An ordinary differential equation homeomorphic with an essential control system
نویسندگان
چکیده
منابع مشابه
Estimating an Ordinary Differential Equation Model With Partially Observed Data
Ordinary differential equation (ODE) models, e.g. the susceptible-infected-recovered model, are widely used in engineering, ecology, and epidemiology. Many ODE models
متن کاملAn efficient numerical method for singularly perturbed second order ordinary differential equation
In this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. A fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. Thomas algorithm is used to solve the tri-diagonal system. The stability of the algorithm is investigated. It ...
متن کاملAn autonomous system of ordinary differential equations
This is a translation of the second (1949) Russian edition. There are four chapters, a bibliography and index to part one. Chapter one is on existence and continuity theorems. It contains existence and uniqueness theorems for real systems and includes dependence on initial conditions, but not on parameters. The last section is on fields of lineal elements. Chapter two is on systems of two diffe...
متن کاملLyapunov stability analysis of a string equation coupled with an ordinary differential system
This paper considers the stability problem of a linear time invariant system in feedback with a string equation. A new Lyapunov functional candidate is proposed based on the use of augmented states which enriches and encompasses the classical Lyapunov functional proposed in the literature. It results in tractable stability conditions expressed in terms of linear matrix inequalities. This method...
متن کاملEssential Components of an Algebraic Differential Equation
We present an algorithm to determine the set of essential singular solutions of a differential equation. Essential singular solutions can be informally described as follows: the general solution of a differential equation is usually described as a solution depending on a number of arbitrary constants equal to the order of the differential equation. The essential singular solutions are those tha...
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: Annales Polonici Mathematici
سال: 1972
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-25-3-249-263