Author
Takehiro Mori
Other affiliations: Kyoto Institute of Technology
Bio: Takehiro Mori is an academic researcher from Kyoto University. The author has contributed to research in topics: Lyapunov equation & Matrix differential equation. The author has an hindex of 14, co-authored 67 publications receiving 717 citations. Previous affiliations of Takehiro Mori include Kyoto Institute of Technology.
Papers published on a yearly basis
Papers
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TL;DR: In this article, a stability criterion for linear time-delay systems described by a differential difference equation of the form dx(t)=Ax(t)+Bx(t- tau ) is proposed.
Abstract: A stability criterion for linear time-delay systems described by a differential difference equation of the form dx(t)=Ax(t)+Bx(t- tau ) is proposed. The result obtained includes information on the size of the delay and therefore can be a delay-dependent stability condition. Its relation to existing delay-independent stability criteria is also discussed. >
194 citations
TL;DR: In this paper, sufficient conditions for stability of linear discrete-delay systems are derived, and these conditions are independent of the delay and possess simple forms, they will provide useful tools to check stability of the systems at the first stage.
Abstract: Several sufficient conditions for stability of linear discrete-delay systems are derived. Since these conditions are independent of the delay and possess simple forms, they will provide useful tools to check stability of the systems at the first stage.
86 citations
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, an explicit solution to the algebraic Lyapunov matrix equation is obtained in terms of the controllability matrix of the pair of coefficient matrices, which enables us to determine the number of positive eigenvalues of the positive semidefinite solution through the covariance matrix.
Abstract: An explicit solution to the algebraic Lyapunov matrix equation is obtained in terms of the controllability matrix of the pair of coefficient matrices. This enables us to determine the number of positive eigenvalues of the positive semidefinite solution through the controllability matrix. Based on this explicit formula, upper and lower bounds for each eigenvalue of the solution are derived, which always give nontrivial estimates.
39 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
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Book•
26 Jun 2003
TL;DR: Preface, Notations 1.Introduction to Time-Delay Systems I.Robust Stability Analysis II.Input-output stability A.LMI and Quadratic Integral Inequalities Bibliography Index
Abstract: Preface, Notations 1.Introduction to Time-Delay Systems I.Frequency-Domain Approach 2.Systems with Commensurate Delays 3.Systems withIncommensurate Delays 4.Robust Stability Analysis II.Time Domain Approach 5.Systems with Single Delay 6.Robust Stability Analysis 7.Systems with Multiple and Distributed Delays III.Input-Output Approach 8.Input-output stability A.Matrix Facts B.LMI and Quadratic Integral Inequalities Bibliography Index
4,200 citations
TL;DR: In this paper, the authors survey three basic problems regarding stability and design of switched systems, including stability for arbitrary switching sequences, stability for certain useful classes of switching sequences and construction of stabilizing switching sequences.
Abstract: By a switched system, we mean a hybrid dynamical system consisting of a family of continuous-time subsystems and a rule that orchestrates the switching between them. The article surveys developments in three basic problems regarding stability and design of switched systems. These problems are: stability for arbitrary switching sequences, stability for certain useful classes of switching sequences, and construction of stabilizing switching sequences. We also provide motivation for studying these problems by discussing how they arise in connection with various questions of interest in control theory and applications.
3,566 citations
2,618 citations
TL;DR: In this paper, the authors deal with the problem of robust stability analysis and robust stabilization for a class of uncertain linear systems with a time-varying state delay, where the uncertainty is assumed to be norm-bounded and appears in all the matrices of the state space model.
506 citations
TL;DR: In this article, the authors consider the replay attackers who maliciously repeat the messages sent from the operator to the actuator and propose a variation of the receding-horizon control law to deal with the replay attacks.
Abstract: This technical note studies a resilient control problem for discrete-time, linear time-invariant systems subject to state and input constraints. State measurements and control commands are transmitted over a communication network and could be corrupted by adversaries. In particular, we consider the replay attackers who maliciously repeat the messages sent from the operator to the actuator. We propose a variation of the receding-horizon control law to deal with the replay attacks and analyze the resulting system performance degradation. A class of competitive (resp. cooperative) resource allocation problems for resilient networked control systems is also investigated.
368 citations