Exponential transients in continuous-time Liapunov systems

Exponential Transients in Continuous -

Exponential stability of some linear continuous time difference systems

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In this paper, we consider some classes of linear continuous time difference systems with discrete and distr...

Exponential Stability of Linear Systems with Multiple Time Delays

In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...

Exponential weight algorithm in continuous time

The exponential weight algorithm has been introduced in the framework of discrete time on-line problems. Given an observed process {Xm}m=1,2... the input at stage m+1 is an exponential function of the sum Sm = Pm `=1 X`. We define the analog algorithm for a continuous time process Xt and prove similar properties in terms of external or internal consistency. We then deduce results for discrete t...

External Stability and Continuous Liapunov Functions

It is well known that external stability of nonlinear input systems can be investigated by means of a suitable extension of the Liapunov functions method. We prove that a complete characterization by means of continuous Liapunov functions is actually possible, provided that the de nition of external stability is appropriately strengthened.