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If the existence of reasons entails the possibility of motivation, and the possibility of motivation entails the existence of desire, then the existence of reasons entails the existence of desire as the Humean Theory of Reasons maintains.
In the case of the second premise, linking the possibility of motivation with the existence of desire, a much stronger sense of 'possibility' is arguably needed: something like there being some conditions under which the agent with his actual psychological state would be motivated.
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Hence reasons to act depend on the existence of desires (Williams 1981).
Sufficient conditions for the existence of desired controllers are given in terms of linear matrix inequalities (LMIs).
Then, a sufficient condition on the existence of desired Markov jumping filters is provided in terms of a set of linear matrix inequalities.
Sufficient conditions are proposed for the existence of desired exponential filters, which are expressed in terms of the solutions to algebraic Riccati inequalities involving scalar parameters.
Then, delay-dependent and decay-rate-dependent conditions for the existence of desired filters are obtained in terms of linear matrix inequalities (LMIs).
Then, a sufficient condition for the existence of desired filters is established with a free matrix introduced, which will greatly facilitate the design of filter matrices.
Then a set of delay-dependent sufficient conditions for the existence of desired robust H∞ filters is expressed in terms of linear matrix inequalities.
In terms of a novel Lyapunov functional, the delay-dependent sufficient conditions for the existence of desired state estimator are derived.
Sufficient conditions are obtained for the existence of desired H∞ filters, which are given in terms of the solutions to quadratic matrix inequalities involving scalar parameters.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com