CSOIS Interval computation technical report series-3: Linear Independency of Interval Vectors and Its Applications to Robust Controllability Tests
نویسندگان
چکیده
In this report, we define linear dependency and independency of the interval vectors and present an effective method for checking the linear independency of interval vectors. As a possible application of the interval vectors to the robust control problem, the robust controllability and un-controllability problems of uncertain interval system are solved. Through the numerical examples and by comparing with the existing results, the superiority of our new robust controllability test method is presented.
منابع مشابه
Linear Dependency and Independency of Interval Vectors: Theory and Its Applications to Robust Controllability Test
To the best knowledge of authors, none of existing literatures is available for the linear independency test of interval vectors. In this note, we present an effective way for checking the linear independency of interval vectors and its possible application to the robust control problem, for example in this note, for solve the robust controllability test and robust observability test of uncerta...
متن کاملCSOIS Interval computation technical report series-4: New Sufficient Schur Stability Conditions of Interval Polynomial Matrix
This report presents a new analytic method for checking the Schur stability of interval polynomial matrix (polynomials whose coefficients are interval matrices). In the suggested method, the interval Markov matrices of the interval polynomial matrix are used to assess its stability. The validity of the suggested method is illustrated through numerical examples. The proposed technique is algebra...
متن کاملCSOIS Interval computation technical report series-1: Exact boundary calculation of maximum singular value of an interval matrix
In this report, we present a method for calculating maximum singular value of an interval matrix. First, we provide an algorithm for calculating the maximum singular value of a square interval matrix. Then, based on this algorithm, we extend the result to non-square interval matrix case. Through numerical examples, the validity of the suggested method is illustrated.
متن کاملCSOIS Interval computation technical report series-2: Impulse response boundary calculation based on power of interval matrix
In this report, the impulse response boundary of discrete-time, linear, time-invariant systems with interval uncertainty is studied. The key problem of determining the impulse response of such systems is to find the boundaries of the power of an interval matrix at a specified order. To estimate the bounds of the power of an interval matrix, interval perturbation theory is used. Two different me...
متن کاملRobust controllability of interval fractional order linear time invariant systems
We consider uncertain fractional-order linear time invariant (FO-LTI) systems with interval coefficients. Our focus is on the robust controllability issue for interval FO-LTI systems in statespace form. We re-visited the controllability problem for the case when there is no interval uncertainty. It turns out that the stability check for FO-LTI systems amounts to checking the conventional intege...
متن کامل