Results 191 to 200 of about 10,459,087 (262)
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A multiple lyapunov function approach to stabilization of fuzzy control systems
IEEE Transactions on Fuzzy Systems, 2003Kazuo Tanaka, T. Hori, Hua O. Wang
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Automatica, 2011
Abstract Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium points in linear or nonlinear systems. Unfortunately, even if the existence of Lyapunov functions for asymptotically stable equilibrium points is guaranteed by converse Lyapunov theorems, the actual computation of the analytic expression of the ...
Sassano M., Astolfi A.
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Abstract Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium points in linear or nonlinear systems. Unfortunately, even if the existence of Lyapunov functions for asymptotically stable equilibrium points is guaranteed by converse Lyapunov theorems, the actual computation of the analytic expression of the ...
Sassano M., Astolfi A.
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IEEE Transactions on Cybernetics, 2019
This paper investigates a fault-tolerant control of the hypersonic flight vehicle using back-stepping and composite learning. With consideration of angle of attack (AOA) constraint caused by scramjet, the control laws are designed based on barrier ...
B. Xu, Zhong-ke Shi, F. Sun, Wei He
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This paper investigates a fault-tolerant control of the hypersonic flight vehicle using back-stepping and composite learning. With consideration of angle of attack (AOA) constraint caused by scramjet, the control laws are designed based on barrier ...
B. Xu, Zhong-ke Shi, F. Sun, Wei He
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Optimum Lyapunov functions [PDF]
Dynamics and Control, 1995 This is an interesting paper in the spirit of the Russian school in stability theory which considers the problem of finding an ``optimal'' Lyapunov function for a linear autonomous differential equation. Various optimality criteria are formulated and finding the corresponding Lyapunov functions is reduced to optimization problems: a two-person game or ...
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Optimization of lyapunov functionals
Meccanica, 1975The problem of optimality of Lyapunov Functionals is posed in terms of the requirements of a specific problem. The optimizationprocess is based on a method used to construct Lyapunov Functionals called “Path Integral Synthesis” proposed by the authors.
Carmine Golia, Jacob M. Abel
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International Journal of Robust and Nonlinear Control, 2018
In this paper, the problems of stability and stabilization are considered for a class of switched linear systems with slow switching and fast switching.
Ruihua Wang +4 more
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In this paper, the problems of stability and stabilization are considered for a class of switched linear systems with slow switching and fast switching.
Ruihua Wang +4 more
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Lyapunov and Lyapunov-like functions
2007Lyapunov functions are crucial in the present book aims, given the strict relation between Lyapunov functions and invariant sets. In this chapter, basic notions of Lyapunov and Lyapunov-like functions will be presented. Before introducing the main concept, a brief presentation of the class of dynamic models will be considered and some preliminary ...
Stefano Miani, Franco Blanchini
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An Enhanced Lyapunov-Function Based Control Scheme for Three-Phase Grid-Tied VSI With LCL Filter
IEEE Transactions on Sustainable Energy, 2019In this paper, an enhanced Lyapunov-function based control scheme is proposed for three-phase grid-tied LCL-filtered voltage source inverters (VSIs). The grid-tied VSI is modeled in the synchronously rotating dq-frame.
I. Sefa +3 more
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Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions
Nonlinear Analysis: Theory, Methods & Applications, 1996The authors are interested in the stability properties of the trivial solution of the system \(x'=f(t,x)\) and wish to use the higher derivatives of a single Lyapunov function to investigate them. If the resulting comparison system satisfies the required quasimonotone property, one can use a variant of the method of vector Lyapunov functions.
V. Lakshmikantham, S. Köksal
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Nonlinear Analysis: Theory, Methods & Applications, 1984
For a system of equations \(dx/dt=f(x)\), \(f(0)=0\) where \(x\in R^ n\), \(f:N\to R^ n\), \(N\subset R^ n\) the author introduces the Lyapunov matrix-function (1) \({\mathcal B}(x)=\{w_{ij}(x)\}^ m_{i,j=1}\), \(w_{ij}(0)=0\); \(\bar {\mathcal B}(x)=\max_{i,j}w_{ij}(x)\), i,\(j\in [1,m]\) and its derivative \(\quad (2)\quad\overset \circ {\mathcal B}(x)
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For a system of equations \(dx/dt=f(x)\), \(f(0)=0\) where \(x\in R^ n\), \(f:N\to R^ n\), \(N\subset R^ n\) the author introduces the Lyapunov matrix-function (1) \({\mathcal B}(x)=\{w_{ij}(x)\}^ m_{i,j=1}\), \(w_{ij}(0)=0\); \(\bar {\mathcal B}(x)=\max_{i,j}w_{ij}(x)\), i,\(j\in [1,m]\) and its derivative \(\quad (2)\quad\overset \circ {\mathcal B}(x)
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