Stability and stabilizability of dynamical systems with multiple time-varying delays: Delay-dependent criteria.
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 and stabilization of discontinuous systems and nonsmooth Lyapunov functions
Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
We study stability and stabilizability properties of systems with discontinuous righthand side (with solutions intended in Filippov's sense) by means of locally Lipschitz continuous and regular Lyapunov functions. The stability result is obtained in the more general context of differential inclusions. Concerning stabilizability, we focus on systems affine with respect to the input: we give some sufficient conditions for a system to be stabilized by means of a feedback law of the Jurdjevic-Quinn...
Stability and stabilization of impulsive stochastic delay difference equations.
Stability and stabilization of nonlinear systems and Takagi-Sugeno's fuzzy models.
Stability and stabilization of one class of three time-scale systems with delays
A singularly perturbed linear time-invariant time delay controlled system is considered. The singular perturbations are subject to the presence of two small positive multipliers for some of the derivatives in the system. These multipliers (the parameters of singular perturbations) are of different orders of the smallness. The delay in the slow state variable is non-small (of order of ). The delays in the fast state variables are proportional to the corresponding parameters of singular perturbations....
Stability at constantly acting disturbances of abstract differential equations with the right-hand sides smooth in the time variable
Stability criteria for large-scale time-delay systems: the LMI approach and the Genetic Algorithms
Stability criterion for discrete-time systems.
Stability of a class of adaptive nonlinear systems
This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class of nonlinear...
Stability of difference analogue of linear mathematical inverted pendulum.
Stability of difference equations and applications to robustness problems.
Stability of equilibrium points of fractional difference equations with stochastic perturbations.
Stability of impulsive hopfield neural networks with Markovian switching and time-varying delays
The paper is concerned with stability analysis for a class of impulsive Hopfield neural networks with Markovian jumping parameters and time-varying delays. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process. By employing a Lyapunov functional approach, new delay-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities (LMIs). The proposed criteria can be easily checked by using some standard numerical...
Stability of invariant measure of a stochastic differential equation describing molecular rotation
Stability of an invariant measure of stochastic differential equation with respect to bounded pertubations of its coefficients is investigated. The results as well as some earlier author's results on Liapunov type stability of the invariant measure are applied to a system describing molecular rotation.
Stability of Lipschitz type in determination of initial heat distribution.
Stability of nonlinear -difference systems with fractional orders
In the paper we study the subject of stability of systems with -differences of Caputo-, Riemann-Liouville- and Grünwald-Letnikov-type with fractional orders. The equivalent descriptions of fractional -difference systems are presented. The sufficient conditions for asymptotic stability are given. Moreover, the Lyapunov direct method is used to analyze the stability of the considered systems with -orders.