Riccati Techniques and Approximation for a Second-Order Poincaré Difference Equation
✍ Scribed by Shaozhu Chen; Chunqing Wu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 170 KB
- Volume
- 222
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
In this paper we obtain a global attractivity result for the positive equilibrium of a nonlinear second-order difference equation of the form X n + l = f ( x , , x , -l ) ,
A splitting of a third-order partial differential equation into a first-order and a second-order one is proposed as the basis for a mixed finite element method to approximate its solution. A time-continuous numerical method is described and error estimates for its solution are demonstrated. Finally,
An approximation technique is developed for the steady-state solution of the time-varying matrix Riccati equation. We show how the Newton-type algorithm of Kleinman, developed for computing the steady solution to the algebraic Riccati equation for time-invariant systems, can be extended for time-var