Quasi-solutions, vector Lyapunov functions, and monotone method [PDF]
V. Lakshmikantham +2 more
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Input-to-Output Stability for Stochastic Complex Networked Control Systems
In this article, input-to-output stability (IOS) for stochastic complex networked control systems (SCNCS) is investigated. By applying Kirchhoff’s matrix tree theorem in graph theory, an appropriate Lyapunov function is established which is related to ...
Xuexin Li, Shang Gao
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Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System
We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative.
Zhenyi Ji +3 more
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Sign changing Lyapunov functions and perturbation of invariant tori of dynamical systems [PDF]
W. L. Kulik
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On Continuation and Convex Lyapunov Functions
Final version, 12 pages, to appear in the IEEE Transactions on Automatic ...
Wouter Jongeneel, Roland Schwan
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Construction of a smooth Lyapunov function for an asymptotically stable set [PDF]
Tadek Nadzieja
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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]
Wassim M. Haddad, Dennis S. Bernstein
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Zeta function for the Lyapunov exponent of a product of random matrices [PDF]
Ronnie Mainieri
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Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis [PDF]
Wassim M. Haddad, Dennis S. Bernstein
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Quadratic forms as Lyapunov functions in the study of stability of solutions to difference equations
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
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