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Unlike most of existing methods which require the contractivity of their domain of definition, the proposed control Lyapunov functions are defined over a so-called N-step controllable set, which is known not to be contractive.
The corresponding reachable and controllable set analysis, trajectory optimization, and advanced guidance methods are also revealed.
Control parameters are determined through an optimum tuning method to improve the step response characteristics in the controllable set.
Controllable set analysis under model uncertainties is composed of controllable union set (CUS) analysis and controllable intersection set (CIS) analysis.
Controllable set analysis is a beneficial method in planetary landing mission design by feasible entry state selection in order to achieve landing accuracy and satisfy entry path constraints.
This paper presents: 1) an approach to the solution of exit conditions according to orbital mechanics and 2) an approach to calculate the entry conditions based on the theory of controllable set.
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As an alternative binder, alkali-activated fly ash/slag blend cement is attractive in practice due to controllable setting behaviour at ambient temperature conditions.
The novelty of the proposed approach relies upon the capability to combine sequences of inner approximations of one-step controllable sets with polyhedral piecewise state-space partitions.
Λ-Controllable set.
We characterize the relationship between (tau_{1}^{r}) and initial conditions via the notion of a Λ-controllable set.
Without loss of generality, the Λ-controllable set (zeta varLambda)) of Neuron 1 is the set of initial conditions from which the selective spiking of Neuron 1 in P1 is achieved in time Λ, that is, zeta_{1} varLambda) = bigl{ (v_{1}, v_{2}): mathbf{v}(0) = [v_{1} v _{2}]^{T}, nexists t < varLambda text{ s.t.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com