Analysis of stability problems via matrix Lyapunov functions
نویسندگان
چکیده
منابع مشابه
Stability analysis of fractional-order nonlinear Systems via Lyapunov method
In this paper, we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov method. To examine the obtained results, we employe the developed techniques on test examples.
متن کاملStability analysis of 2D Roesser systems via vector Lyapunov functions ?
The paper gives new results that contribute to the development of a stability theory for 2D nonlinear discrete and differential systems described by a state-space model of the Roesser form using an extension of Lyapunov’s method. One of the main difficulties in using such an approach is that the full derivative or its discrete counterpart along the trajectories cannot be obtained without explic...
متن کاملstability analysis of fractional-order nonlinear systems via lyapunov method
in this paper, we study stability of fractional-order nonlinear dynamic systems by means of lyapunov method. to examine the obtained results, we employe the developed techniques on test examples.
متن کاملExtension of Higher Order Derivatives of Lyapunov Functions in Stability Analysis of Nonlinear Systems
The Lyapunov stability method is the most popular and applicable stability analysis tool of nonlinear dynamic systems. However, there are some bottlenecks in the Lyapunov method, such as need for negative definiteness of the Lyapunov function derivative in the direction of the system’s solutions. In this paper, we develop a new theorem to dispense the need for negative definite-ness of Lyapunov...
متن کاملStructured and Simultaneous Lyapunov Functions for System Stability Problems
It is shown that many system stability and robustness problems can be reduced to the question of when there is a quadratic Lyapunov function of a certain structure which establishes stability of ẋ = Ax for some appropriate A. The existence of such a Lyapunov function can be determined by solving a convex program. We present several numerical methods for these optimization problems. A simple num...
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: Journal of Applied Mathematics and Stochastic Analysis
سال: 1990
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s104895339000020x