Showing papers by "Anthony N. Michel published in 1997"
Book•
[...]
01 Jan 1997
TL;DR: This text provides an introduction to systems theory with an emphasis on control theory, and its strong foundation in analysis and algebra enables the reader to easily move on to advanced topics in the systems area.
Abstract: From the Publisher:
Designed for the graduate-level course,Linear Systems is thorough in both its depth and breadth of coverage. This text provides an introduction to systems theory with an emphasis on control theory. Its strong foundation in analysis and algebra enables the reader to easily move on to advanced topics in the systems area.
583 citations
TL;DR: The authors study the qualitative effects of the quantizers and the plant nonlinearities of these systems which consist of an interconnection of a continuous-time nonlinear plant and a digital controller which has quantizers.
Abstract: The authors consider sampled-data control systems which consist of an interconnection of a continuous-time nonlinear plant and a digital controller which has quantizers (but is otherwise linear), along with the required interface elements (A/D and D/A converters). In the present paper the authors study the qualitative effects of the quantizers and the plant nonlinearities of these systems.
102 citations
04 Jun 1997
TL;DR: In this paper, the authors present a general model of a dynamical system suitable in the qualitative analysis of such systems in which generalized time is not represented, as is usually the case, by R/sup +/=[0,/spl infin/) or N={0,1,2,...}, but by an abstract metric space on which certain suitable hypotheses are imposed.
Abstract: Hybrid dynamical systems which are capable of exhibiting simultaneously several kinds of dynamic behavior, such as continuous-time dynamics, discrete-time dynamics, jump phenomena, switching and logic commands, discrete events, and the like, are of great current interest. In the present paper we employ a general model of a dynamical system suitable in the qualitative analysis of such systems in which generalized time is not represented, as is usually the case, by R/sup +/=[0,/spl infin/) or N={0,1,2,...}, but by an abstract metric space on which certain suitable hypotheses are imposed. This model of the dynamical system allows discontinuous motions, and convergence of motions is relative to generalized time. In the context of the model for hybrid dynamical systems described above we establish the principal Lyapunov stability results for invariant sets and the principal Lagrange stability results for motions. The present work constitutes a continuation of the work initiated by the authors in a previous paper (Michel and Hou, 1995). Some of the results of the present paper are applied in the analysis of a specific class of systems.
14 citations
TL;DR: In this article, the authors employ a general model of dynamical system suitable in the qualitative analysis of such systems, which allows discontinuous motions, and convergence of motions is relative to generalized time.
10 citations
01 Jul 1997
TL;DR: In this article, the authors established new sufficient conditions for the global asymptotic stability of uncertain linear systems described by ordinary differential equations under saturation constraints, where all states are subject to saturation constraints.
Abstract: In the present paper we establish new sufficient conditions for the global asymptotic stability of uncertain linear systems described by ordinary differential equations under saturation constraints We consider systems operating on the unit hypercube in Rn (where all states are subject to saturation constraints) and systems with partial state saturation constraints (where only some of the states are subject to saturation constraints) Systems of the type which we consider are widely used in several areas of applications, including control systems, signal processing, and artificial neural networks We demonstrate the usefulness of our results by means of two specific examples