On partial stability for delay systems
C. Corduneanu (1975)
Annales Polonici Mathematici
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Displaying similar documents to “Stabilization of solutions to a differential-delay equation in a Banach space”
On partial stability for delay systems
Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation
Larbi Fatmi, Moussadek Remili (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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This paper investigates the stability of the zero solution and uniformly boundedness and uniformly ultimately boundedness of all solutions of a certain vector differential equation of the third order with delay. Using the Lyapunov–Krasovskiĭ functional approach, we obtain a new result on the topic and give an example for the related illustrations.
Robustness with respect to small time-varied delay for linear dynamical systems on Banach spaces
Miao Li, Xiao-Hui Gu, Fa-Lun Huang (2004)
Studia Mathematica
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Under suitable conditions we prove the wellposedness of small time-varied delay equations and then establish the robust stability for such systems on the phase space of continuous vector-valued functions.
Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations
Mathew Omonigho Omeike (2015)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.
On stability and boundedness of solutions of a certain fourth-order delay differential equation.
Okoronkwo, Emmanuel O. (1989)
International Journal of Mathematics and Mathematical Sciences
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On delay-dependent robust stability under model transformation of some neutral systems
Salvador A. Rodríguez, Luc Dugard, Jean-Michel Dion, Jesús de León (2009)
Kybernetika
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This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust...
Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments
Moussadek Remili, Lynda D. Oudjedi (2016)
Archivum Mathematicum
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In this paper, we establish some new sufficient conditions which guarantee the stability and boundedness of solutions of certain nonlinear and non autonomous differential equations of third order with delay. By defining appropriate Lyapunov function, we obtain some new results on the subject. By this work, we extend and improve some stability and boundedness results in the literature.
On delay-dependent stability for neutral delay-differential systems
Qing-Long Han (2001)
International Journal of Applied Mathematics and Computer Science
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This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.