Robust Stability of Time-Varying Interval Systems

Robust stability of time varying polytopic systems

Robust stability of linear uncertain discrete-time systems with interval time-varying delay

This paper presents a robust stability problem for linear uncertain discrete-time systems with interval timevarying delay and norm-bounded uncertainties. First, a necessary and sufficient stability condition is obtained by employing a well-known lifting method and switched system approach for nominal discrete-time delay systems. Both the stability method of checking the characteristic values in...

Robust Absolute Stability of Time-Varying Nonlinear Discrete-Time Systems

This paper studies the problem of robust absolute stability of a class of nonlinear discrete-time systems with time-varying matrix uncertainties of polyhedral type and multiple time-varying sector nonlinearities. By using the variational method and the Lyapunov second method, criteria for robust absolute stability are obtained in different forms for the class of systems under consideration. Spe...

Robust Exponential Stability of Neutral Systems with Nondifferentiable Interval Time-Varying Delays and Polytopic Uncertainties

In this paper, the problem of exponential stability for a class of polytopic neutral systems with nondifferentiable interval time-varying delays is studied. By using an improved Lyapunov–Krasovskii parameter-dependent functional and linear matrix inequality (LMI) technique, new delay-dependent sufficient conditions for the exponential stability of the systems are first established in terms of l...

On delay-dependent robust stability of uncertain neutral systems with interval time-varying delays

In this paper, the problem of a new delay-dependent robust stability criterion for neutral systems is investigated. The considered system has time-varying structured uncertainties and interval time-varying delays. Based on the Lyapunov method, a delay-dependent criterion for asymptotic stability is established in terms of LMI (linear matrix inequality). Numerical examples are carried out to sup...