Aane Systems in L 2 Ir D Ii:dual Systems Aane Systems in L 2 Ir D Ii:dual Systems

نویسندگان

  • Amos Ron
  • Zuowei Shen
چکیده

The berization of a ne systems via dual Gramian techniques, that was developed in previous papers of the authors, is applied here for the study of a ne frames which have an a ne dual system. Gramian techniques are also used to verify whether a dual pair of a ne frames is a also a pair of bi-orthogonal Riesz bases. A general method for a painless derivation of a dual pair of a ne frames from an arbitrary MRA is obtained via the mixed extension principle. AMS (MOS) Subject Classi cations: Primary 42C15, Secondary 42C30

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Dynamic Feedback Linearization of Four-dimensional A ne Control Systems with Two Inputs

This paper considers control aane systems in IR 4 with two inputs, and gives necessary and suucient conditions for dynamic feedback linearization of these systems with the restriction that the linearizing outputss must be some functions of the original state and inputs only. This also gives conditions for non-aane systems in IR 3. Linnarisation dynamique des systtmes deux commandes et quatre ta...

متن کامل

Compactly Supported Tight Aane Spline Frames in L 2 (ir D ) Compactly Supported Tight Aane Spline Frames in L 2 (ir D )

The theory of RS2] is applied to yield compactly supported tight aane frames (wavelets) in L 2 (IR d) from box splines. The wavelets obtained are smooth piecewise-polynomials on a simple mesh; furthermore, they exhibit a wealth of symmetries, and have a relatively small support. The number of \mother wavelets", however, increases with the increase of the required smoothness. Two bivariate const...

متن کامل

A ne systems in L 2 ( IRd ) II : dual systemsAmos

The berization of aane systems via dual Gramian techniques, that was developed in previous papers of the authors, is applied here for the study of aane frames which have an aane dual system. Gramian techniques are also used to verify whether a dual pair of aane frames is a also a pair of bi-orthogonal Riesz bases. A general method for a painless derivation of a dual pair of aane frames from an ...

متن کامل

Control Lyapunov Functions :

A control design method for nonlinear systems based on control Lyapunov functions and inverse optimality is analyzed. This method is shown to recover the LQ optimal control when applied to linear systems. More generally, it is shown to recover the optimal control whenever the level sets of the control Lyapunov function match those of the optimal value function. The method can be readily applied...

متن کامل

A ne systems in L 2 ( IRd ) : the analysis of the analysis operatorAmos

Discrete aane systems are obtained by applying dilations to a given shift-invariant system. The complicated structure of the aane system is due, rst and foremost, to the fact that it is not invariant under shifts. AAne frames carry the additional diiculty that they are \global" in nature: it is the entire interaction between the various dilation levels that determines whether the system is a fr...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997