the generalized Baer-invariant of a pair of finite groups, when ? is considered to be the Schur-Baer variety. Further, we present a sufficient condition under which the order of the generalized Baer-invariant of a pair of finite ...

We consider the sudden disappearance of stable invariant tori in a delay differential equation (DDE) model of the coupled El Niño Southern Oscillation (ENSO) system. This phenomenon can be explained by the folding of invariant tori and their resonance tongues, which are associated with bifurcation structures referred to as Chenciner bubbles. We identify and analyse a Chenciner bubble and show h...