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Locally positive nonlinear systems

100%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2003
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tom 13
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nr 4
505-509
EN
The notion of locally positive nonlinear time-varying linear systems is introduced. Necessary and sufficient conditions for the local positiveness of nonlinear time-varying systems are established. The concept of local reachability in the direction of a cone is introduced, and sufficient conditions for local reachability in the direction of a cone of this class of nonlinear systems are presented.
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A comparative and experimental study on gradient and genetic optimization algorithms for parameter identification of linear MIMO models of a drilling vessel

100%
Bańka S., Brasel M., Dworak P., Jaroszewski K.
International Journal of Applied Mathematics and Computer Science
|
2015
|
tom 25
|
nr 4
877-893
EN
The paper presents algorithms for parameter identification of linear vessel models being in force for the current operating point of a ship. Advantages and disadvantages of gradient and genetic algorithms in identifying the model parameters are discussed. The study is supported by presentation of identification results for a nonlinear model of a drilling vessel.
3
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Recursive identification algorithm for dynamic systems with output backlash and its convergence

100%
Dong R., Tan Q., Tan Y.
International Journal of Applied Mathematics and Computer Science
|
2009
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tom 19
|
nr 4
631-638
EN
This paper proposes a recursive identification method for systems with output backlash that can be described by a pseudoWiener model. In this method, a novel description of the nonlinear part of the system, i.e., backlash, is developed. In this case, the nonlinear system is decomposed into a piecewise linearized model. Then, a modified recursive general identification algorithm (MRGIA) is employed to estimate the parameters of the proposed model. Furthermore, the convergence of the MRGIA for the pseudo-Wiener system with backlash is analysed. Finally, a numerical example is presented.
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