Sliding Motion of Discontinuous Dynamical Systems Described by Differential Algebraic Equations

نویسندگان

  • Jyoti Agrawal
  • Kannan M. Moudgalya
  • Amiya K. Pani
چکیده

Starting from the equations describing the equivalent dynamics of ordinary differential equations (ODEs), an equivalent dynamical differential algebraic equation (DAE) system is derived. It is shown that a procedure similar to the one available for ODEs can be used to construct an equivalent DAE system as well. The proposed method is shown to work with a class of discontinuous DAE systems typified by an ideal gas-liquid system and a soft drink manufacturing process.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations

In this paper we introduce some stability criteria of nonlinear hybrid systems with time delay described by impulsive hybrid fuzzy system of differential equations. Firstly, a comparison principle for fuzzy differential system based on a notion of upper quasi-monotone nondecreasing is presented. Here, for stability analysis of fuzzy dynamical systems, vector Lyapunov-like functions are defined....

متن کامل

Optimal control for holonomic and Pfaffian nonholonomic systems

Holonomic and Pfaffian nonholonomic systems are dynamical systems whose generalized coordinates and velocities are subject to smooth constraints. These systems are usually described by second order differential equations of motion and algebraic equations of constraint. We present an optimal control formulation for these systems that utilizes the multiplier rule to append both the equations of m...

متن کامل

Fractional dynamical systems: A fresh view on the local qualitative theorems

The aim of this work is to describe the qualitative behavior of the solution set of a given system of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. In order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. This is done by the extension of...

متن کامل

Continuity Properties of Nonlinear Affine Control Systems: Applications to Hybrid and Sliding Mode Dynamics

This paper focuses on the continuity and approximability properties for nonlinear affine control systems. We consider dynamical systems governed by ordinary differential equations and establish the continuity properties of the given and relaxed (in the sense of Filippov) systems with respect to controls and initial state variables. The approach based on the set-valued analysis makes it possible...

متن کامل

Maximum Number of Limit Cycles for Certain Piecewise Linear Dynamical Systems

In this paper we compute the maximum number of limit cycles of some classes of planar discontinuous piecewise linear differential systems defined in two half–planes separated by a straight line Σ. Here we only consider non–sliding limit cycles, i.e. the limit cycle does not contain any sliding segment. Among all the cases that we study, in particular, we prove that this maximum number of limit ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003