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- Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel
- Int. J. Systems Science
- 2001

We study the stability properties of linear switched systems consisting of both Hurwitz stable and unstable subsystems using an average dwell time approach. We show that if the average dwell time is chosen sufficiently large and the total activation time of unstable subsystems is relatively small compared with that of Hurwitz stable subsystems, then… (More)

- Anthony N. Michel, Jennie Si, G. Yen
- IEEE Trans. Neural Networks
- 1991

A qualitative analysis is presented for a class of synchronous discrete-time neural networks defined on hypercubes in the state space. Analysis results are utilized to establish a design procedure for associative memories to be implemented on the present class of neural networks. To demonstrate the storage ability and flexibility of the synthesis procedure,… (More)

- Donald L. Gray, Anthony N. Michel
- IEEE Trans. Neural Networks
- 1992

The authors present a new training algorithm to be used on a four-layer perceptron-type feedforward neural network for the generation of binary-to-binary mappings. This algorithm is called the Boolean-like training algorithm (BLTA) and is derived from original principles of Boolean algebra followed by selected extensions. The algorithm can be implemented on… (More)

In this paper, we investigate the disturbance attenuation properties of timecontrolled switched systems consisting of several linear time-invariant subsystems by using a dwell time approach incorporated with piecewise Lyapunov functions. First, we show that when all subsystems are Hurwitz stable and achieve a disturbance attenuation level smaller than γ0,… (More)

- Anthony N. Michel, Bo Hu
- Automatica
- 1999

In recent work we proposed a general model for hybrid dynamical systems whose states are defined on arbitrary metric space and evolve along some notion of generalized abstract time. For such systems we introduced the usual concepts of Lyapunov and Lagrange stability. We showed that it is always possible to transform this class of hybrid dynamical systems… (More)

- Jennie Si, Anthony N. Michel
- IEEE Trans. Neural Networks
- 1995

In contrast to the usual types of neural networks which utilize two states for each neuron, a class of synchronous discrete-time neural networks with multilevel threshold neurons is developed. A qualitative analysis and a synthesis procedure for the class of neural networks considered constitute the principal contributions of this paper. The applicability… (More)

- Derong Liu, Anthony N. Michel
- IWANN
- 1993

- Kaining Wang, Anthony N. Michel
- Neural Networks
- 1994

- Kevin M. Passino, Kevin L. Burgess, Anthony N. Michel
- Discrete Event Dynamic Systems
- 1995

Recently it has been shown that the conventional notions of stability in the sense of Lyapunov and asymptotic stability can be used to characterize the stability properties of a class of “logical” discrete event systems (DES). Moreover, it has been shown that stability analysis via the choice of appropriate Lyapunov functions can be used for DES and can be… (More)