In this paper the notions of non-uniform in time robust global asymptotic output stability (RGAOS) and input-to-output stability (IOS) for discrete-time systems are studied. Characterizations as well as links between these notions are provided. Particularly, it is shown that a discrete-time system with continuous dynamics satisfies the non-uniform in time IOS property if and only if the corresp...

This paper introduces and studies the notion of output-input stability, which represents a variant of the minimum-phase property for general smooth nonlinear control systems. The definition of outputinput stability does not rely on a particular choice of coordinates in which the system takes a normal form or on the computation of zero dynamics. In the spirit of the “input-to-state stability” ph...

Output feedback is crucial for autonomous and parameterized pattern generation with reservoir networks. Read-out learning affects the output feedback loop and can lead to error amplification. Regularization is therefore important for both, generalization and reduction of error amplification. We show that regularization of the reservoir and the read-out layer reduces the risk of error amplificat...

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Optimality and numerical efficiency are well known properties of the Kalman filter, whereas its stability property, though equally classical and important in practice, is less often mentioned in the recent literature. The stability of the Kalman filter is usually ensured by the uniform complete controllability regarding the process noise and the uniform complete observability of linear time var...

In this paper the theory of evolution semigroups is developed and used to provide a framework to study the stability of general linear control systems. These include autonomous and nonautonomous systems modeled with unbounded state-space operators acting on Banach spaces. This approach allows one to apply the classical theory of strongly continuous semigroups to timevarying systems. In particul...

We investigated the carrier-envelope phase (CEP) stability of hollow-fiber compression for high-energy few-cycle pulse generation. Saturation of the output pulse energy is observed at 0.6 mJ for a 260 μm inner-diameter, 1 m long fiber, statically filled with neon. The pressure is adjusted to achieve output spectra supporting sub-4-fs pulses. The maximum output pulse energy can be increased to 0...

In this paper, nonlinear output feedback control design for linear systems subject to input saturation is addressed. Main issues of this paper are 1. stability analysis of the feedback system for both of state and output feedback and 2. design of stabilizing nonlinear feedback law. Sufficient global stability conditions for both of state and output feedback are derived. Furthermore, a design ap...

This paper deals with sampled-data control of nonlinear systems in the output feedback form. A sampled-data control strategy is proposed based on the existing control design in the continuous-time domain via output feedback. The proposed control uses the sampled output and a discrete-time implementation of filters involved. The overall stability of the system under the proposed control has been...

In this paper, the notion of the input/output-to-state stability (IOSS) is extended to the case of the input/output-to-V (x) stability (IOVS), which implies detectability of the zero-value set of a storage function. Based on this notion and the notion of passivity of nonlinear systems, we propose and prove sufficient conditions under which an invariant state set of a class of switched nonlinear...