Sentence examples for systems we derive from inspiring English sources
For this class of systems we derive small-gain conditions specifying state boundedness of the interconnection.
Based on the "freezing" technique to discrete-time systems, we derive explicit conditions for the absolute stability of the zero solution of such systems.
Considering the microscopic characteristics (vehicle speed, road length etc). of links and macroscopic behaviors of traffic systems, we derive the critical flow generation rate in scale-free networks.
Following the scheme developed by Engquist and Majda [Math Comp. 31 (1977) 629] for first-order systems, we derive a theoretical perfectly absorbing nonlocal boundary condition for Maxwell's equations at a flat outer boundary.
Then, for a class of new standard systems we derive a necessary and sufficient condition under which a system can be quadratically stabilized by a linear control for all admissible variations of uncertainties.
To resolve the above issues, by leveraging KKT systems, we derive that the components of Δh i for all i ∈ F u follow a neat water-filling form, where the rate of water filling is related to the received power from other cells.
Following our previous results for the wave equation system, we derive approximate evolution operators for the linearized Euler equations.
For such a system, we derive an explicit closed-form expression of outage probability over Nakagami-m fading channels, where the on-off EH model is considered.
Given a mixed-logic dynamical system, we derive an explicit controller in the form of a possibly discontinuous piecewise-affine function.
In order to obtain analytic expressions for the resonance frequencies of a TL system we derive a system of linear equations with unknowns corresponding to all branch currents and nodal voltages and also wave amplitudes in TL elements.
In this study, using the error dynamics of the system, we derive a control rule which has a different structure from the traditional one and guarantees the asymptotic stability.
