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The bounding process is implemented as a computationally efficient software package, FASTLSA, written in C and optimized for threading on multi-core computers, improving its practical computation time.
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This filter, while always producing a bounded process, preserves the stability/instability distinction of the original series, a feature that can be turned to an advantage in the design of tests.
The proposed LEMPC schemes also take advantage of a predefined Lyapunov-based explicit feedback law to characterize their stability region while maintaining the closed-loop system state in an invariant set subject to bounded process disturbances.
Heuristically, it seems clear that a bounded process should be dominated by a process that possesses the same dynamics inside the state space of the bounded process, but can stray out from that bounded domain.
where b (resp., σ) is a (mathbb {R}^{d} -valued (resp., (mathbb {R}^{d} -valued-valued) (mathbb {F})-presp.table uniformathbbunded process, with σ being such that the family left^{R}^{dtimes0}^{cdot}sigma_{s}{dB}_{s},, Pin} -valued}_{[un} -valued},overline{a}]}right} text{ aggregates into a single process } int_{0}^{cdot}sigmathbb{dB}_{s}.
Events are usually considered as temporally bounded processes, in contrast to the continuous nature of sensory signal flow they originate from.
The use of the space of essentially bounded processes Y and BMO processes Z (Definition 1) is essential for our proof.
We establish Pontryagin Maximum Principles in the strong form for infinite horizon optimal control problems for bounded processes, for systems governed by difference equations.
(b) shows that under a nonnegativity assumption, solving the problem in the space of bounded processes provides solutions for problems in spaces of admissible processes which are not necessarily bounded.
This analysis has allowed to verify the AP1000 thermal-hydraulic bounding evaluation process performed by WEC for the low-margin risk-important sequences with TRACE code.
Bounding the process within given depth limits means that the moving window filtering mechanism is performed only on the data within those limits.
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