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A new stability condition in terms of LMIs is studied in this paper. Based on a premise-dependent Lyapunov function and multiconvexity, we release the conservatism that commonly exists in the common P approach. Comparison studies for common P and non-common P methods are demonstrated, showing relaxation is achieved via the proposed approach.
This paper addresses the problem of exponential stability for singular networked control system (NCS) with multiple-packet transmission and dynamical output feedback. The singular NCS with time-delay and data packet dropout is modeled as an asynchronous dynamical system (ADS) constrained by event rates. Based on the theory of ADS, Lyapunov stability theory and linear matrix inequality method, the...
This paper addresses the problem of synchronization errors in distributed dynamical systems. In particular, it focuses on the question of stability for the case where all subsystems have the same sampling frequency, but different switching times. In contrast to previous work, the approach taken here models the set of system matrices that arise using a polytopic uncertainty approach, where a polytope...
Repetitive processes are a distinct class of two-dimensional (2D) systems (i.e. information propagation in two independent directions occurs) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or (often) 2D systems theory. In this paper we begin the development a systems theory for a model...
This paper treats the problem of an adaptive fuzzy control of continuous nonlinear systems which contain unknown constant parameters in their state space. These systems are represented by Takagi-Sugeno fuzzy model. The quadratic Lyapunov function is used in the stability analysis and the design of fuzzy controllers. A common symmetric positive definite Lyapunov matrix allows us to determine an update...
This paper is concerned with the stability analysis of a linear discrete-time system described by a high-order difference-algebraic equation. It is well known that, in the behavioral approach, a Lyapunov for a linear system is characterized in terms of a so-called quadratic difference form (QDF). For a discrete-time case, Kojima and Takaba (2005) derived a necessary and sufficient condition for the...
New sufficient, and sometimes necessary and sufficient conditions, are obtained for Schur- and Hurwitz-stability of interval matrices by relying on the concept of connective stability and M-matrices. The necessity part is broadened to include interval matrices with mixed signs of the off-diagonal elements, provided the sign patterns follow that of the Morishima matrix. The obtained results are extended...
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