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REAL-TIME AUDIO SOURCE SEPARATION BY DELAY AND ATTENUATION COMPENSATION IN THE TIME DOMAIN
REAL-TIME AUDIO SOURCE SEPARATION ATTENUATION COMPENSATION TIME DOMAIN
2015/9/29
There is increased interest in using microphone arrays in a variety of audio source separation and consequently speech processing applications. In particular, small arrays of two to four microphones a...
Hopf bifurcation formula for first order differential-delay equations
Hopf bifurcation Differential delay equation DDE Retarded functional differential equation RFDE
2015/8/27
This work presents an explicit formula for determining the radius of a limit cycle which is born in a Hopf bifurcation in a class of first order constant coefficient differential-delay equations. The ...
Dynamics of a model of two delay-coupled relaxation oscillators
Coupled oscillators Devil’s Staircase Delay-differential equations
2015/8/27
This paper investigates the dynamics of a new model of two coupled relaxation oscilla-tors. The model replaces the usual DDE (differential-delay equation) formulation with a discrete-time approach wit...
Periodic motions in DDE (Differential-Delay Equations) are typically 4 created in Hopf bifurcations. In this chapter we examine this process from several 5 points of view. Firstly we use Lindstedt’s p...
Design of stablizing state feedback for delay systems via convex optimization
A linear system functional convex optimization techniques
2015/8/12
For linear systems with delays, we define a new class of Lyapunov-like functionals that may be used to prove stability. We also show how we may design a stabilizing (delayed) state feedback for delay ...
The logarithmic delay of KPP fronts in a periodic medium
logarithmic delay KPP fronts periodic medium
2015/7/14
We consider solutions of the KPP-type equations with a periodically varying reaction rate, and compactly supported initial data. It has been shown by Bramson [5, 6] in the case of the constant reactio...
Power-like delay in time inhomogeneous Fisher-KPP equations
Power-like delay time inhomogeneous Fisher-KPP equations
2015/7/14
We consider solutions of the KPP equation with a time-dependent diffusivity of the formσ(t/T). For an initial condition that is compactly supported, we show that when σ(s) is increasing in time the fr...
We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that exponential stability implies the existence of a positive Ly...
Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
Damped wave equations boundary delay global solutions exponential stability Kelvin-Voigt damping dynamic boundary conditions
2012/6/21
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the weight of the delay ter...
Existence of S-asymptotically ω-periodic solutions for abstract fractionalintegro-differential equations with infinite delay
S-asymptotically ω-periodic mild solutions Fractional integral-differential equation Solution operator Fixed point theorems
2011/10/11
In this paper, existence of S-asymptotically ω-periodic mild solutions for abstract integro-differential equationwith fractional order is considered. The main results are obtained bythe contraction ma...
Exponential Stability of Impulsive Stochastic Delay Partial Differential Equations with Poisson Jumps
impulsive stochastic differential equation exponential stability mild solution Poisson jumps
2012/9/24
Up to now, the stability problem of mild solution for the impulsive stochastic system with Poisson jumps has not been solved. In this paper, based on fixed point theory, the stability of mild solution...
The improved split-step backward Euler method for stochastic differential delay equations
split-step backward Euler method strong convergence one-sided Lipschitz condition exponential mean-square stability
2011/8/24
Abstract: A new, improved split-step backward Euler (SSBE) method is introduced and analyzed for stochastic differential delay equations(SDDEs) with generic variable delay. The method is proved to be ...
Complete chaotic synchronization and exclusion of mutual Pyragas control in two delay-coupled Rössler-type oscillators
complete synchronization time-delayed feedback control delay chaos R¨ossler model electronic circuits
2011/7/6
Two identical chaotic oscillators that are mutually coupled via time delayed signals show very complex patterns of completely synchronized dynamics including stationary states and periodic as well as ...
Stability of Impulsive Stochastic Partial Delay Differential Equations with Markovian Jumps
impulse mild solution asymptotical stability Markovian jumps
2012/9/26
Based on the fixed point theory, the asymp totical stability of mild solution to impulsive stochastic partial differential equations with infinite delays and Markovian jumps is studied. In addition, s...
Finite difference approximations for the first-order hyperbolic partial differential equation with point-wise delay
hyperbolic partial differential equation differential difference equation
2011/1/18
Explicit numerical methods based on Lax-Friedrichs and Leap-Frog finite difference approximations are constructed to find the numerical solution of the first-order hyperbolic partial differential equa...