SOLVING A SYSTEM OF THE NONLINEAR EQUATIONS BY ITERATIVE DYNAMIC PROGRAMMING
سال
: 2007
چکیده: Abstract. In this paper we use iterative dynamic programming in the discrete
case to solve a wide range of the nonlinear equations systems. First,
by defining an error function, we transform the problem to an optimal control
problem in discrete case. In using iterative dynamic programming to
solve optimal control problems up to now, we have broken up the problem
into a number of stages and assumed that the performance index could
always be expressed explicitly in terms of the state variables at the last
stage. This provided a scheme where we could proceed backwards in a
systematic way, carrying out optimization at each stage. Suppose that the
performance index can not be expressed in terms of the variables at the
last stage only. In other words, suppose the performance index is also a
function of controls and variables at the other stages. Then we have a
nonseparable optimal control problem. Furthermore, we obtain the path
from the initial point up to the approximate solution.
case to solve a wide range of the nonlinear equations systems. First,
by defining an error function, we transform the problem to an optimal control
problem in discrete case. In using iterative dynamic programming to
solve optimal control problems up to now, we have broken up the problem
into a number of stages and assumed that the performance index could
always be expressed explicitly in terms of the state variables at the last
stage. This provided a scheme where we could proceed backwards in a
systematic way, carrying out optimization at each stage. Suppose that the
performance index can not be expressed in terms of the variables at the
last stage only. In other words, suppose the performance index is also a
function of controls and variables at the other stages. Then we have a
nonseparable optimal control problem. Furthermore, we obtain the path
from the initial point up to the approximate solution.
کلیدواژه(گان): Nonlinear equations system,optimal control,iterative
dynamic programming (IDP)
کالکشن
:
-
آمار بازدید
SOLVING A SYSTEM OF THE NONLINEAR EQUATIONS BY ITERATIVE DYNAMIC PROGRAMMING
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| contributor author | سهراب عفتی | en |
| contributor author | Sohrab Effati | fa |
| date accessioned | 2020-06-06T13:50:53Z | |
| date available | 2020-06-06T13:50:53Z | |
| date issued | 2007 | |
| identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3371680 | |
| description abstract | Abstract. In this paper we use iterative dynamic programming in the discrete case to solve a wide range of the nonlinear equations systems. First, by defining an error function, we transform the problem to an optimal control problem in discrete case. In using iterative dynamic programming to solve optimal control problems up to now, we have broken up the problem into a number of stages and assumed that the performance index could always be expressed explicitly in terms of the state variables at the last stage. This provided a scheme where we could proceed backwards in a systematic way, carrying out optimization at each stage. Suppose that the performance index can not be expressed in terms of the variables at the last stage only. In other words, suppose the performance index is also a function of controls and variables at the other stages. Then we have a nonseparable optimal control problem. Furthermore, we obtain the path from the initial point up to the approximate solution. | en |
| language | English | |
| title | SOLVING A SYSTEM OF THE NONLINEAR EQUATIONS BY ITERATIVE DYNAMIC PROGRAMMING | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Nonlinear equations system | en |
| subject keywords | optimal control | en |
| subject keywords | iterative dynamic programming (IDP) | en |
| journal title | Journal of Applied Mathematics and Computing | fa |
| journal volume | 0 | |
| journal issue | 0 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1009387.html | |
| identifier articleid | 1009387 |