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Some new Lyapunov-type inequalities for a class of (<i>n</i>+1)th order nonlinear differential equations

Hao Yun, Haidong Liu
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Dynamic output-feedback design for generalized Lyapunov inequalities

Samuele Zoboli, Andreu Cecilia, Sophie Tarbouriech   +2 more
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Rank-one LMIs and Lyapunov's inequality

IEEE Transactions on Automatic Control, 2001
The 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, 2015
Summary: 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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Lyapunov’s Inequality

2013
In this chapter we give some proofs of Lyapunov’ inequality, in both the linear and nonlinear contexts.
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Lyapunov-type Inequalities

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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Lyapunov-Type Inequalities for Difference Equations

2021
In this chapter, we give a survey of the most basic results on Lyapunov-type inequalities for difference equations, discrete systems, and partial difference systems. We sketch some recent developments related to this type of inequalities.
Ravi P. Agarwal, Martin Bohner, Abdullah Özbekler   +2 more
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On the algebraic Lyapunov inequality

Pollack Periodica, 2015
Considering the continuous algebraic Lyapunov inequality and equation PA + A*P<0 , PA + A*P=Q, the aim of this paper is to give an algebraic proof of the Lyapunov theorem through mathematical induction. Moreover by the presented algorithm all positive definite solutions of the Lyapunov equation are given in the case, if the right hand side is ...
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On the multivariate Lyapunov inequalities

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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