Explicit construction of quadratic lyapunov functions for the small gain, positivity, circle, and popov theorems and their application to robust stability. part II: Discrete‐time theory [PDF]
, 1994 Wassim M. Haddad, Dennis S. Bernstein
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Frequency‐Domain Analysis of a Keldysh‐Like System
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Complex dynamics of the system, revealing flutter and first presented by M. Keldysh, is analyzed in the paper in the frequency domain, through the describing function method. Motivated by this analysis, a system with similar behavior, but suitable for the exact frequency‐domain analysis through the locus of a perturbed relay system (LPRS ...
I. M. Boiko +3 more
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Zeta function for the Lyapunov exponent of a product of random matrices [PDF]
, 1992 Ronnie Mainieri
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The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
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Construction of a smooth Lyapunov function for an asymptotically stable set [PDF]
, 1990 Tadek Nadzieja
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT We review some known bounds on the eigenvalues of a matrix and use similar techniques to derive bounds for the class of nonlinear eigenproblems and, as a special case, the eigenvalues for LTI systems with delays. We present two classes of results.
Erik I. Verriest
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Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis [PDF]
, 1995 Wassim M. Haddad, Dennis S. Bernstein
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Direct Data‐Driven State‐Feedback Control of Linear Parameter‐Varying Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The framework of linear parameter‐varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow us to synthesize LPV state‐feedback controllers directly from only a single sequence of data and guarantee stability and ...
Chris Verhoek +2 more
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Quadratic forms as Lyapunov functions in the study of stability of solutions to difference equations
Electronic Journal of Differential Equations, 2011 A system of linear autonomous difference equations $x(n+1)=Ax(n)$ is considered, where $xin mathbb{R}^k$, $A$ is a real nonsingular $kimes k$ matrix.
Alexander O. Ignatyev, Oleksiy Ignatyev
doaj
AI‐Based Autonomous Sailboat Navigation: A Review
Journal of Field Robotics, EarlyView.ABSTRACT This review explores the recent advancements in AI‐driven autonomous sailboat navigation, underscoring its pivotal role in ocean monitoring and real‐time maritime data collection. Drawing on an extensive range of primary and secondary sources, the study critically evaluates current challenges, innovative control algorithms, and path planning ...
Vishali Mankina +6 more
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