Search Results - "Wirth, Fabian"
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Integral Input-to-State Stability of Networked Control Systems
Published in IEEE transactions on automatic control (01-03-2020)“…We investigate integral input-to-state stability (iISS) of nonlinear networked control systems (NCSs). The controller is designed by emulation, i.e., it is…”
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2
An alternative converse Lyapunov theorem for discrete-time systems
Published in Systems & control letters (01-08-2014)“…This paper presents an alternative approach for obtaining a converse Lyapunov theorem for discrete-time systems. The proposed approach is constructive, as it…”
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3
Nonlinear Scaling of (i)ISS-Lyapunov Functions
Published in IEEE transactions on automatic control (01-04-2016)“…While nonlinear scalings of Lyapunov functions are also Lyapunov functions, we provide examples that the same statement does not necessarily hold for…”
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Stabilizability of linear time-varying systems
Published in Systems & control letters (01-09-2013)“…For linear time-varying systems with bounded system matrices we discuss the problem of stabilizability by linear state feedback. For example, it is shown that…”
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An ISS small gain theorem for general networks
Published in Mathematics of control, signals, and systems (01-05-2007)“…We provide a generalized version of the nonlinear small gain theorem for the case of more than two coupled input-to-state stable systems. For this result the…”
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A human antibody against pathologic IAPP aggregates protects beta cells in type 2 diabetes models
Published in Nature communications (09-10-2023)“…In patients with type 2 diabetes, pancreatic beta cells progressively degenerate and gradually lose their ability to produce insulin and regulate blood…”
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On a Small Gain Theorem for ISS Networks in Dissipative Lyapunov Form
Published in European journal of control (2011)“…In this paper we consider the stability of networks consisting of nonlinear ISS systems supplied with ISS Lyapunov functions defined in dissipative form. The…”
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A Small-Gain Condition for Interconnections of ISS Systems With Mixed ISS Characterizations
Published in IEEE transactions on automatic control (01-06-2011)“…We consider interconnected nonlinear systems with external inputs, where each of the subsystems is assumed to be input-to-state stable (ISS). Sufficient…”
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9
High-speed video gait analysis reveals early and characteristic locomotor phenotypes in mouse models of neurodegenerative movement disorders
Published in Behavioural brain research (15-09-2016)“…[Display omitted] •Full body high-speed video gait analysis increases specificity in motor testing.•Comprehensive locomotor profiles are generated by a…”
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10
Numerical construction of LISS Lyapunov functions under a small-gain condition
Published in Mathematics of control, signals, and systems (01-04-2012)“…In the stability analysis of large-scale interconnected systems it is frequently desirable to be able to determine a decay point of the gain operator, i.e., a…”
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11
Decomposition Approach for Background Leakage Assessment: BBLAWN Instance
Published in Journal of water resources planning and management (01-05-2016)“…AbstractThis paper summarizes an approach for the assessment and control of background leakage on water distribution networks. The methodology was developed…”
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Characterizations of Input-to-State Stability for Infinite-Dimensional Systems
Published in IEEE transactions on automatic control (01-06-2018)“…We prove characterizations of input-to-state stability (ISS) for a large class of infinite-dimensional control systems, including some classes of evolution…”
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13
Stability verification for monotone systems using homotopy algorithms
Published in Numerical algorithms (01-12-2011)“…A monotone self-mapping of the nonnegative orthant induces a monotone discrete-time dynamical system which evolves on the same orthant. If with respect to this…”
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14
The joint spectral radius is pointwise Hölder continuous
Published in Linear algebra and its applications (01-01-2025)“…We show that the joint spectral radius is pointwise Hölder continuous. In addition, the joint spectral radius is locally Hölder continuous for ε-inflations. In…”
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15
Lyapunov characterization of input-to-state stability for semilinear control systems over Banach spaces
Published in Systems & control letters (01-09-2018)“…We prove that input-to-state stability (ISS) of nonlinear systems over Banach spaces is equivalent to existence of a coercive Lipschitz continuous ISS Lyapunov…”
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Comments on "A Multichannel IOS Small Gain Theorem for Systems With Multiple Time-Varying Communication Delays
Published in IEEE transactions on automatic control (01-07-2010)“…The small-gain condition presented by Polushin may be replaced by a strictly weaker one to obtain essentially the same result. The necessary minor…”
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17
Local Stabilization of an Unstable Parabolic Equation via Saturated Controls
Published in IEEE transactions on automatic control (01-05-2021)“…We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not…”
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18
On Synchronization in Continuous-Time Networks of Nonlinear Nodes With State-Dependent and Degenerate Noise Diffusion
Published in IEEE transactions on automatic control (01-01-2019)“…In this paper, we present a generalization of a recent result on the almost sure consensus for networks affected by relative-state-dependent measurement noise…”
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19
A relaxed small-gain theorem for discrete-time infinite networks
Published in 2020 59th IEEE Conference on Decision and Control (CDC) (14-12-2020)“…This paper provides a small-gain theorem for a so-called infinite network, i.e. a network composed of infinitely many finite-dimensional systems. Such a…”
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Conference Proceeding -
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Existence of non-coercive Lyapunov functions is equivalent to integral uniform global asymptotic stability
Published in Mathematics of control, signals, and systems (01-06-2019)“…In this paper, a class of abstract dynamical systems is considered which encompasses a wide range of nonlinear finite- and infinite-dimensional systems. We…”
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