K
Kai Wulff
Researcher at Technische Universität Ilmenau
Publications - 51
Citations - 1386
Kai Wulff is an academic researcher from Technische Universität Ilmenau. The author has contributed to research in topics: Linear system & Lyapunov function. The author has an hindex of 10, co-authored 49 publications receiving 1252 citations. Previous affiliations of Kai Wulff include Hamilton Institute & Maynooth University.
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Stability Criteria for Switched and Hybrid Systems
TL;DR: This paper considers the stability of switched systems in which there are constraints on the switching rules, through both dwell-time requirements and state-dependent switching laws, and discusses the theory of Lyapunov functions and the existence of converse theorems.
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A Note on Spectral Conditions for Positive Realness of Transfer Function Matrices
TL;DR: Necessary and sufficient conditions for positive realness of general transfer function matrices are derived in terms of eigenvalues of matrix functions of the state matrices representation of the LTI system.
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Quadratic Stability and Singular SISO Switching Systems
TL;DR: A necessary and sufficient condition for the existence of a common quadratic Lyapunov function for a pair of stable linear time-invariant systems whose system matrices are of the form A, A-ghT, and where one of the matrices is singular.
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Lyapunov-design for a super-twisting sliding-mode controller using the certainty-equivalence principle
TL;DR: In this article, a Lyapunov-based control concept is presented combining variable structure and adaptive control for single-input single-output (SISO) systems, which are affected by structured and unstructured uncertainties.
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Stabilization of Switched Linear Differential Algebraic Equations and Periodic Switching
TL;DR: A parameterized family of switched ordinary differential equations that approximate the dynamic behavior of the switched Dae are introduced and a necessary and sufficient criterion for the stabilizability of a switched DAE system using time-dependent switching is obtained.