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Virtual State Coupled Sliding Mode Control: An Energy Exchange Approach with Tunable Performance Trade-Off. [PDF]
Sensors (Basel)Wang J, Wang J, Jing J, Zhao C, Zhang L.
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Image Encryption via DDPM Skipping-Step Diffusion Based on a Six-Dimensional Hyperchaotic System with Feedback Control. [PDF]
Entropy (Basel)Wang S +6 more
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Universal topology of exceptional points in nonlinear non-Hermitian systems. [PDF]
Nat CommunKwong NH +6 more
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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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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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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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Control Minkowski–Lyapunov functions
Automatica, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Robust Minkowski–Lyapunov functions
Automatica, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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