Sentence examples for regular and causal from inspiring English sources

Thus, system (3.2) is regular and causal.

Assume that system (3.2) is regular and causal.

Assume that the singular system (3.2) is regular and causal.

Assume that the singular system (2.1) is regular and causal, and that Assumption 3.1 holds.

The purpose of the robust stabilization problem is to design state feedback controllers such that, for all admissible uncertainties, the closed-loop system is regular, causal and stable.

By employing the Lyapunov Krasovskii approach and the free-weighting matrix technique, a delay-dependent criterion is established in terms of linear matrix inequality (LMI), which ensures the concerned system to be regular, causal and stable with an H∞ performance.

Based on the Lyapunov Kravoskii stability theory, a delay-distribution-dependent criterion is derived which guarantees the closed-loop networked discrete-time nonlinear singular system is regular, causal, and stable with a certain H∞ performance index.

The main purpose is to design a linear mode-dependent filter such that the resulting filtering error system is regular, causal, and exponentially stable with a prescribed H∞ performance bound.

The purpose is the design of a linear robust H∞ filter such that the resulting filtering error singular system is regular, causal, and asymptotically stable with a H∞ norm bound.

On the basis of the bounded real lemma obtained, we propose the sufficient condition for the existence of reduced-order H∞ filters such that the delayed filtering error singular system is regular, causal, and stable with H∞ norm bound.

The objective is to design a generalized nonlinear full-order filter, such that the resulting filtering error system is admissible (regular, causal, and asymptotically stable), while a prescribed H∞ disturbance attenuation level is satisfied.