On Identification of Nonlinear Systems by Quasilinearization Method
نویسندگان
چکیده
منابع مشابه
Generalized Quasilinearization Method for Nonlinear Functional Differential Equations
We develop a generalized quasilinearization method for nonlinear initial value problems involving functional differential equations and obtain a sequence of approximate solutions converging monotonically and quadratically to the solution of the problem. In addition, we obtain a monotone sequence of approximate solutions converging uniformly to the solution of the problem, possessing the rate of...
متن کاملIdentification of Nonlinear Systems by Volterra Systems
| In this paper the identiication of non-linear systems by Volterra Systems (VS) and a special class of VS called Linearly decomposable Volterra Systems (LDVS) is considered. The results obtained for diierent nonlinear systems with VS and LDVS are studied in detail. A clear improvement in performance is observed if a LDVS is used instead of a VS.
متن کاملQuasilinearization method and WKB
Solutions obtained by the quasilinearization method (QLM) are compared with the WKB solutions. While the WKB method generates an expansion in powers of h̄, the quasilinearization method (QLM) approaches the solution of the nonlinear equation obtained by casting the Schrödinger equation into the Riccati form by approximating nonlinear terms by a sequence of linear ones. It does not rely on the ex...
متن کاملThe Quasilinearization Method on an Unbounded Domain
We apply a method of quasilinearization to a boundary value problem for an ordinary differential equation on an unbounded domain. A uniquely determined Green’s function, which is integrable and of fixed sign, is employed. The hypotheses to apply the quasilinearization method imply uniqueness of solutions. The quasilinearization method generates a bilateral iteration scheme in which the iterates...
متن کاملQuasilinearization Approach to Nonlinear Problems in Physics
The general conditions under which the quadratic, uniform and monotonic convergence in the quasilinearization method could be proved are formulated and elaborated. The method, whose mathematical basis in physics was discussed recently by one of the present authors (VBM), approximates the solution of a nonlinear differential equation by treating the nonlinear terms as a perturbation about the li...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1971
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.7.450