Optimal control approach to stability criteria on Hill's equations
type: Item
instance of: scholarly article
title: Optimal control approach to stability criteria on Hill's equations
zbMATH Open document ID: 1438.34111
author: Jian Zu
author: Yong Li
published in: Applied Mathematics. Series B (English Edition)
publication date: 2018-10-29T00:00:00Z
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 49N90
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 6967327
zbMATH Keywords: stability criteria
zbMATH Keywords: optimal control method
zbMATH Keywords: Hill's equation
zbMATH Keywords: Lyapunov inequality
MaRDI profile type: Publication
full work available at URL: s11766-018-3602-0
OpenAlex ID: W2890254187
cites work: Q4933713
cites work: On Lyapunov inequality in stability theory for Hill's equation on time scales
cites work: Q5718752
cites work: On a Liapounoff Criterion of Stability
cites work: Lyapunov inequalities for partial differential equations
cites work: Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues
cites work: Lyapunov inequalities for the periodic boundary value problem at higher eigenvalues
cites work: Lyapunov inequalities for partial differential equations at radial higher eigenvalues
cites work: Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations
cites work: A Variational Approach to Lyapunov Type Inequalities
cites work: Rotation numbers and Lyapunov stability of elliptic periodic solutions
cites work: Stability criterion for second order linear impulsive differential equations with periodic coefficients
cites work: Q3871201
cites work: Q5806126
cites work: Neumann problems for second order ordinary differential equations across resonance
cites work: Q5540675
cites work: Q5803521
cites work: Q4340161
cites work: Survey of works on conditions of stability of the trivial solution of a system of linear differential equations with periodic coefficients
cites work: Two point boundary value problems for second order ordinary differential equations across many resonant points
cites work: Existence and uniqueness of periodic solutions for Duffing equations across many points of resonance
cites work: Periodic solutions for Duffing equations
cites work: Neumann Boundary Value Problems for Second-Order Ordinary Differential Equations Across Resonance
cites work: Existence and uniqueness of solutions to two point boundary value problems for ordinary differential equations
cites work: Q4065809
cites work: THE BEST BOUND ON THE ROTATIONS IN THE STABILITY OF PERIODIC SOLUTIONS OF A NEWTONIAN EQUATION
cites work: A Lyapunov-type stability criterion using $L^\alpha $ norms
DOI: 10.1007/S11766-018-3602-0
description: scientific article; zbMATH DE number 6967327