Exponential representation of solutions of ordinary differential equations
Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients.
Exponential stability and exponential instability for linear skew-product flows
We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to Neerven, Datko, Zabczyk and Rolewicz.
Exponential stability criteria of linear non-autonomous systems with multiple delays.
Exponential stability for a class of singularly perturbed Itô differential equations.
Exponential stability for abstract linear autonomous functional differential equations with infinite delay.
Exponential stability for periodic evolution families of bounded linear operators.
Exponential stability for singularly perturbed systems with state delays.
Exponential stability in a scalar functional differential equation.
Exponential stability of linear stochastic differential equations with bounded delay and the W-transform.
Exponential stability of nonlinear time-varying differential equations and applications.
Exponential stability of stochastic discrete-time, periodic systems in Hilbert spaces.
Exponential stability of switched linear systems with time-varying delay.
Exponential stability of Timoshenko beam system with delay terms in boundary feedbacks*
In this paper, the stability of a Timoshenko beam with time delays in the boundary input is studied. The system is fixed at the left end, and at the other end there are feedback controllers, in which time delays exist. We prove that this closed loop system is well-posed. By the complete spectral analysis, we show that there is a sequence of eigenvectors and generalized eigenvectors of the system operator that forms a Riesz basis for the state Hilbert space. Hence the system satisfies the spectrum...
Exponential stability of Timoshenko beam system with delay terms in boundary feedbacks*
In this paper, the stability of a Timoshenko beam with time delays in the boundary input is studied. The system is fixed at the left end, and at the other end there are feedback controllers, in which time delays exist. We prove that this closed loop system is well-posed. By the complete spectral analysis, we show that there is a sequence of eigenvectors and generalized eigenvectors of the system operator that forms a Riesz basis for the state Hilbert space. Hence the system satisfies the spectrum...
Exponential stability via aperiodically intermittent control of complex-variable time delayed chaotic systems
This paper focuses on the problem of exponential stability analysis of uncertain complex-variable time delayed chaotic systems, where the parameters perturbation are bounded assumed. The aperiodically intermittent control strategy is proposed to stabilize the complex-variable delayed systems. By taking the advantage of Lyapunov method in complex field and utilizing inequality technology, some sufficient conditions are derived to ensure the stability of uncertain complex-variable delayed systems,...
Exponentially convergent parallel discretization methods for the first order evolution equations.
Exponentially discounted estimates and oscillations in linear controlled systems
Exponentially fitted spline approximation method for solving selfadjoint singular perturbation problems.
Exposants, irrégularités et multiplicités