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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)

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)

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)

We consider digital feedback control systems with time-varying sampling periods consisting of an interconnection of a continuous-time nonlinear plant, a nonlinear digital controller and appropriate interface elements between the plant and controller (A/D and D/A converters). For such systems we study the stability properties of an equilibrium (in the… (More)

- E H Abed, J-H Fu, R Abraham, J E Marsden, Adamjan, D Z Arov +5 others

Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem, " Math. USSR Sbornik 15(1971): 31-73. 4. Aeyels, D., " Stabilization of a class of nonlinear systems by a smooth feedback control, " Systems and Control Letters 5(1985): 289-294. 5. Aeyels, D., " Generic observability of differentiable systems, " SIAM J.