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Observer-based secure [Formula: see text] control for networked control systems with multiple disturbances, actuator failures, and deception attacks under adaptive event-triggered mechanism. [PDF]
Sci RepTajudeen MM +5 more
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A Lyapunov-Based Analysis on the Almost Periodicity of Impulsive Conformable Reaction-Diffusion Neural Networks with Distributed Delays. [PDF]
Entropy (Basel)Stamova I, Stamov G, Spirova C.
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ADP-Based Fault-Tolerant Control with Stability Guarantee for Nonlinear Systems. [PDF]
Entropy (Basel)Liu L, Lv J, Lin H, Zhan R, Wu L.
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Finite Element Approximation of Lyapunov Equations Related to Parabolic Stochastic PDEs. [PDF]
Appl Math OptimAndersson A +3 more
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Rank-one LMIs and Lyapunov's inequality
IEEE Transactions on Automatic Control, 2001The paper proposes an alternative proof of Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. This new proof does not refer to stability of the trajectories of an associated dynamical system and does not use matrix exponentials.
Henrion, D., Meinsma, Gjerrit
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From Lyapunov Functions to Sobolev Inequalities
Theory of Probability & Its Applications, 2015Summary: Based on the existence of the Lyapunov functions, the weak and local Lyapunov-\(\Psi\)-Sobolev type inequalities which yield the convergence rates of semigroup are considered.
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2013
In this chapter we give some proofs of Lyapunov’ inequality, in both the linear and nonlinear contexts.
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In this chapter we give some proofs of Lyapunov’ inequality, in both the linear and nonlinear contexts.
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2013
Introduction The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of eigenvalue asymptotics driven by the coupling of the equations instead of the order of the equations.
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Introduction The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of eigenvalue asymptotics driven by the coupling of the equations instead of the order of the equations.
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