Method of Kronecker product to advanced type Riccati differential systems with strongly coupled quadratic terms
In this paper we consider a Riccati differential equation system of advanced type, strongly coupled in its quadratic terms. We reformulate it to a vector equation using the Kronecker product so that the successive approximation method is applicable. Finally, we study an iterative scheme for the prob...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2009-10, Vol.58 (8), p.1615-1622 |
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| container_issue | 8 |
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| container_title | Computers & mathematics with applications (1987) |
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| creator | Bahuguna, D. Ujlayan, A. Pandey, Dwijendra N. |
| description | In this paper we consider a Riccati differential equation system of advanced type, strongly coupled in its quadratic terms. We reformulate it to a vector equation using the Kronecker product so that the successive approximation method is applicable. Finally, we study an iterative scheme for the problem and obtain the error bounds for the given scheme. |
| doi_str_mv | 10.1016/j.camwa.2009.06.042 |
| format | Article |
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| ispartof | Computers & mathematics with applications (1987), 2009-10, Vol.58 (8), p.1615-1622 |
| issn | 0898-1221 1873-7668 |
| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; ScienceDirect Journals (5 years ago - present) |
| subjects | Control theory Coupled quadratic term Kronecker product Riccati matrix differential system Terminal value problem |
| title | Method of Kronecker product to advanced type Riccati differential systems with strongly coupled quadratic terms |
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