Stability and saddle-point property for a linear autonomous functional parabolic equation
Stability and sliding modes for a class of nonlinear time delay systems
The following time delay system is considered, where may have discontinuities, in particular at the origin. The solution is defined using the “redefined nonlinearity” concept. For such systems sliding modes are discussed and a frequency domain inequality for global asymptotic stability is given.
Stability and stabilizability of mixed retarded-neutral type systems
We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term may be singular. We consider an operator differential equation model of the system in a Hilbert space, and we are interested in the critical case when there is a sequence of eigenvalues with real parts converging to zero. In this case, the system cannot be exponentially stable, and we study conditions under which it will be strongly stable. The behavior of spectra of mixed retarded-neutral...
Stability and stabilizability of mixed retarded-neutral type systems∗
We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term may be singular. We consider an operator differential equation model of the system in a Hilbert space, and we are interested in the critical case when there is a sequence of eigenvalues with real parts converging to zero. In this case, the system cannot be exponentially stable, and we study conditions under which it will be strongly...
Stability and stabilizability of mixed retarded-neutral type systems∗
We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term may be singular. We consider an operator differential equation model of the system in a Hilbert space, and we are interested in the critical case when there is a sequence of eigenvalues with real parts converging to zero. In this case, the system cannot be exponentially stable, and we study conditions under which it will be strongly...
Stability criteria of linear neutral systems with distributed delays
In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary of a bounded...
Stability in discrete equations with variable delays.
Stability, instability and complex behavior in macrodynamic models with policy lag.
Stability investigation of quadratic systems with delay.
Stability of a monotonic solution of a non-autonomous multidimensional delay differential equation of arbitrary (fractional) order.
Stability of Attractivity Regions for Autonomous Functional Differential Equations.
Stability of cellular neural networks with unbounded time-varying delays.
Stability of delay differential equations with oscillating coefficients.
Stability of linear functional differential systems with multivalued delay feedback.
Stability of nonlinear neutral stochastic functional differential equations.
Stability of retarded systems with slowly varying coefficient
The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.
Stability of retarded systems with slowly varying coefficient
The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.
Stability of simple periodic solutions of neutral functional differential equations.
Stability of solutions for nonlinear nonautonomous differential-delay equations in Hilbert spaces.
Stability of solutions to delay differential equations with periodic coefficients of linear terms.