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1-5 of 5 Reviews about "
Volterra Equations (G.1.9...)
":
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On one integral Volterra model of developing dynamical systems
Markova E., Sidorov D. Automation and Remote Control 75(3): 413-421, 2014. Type: Article
Volterra integral equations of the first kind arise naturally in the description of problems in electrical engineering, the modeling of dynamic impulse systems, nonlinear dynamic systems identification, and of many phenomena in the app...
Oct 15 2014
Selection of generalized orthonormal bases for second-order Volterra filters
Kibangou A., Favier G., Hassani M. Signal Processing 85(12): 2371-2385, 2005. Type: Article
To approximate any time-invariant (nonlinear) system with fading memory, one can use a Volterra series. Volterra series describe the output of a nonlinear system as the sum of the responses of first, second, and higher order operators....
Oct 5 2006
Volterra integral and differential equations (2nd ed.) (Mathematics in Science and Engineering)
Burton T., Elsevier Science Inc., New York, NY, 2005. 368 pp. Type: Book (9780444517869)
When I read the title of this book, I expected it to be a comprehensive treatment of the topic. After reading the first few pages, I found out that this was not what the author had in mind. Actually, the scope of the book is limited to...
Oct 24 2005
A combinatorial approach to nonlinear functional expansions
Leroux P. (ed), Viennot X. Theoretical Computer Science 79(1): 179-193, 1991. Type: Article
Consider a control system given as a Volterra functional series. Several methods exist in the literature for computing a solution: exponential inputs, association of variables, and formal power series in several noncommutative variable...
Mar 1 1992
Regularization of a Volterra integral equation by linear inequalities
Hofmann B., Wolke R., Hausding R. Computing 43(4): 361-375, 1990. Type: Article
The numerical solution of a Volterra integral equation of the first kind is a mildly ill-posed problem. To regularize it, the authors impose constraints based on the knowledge that the solution is nonincreasing and convex. Using the sp...
Mar 1 1991
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