A constructive algebraic analysis approach to Artstein's reduction of linear time-delay systems
نویسندگان
چکیده
منابع مشابه
Further Results on the Stability Analysis for Linear Discrete Time-delay Systems: Lyapunov – Algebraic Approach
In this paper, the problem of stability analysis is investigated for a particular class linear discrete time-delay systems .The criteria are derived by Lyapunov’s direct method using minimization with respect to a scalar parameter and they are expressed by norm and eigenvalue of appropriate matrices. The derived results present new delay independent stability conditions for linear discrete time...
متن کاملDelay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems
In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...
متن کاملAn Algebraic Analysis Approach to Linear Time-varying Behaviors
This paper introduces an algebraic analysis approach to time-varying systems given by linear ordinary differential equations with meromorphic coefficients. The analysis is carried out in a generic sense, i.e., the signals are considered to be smooth except for a discrete set of possible singularities. The algebra is based on a normal form for matrices over the resulting ring of differential ope...
متن کاملAn Algebraic Approach to Time-Span Reduction
In this chapter, we present an algebraic framework in which a set of simple, intuitive operations applicable to music can be flexibly combined to realize a target application and generate music. We formalize the concept of time-span tree introduced by Lerdahl and Jackendoff (1983) in their Generative Theory of Tonal Music (GTTM) and define the distance between time-span trees, on the hypothesis...
متن کاملDelay-Dependent Stability Analysis of Linear Time Delay Systems
Stability of time delay systems is investigated considering the delay-dependent case. The system without delays is assumed stable and conservative conditions are derived for finding the maximal delay that preserves stability. The problem is treated in the quadratic separation framework and the resulting criteria are formulated as feasibility problems of Linear Matrix Inequalities. The construct...
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: IFAC-PapersOnLine
سال: 2015
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2015.09.379