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Employing the stability analysis method for the time-delay system, a sufficient condition on the existence of an observer-based controller is presented.
Finally, for the augmented error system, a sufficient condition of asymptotic stability is derived and the preview controller design method is proposed based on the scaled small gain theorem and linear matrix inequality (LMI) technique.
Given a Lyapunov-based continuous-time adaptive controller that ensures some stability properties for the closed-loop system, a sufficient condition for the design of high order discrete-time controllers is given.
By casting the addressed robust fault detection problem into an auxiliary robust H∞ filtering problem of a certain Markovian jumping system, a sufficient condition for the existence of the desired robust fault detection filter is established in terms of linear matrix inequalities.
According to the stability analysis method of the switched system, a sufficient condition for the existence of state-feedback control as automatic train regulation strategy is given in terms of matrix inequalities, which ensures the stability of metro line system under a disturbance or a disruption.
Essentially the code in the DNA escapes the program as soon as it is converted from ACGTs to 00011011s, and executes some commands in the system — a sufficient demonstration of the existence of the threat vector.
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However, in such DDMA systems, a sufficient pulse repetition frequency (PRF) design freedom is required.
First, for a class of unforced switched linear systems, a sufficient condition is derived for stabilization with a prescribed disturbance attenuation level only by switching based on LMI.
Finally, by introducing a hyperbolic realization and constructing auxiliary systems, a sufficient and generically necessary condition for the existence of the unknown functions is obtained.
Thereafter, based on the theory in stochastic stability for time-delay systems, a sufficient condition is established in terms of a set of linear matrix inequalities (LMIs).
Based on the variable structure control theory of uncertain systems, a sufficient condition for the stability of the closed-loop fuzzy system is also derived using the concept of connective stability in decentralized control of large-scale systems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com