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IEEE Transactions on Cybernetics, 2020
In this article, the adaptive fault-tolerant control (FTC) problem is solved for a switched resistance–inductance–capacitance (RLC) circuit system. Due to the existence of faults which may lead to instability of subsystems, the innovation of this article
Lei Liu +4 more
semanticscholar +1 more source
In this article, the adaptive fault-tolerant control (FTC) problem is solved for a switched resistance–inductance–capacitance (RLC) circuit system. Due to the existence of faults which may lead to instability of subsystems, the innovation of this article
Lei Liu +4 more
semanticscholar +1 more source
IEEE Transactions on Cybernetics, 2023
In this article, the adaptive tracking control problem is considered for high-order stochastic nonlinear time-delay systems in fixed-time. Being different from existing results, an improved Lyapunov–Krasovskii function is designed, which can not only ...
Ke Xu, Huanqing Wang, P. X. Liu
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In this article, the adaptive tracking control problem is considered for high-order stochastic nonlinear time-delay systems in fixed-time. Being different from existing results, an improved Lyapunov–Krasovskii function is designed, which can not only ...
Ke Xu, Huanqing Wang, P. X. Liu
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Homogeneous Lyapunov function for homogeneous continuous vector field
Systems and Control Letters, 1992Lionel Rosier
exaly +2 more sources
53rd IEEE Conference on Decision and Control, 2014
We study asymptotic stability properties of nonlinear systems in the presence of “almost Lyapunov” functions which decrease along solutions in a given region not everywhere but rather on the complement of a set of small volume. Nothing specific about the structure of this set is assumed besides an upper bound on its volume.
Daniel Liberzon +2 more
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We study asymptotic stability properties of nonlinear systems in the presence of “almost Lyapunov” functions which decrease along solutions in a given region not everywhere but rather on the complement of a set of small volume. Nothing specific about the structure of this set is assumed besides an upper bound on its volume.
Daniel Liberzon +2 more
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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
semanticscholar +1 more source
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
semanticscholar +1 more source
On quadratic lyapunov functions
IEEE Transactions on Automatic Control, 2003A topological structure, as a subset of [0,2/spl pi/)/sup L//spl times//spl Ropf//sub +//sup n-1/, is proposed for the set of quadratic Lyapunov functions (QLFs) of a given stable linear system. A necessary and sufficient condition for the existence of a common QLF of a finite set of stable matrices is obtained as the positivity of a certain integral ...
Daizhan Cheng +2 more
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Control Minkowski–Lyapunov functions
Automatica, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
Golia, Carmine, Abel, Jacob M.
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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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Lyapunov functionals and matrices
Annual Reviews in Control, 2010Abstract In this contribution we present some basic results concerning the computation of quadratic functionals with prescribed time derivatives for linear time delay systems. Some lower and upper bounds for the functionals are given. The functionals are defined by special matrix valued functions. These functions are called Lyapunov matrices.
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