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Cellular automata and Lyapunov exponents [PDF]
, 2002 In this article we give a new definition of some analog of Lyapunov exponents for cellular automata . Then for a shift ergodic and cellular automaton invariant probability measure we establish an inequality between the entropy of the automaton, the ...
Blanchard F +12 more
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Lyapunov and Wirtinger inequalities
Applied Mathematics Letters, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Chung-Fen +3 more
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Robust constrained model predictive control based on parameter-dependent Lyapunov functions [PDF]
, 2008 The problem of robust constrained model predictive control (MPC) of systems with polytopic uncertainties is considered in this paper. New sufficient conditions for the existence of parameter-dependent Lyapunov functions are proposed in terms of linear ...
B. Pluymers +21 more
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A generalized Lyapunov inequality for a higher-order fractional boundary value problem
Journal of Inequalities and Applications, 2016 In the paper, we establish a Lyapunov inequality and two Lyapunov-type inequalities for a higher-order fractional boundary value problem with a controllable nonlinear term. Two applications are discussed.
Dexiang Ma
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Simple stability conditions of linear discrete time systems with multiple delay [PDF]
Serbian Journal of Electrical Engineering, 2010 In this paper we have established a new Lyapunov-Krasovskii method for linear discrete time systems with multiple time delay. Based on this method, two sufficient conditions for delay-independent asymptotic stability of the linear discrete time systems ...
Stojanović Sreten B. +1 more
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Stability of quantized time-delay nonlinear systems: A Lyapunov-Krasowskii-functional approach [PDF]
, 2009 Lyapunov-Krasowskii functionals are used to design quantized control laws for nonlinear continuous-time systems in the presence of constant delays in the input. The quantized control law is implemented via hysteresis to prevent chattering.
A Isidori +21 more
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Robust Control Theory for Time Lag System in Chemical Engineering and Its Application
Chemical Engineering Transactions, 2017 A series of problems of the time-lag system including robust stability analysis and guaranteed cost controller design are studied mainly based on the Lyapunov stability theory by linear matrix inequality method and time lag partitioning method in this ...
Mingli Zhou
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Stability of time-varying systems in the absence of strict Lyapunov functions [PDF]
, 2019 When a non-linear system has a strict Lyapunov function, its stability can be studied using standard tools from Lyapunov stability theory. What happens when the strict condition fails?
Ikhouane, Fayçal +1 more
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Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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Lyapunov′s Type Inequalities for Fourth‐Order Differential Equations [PDF]
Abstract and Applied Analysis, 2012 For a fourth‐order differential equation, we will establish some new Lyapunov‐type inequalities, which give lower bounds of the distance between zeros of a nontrivial solution and also lower bounds of the distance between zeros of a solution and/or its derivatives.
Samir H. Saker
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