Stabilization criteria for continuous linear time-invariant systems with constant lags

Stabilization Criteria for Continuous Linear Time-invariant Systems with Constant Lags

Some criteria for asymptotic stability of linear and time-invariant systems with constant point delays are derived. Such criteria are concerned with the properties of robust stability related to two relevant auxiliary delay-free systems which are built by deleting the delayed dynamics or considering that the delay is zero. Explicit asymptotic stability results, easy to test, are given for both ...

Stabilization of continuous-time jump linear systems

In this paper, we investigate almost-sure and moment stabilization of continuous time jump linear systems with a finite-state Markov jump form process. We first clarify the concepts of -moment stabilizability, exponential -moment stabilizability, and stochastic -moment stabilizability. We then present results on the relationships among these concepts. Coupled Riccati equations that provide nece...

Global stabilization for linear continuous time-varying systems

In this paper, stabilization problem via static output feedback controls for linear time-varying systems is investigated. Based on the Lyapunov function techniques, we show that for linear timevarying systems the global null-controllability guarantees the output feedback stabilization. The verifiable stabilizability conditions and output feedback control design are stated. The result can be app...

AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS

The purpose of this paper is to show that the ideas and techniques of the classical methods of finding stability, such as the criteria of Leonhard and Nyquist, can be used to derive simple algorithm to verify stability. This is enhanced by evaluating the argument of the characteristic equation of a linear system in the neighbourhood of the origin of the complex plane along the imaginary axis

Linear Time-Invariant Systems with Discrete Time