ISSN:
1573-2878
Keywords:
Optimal control
;
discrete systems
;
Haar wavelets
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The state analysis and optimal control of time-varying discrete systems via Haar wavelets are the main tasks of this paper. First, we introduce the definition of discrete Haar wavelets. Then, a comparison between Haar wavelets and other orthogonal functions is given. Based upon some useful properties of the Haar wavelets, a special product matrix and a related coefficient matrix are proposed; also, a shift matrix and a summation matrix are derived. These matrices are very effective in solving our problems. The local property of the Haar wavelets is applied to shorten the calculation procedures.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1021788125013
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