Robustness research of interval dynamic systems by algebraic method
نویسندگان
چکیده
منابع مشابه
Algebraic Solving of Complex Interval Linear Systems by Limiting Factors
In this work, we propose a simple method for obtaining the algebraic solution of a complex interval linear system where coefficient matrix is a complex matrix and the right-hand-side vector is a complex interval vector. We first use a complex interval version of the Doolittle decomposition method and then we restrict the Doolittle's solution, by complex limiting factors, to achieve a complex in...
متن کاملAlgebraic Method of the Robust Stability of Interval Dynamic Systems
The algebraic method of researches of robust stability is considered of continuous and discrete interval dynamic systems. The results specifying and supplementing earlier known are received. The illustrating examples are given.
متن کاملAn Algebraic Method for Analyzing Open-Loop Dynamic Systems
This paper reports on the results of combining the Maple packages Dynaflex and RifSimp. The Dynaflex package has been developed to generate the governing dynamical equations for mechanical systems; the RifSimp package has been developed for the symbolic analysis of differential equations. We show that the output equations from Dynaflex can be converted into a form which can be analyzed by RifSi...
متن کاملRobustness of Dynamic Systems with Parameter Uncertainties
In this paper Kharitonov's theorem for the robust stability'.df kterval , polynomials is proved using the second method of Lyapunov. The Hermi+' matfi is taken as the matrix of the form which is used as a Lyapunov funct i i tq prove B m i B stability. It is shorn that if the four Hermite matrices eorrespqndmg; to the four Xharitonov extreme pobmomials are positive definite, the Hermitemhtriw of...
متن کاملRobustness of Dynamic Systems with Parameter Uncertainties
In this paper Kharitonov's theorem for the robust stability of interval polynomials is proved using the second method of Lyapunov. The Hermite matrix is taken as the matrix of the quadratic form which is used as a Lyapunov function to prove Hurwitz stability. I t is shown that if the four Hermite matrices corresponding to the four Kharitonov extreme polynomials are positive definite, the Hermit...
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: Scientific and Technical Journal of Information Technologies, Mechanics and Optics
سال: 2020
ISSN: 2226-1494
DOI: 10.17586/2226-1494-2020-20-3-364-370