Showing papers by "Takehiro Mori published in 1987"
TL;DR: In this paper, the convergence properties of interval matrices and interval polynomials have been studied in comparison with the Hurwitz counterpart, and conditions under which the convergence property of these matrices are convergent are derived.
Abstract: In association with robust control-system design and analysis, the Hurwitz property of interval matrices and interval polynomials has recently been actively investigated. However, its discrete counterpart, the convergence property, has seemingly not been much discussed. In this paper, this property is studied in comparison with the Hurwitz counterpart. Some conditions under which interval matrices or interval polynomials are convergent are derived.
72 citations
TL;DR: In this article, the trace of the solution to the discrete algebraic matrix Riccati equation has been shown to have a bound on the number of elements in the trace, which is the smallest bound known.
Abstract: Several bounds have been reported recently for the trace of the solution to the discrete algebraic matrix Riccati equation. This note adds an alternative one to them.
34 citations
TL;DR: In this article, the trace of the solution of the Lyapunov matrix differential equation is shown to be obtained as a solution to simple scalar differential equations, and upper and lower bounds for the trace are derived.
Abstract: Upper and lower bounds for the trace of the solution of the Lyapunov matrix differential equation are derived. It is shown that they are obtained as solutions to simple scalar differential equations. As a special case, the bounds for the stationary solution give ones for the solution to the Lyapunov algebraic equation.
26 citations
10 Jun 1987
TL;DR: In this paper, an attempt is made to extend Kharitonov's theorem to cover a class of time-delay systems and the results obtained are applied to study "interval stability with respect to system parameters" of feedback control systems with a time delay element.
Abstract: Kharitonov's Theorem, shown first in a Russian literature only within this decade, gives an exact stability condition for polynomials with perturbed coefficients This theorem seems to have enormous potentialities in the analysis and design of robust control systems In this paper, an attempt is made to extend the theorem to cover a class of time-delay systems The results obtained are applied to study "interval stability with respect to system parameters" of feedback control systems with a time-delay element
22 citations
TL;DR: An advantage of the method lies in the fact that, in contrast to the existing memoryless feedback stabilization schemes, the obtained stabilizability condition is dependent of the delay, i.e., information on the delay is introduced into the stabilIZability condition.