The phrase "a proper and functional" is correct and usable in written English.
It can be used to describe something that is both appropriate and effective in its purpose or function.
Example: "The design of the new software is a proper and functional solution to our needs."
Alternatives: "an appropriate and effective" or "a suitable and operational".
They are also verifying that the capability to maintain safety of reactors even in a total loss of electric power is proper and functional.
These results demonstrate that disentangling the sophisticated interaction among original design and maintenance activities of lithic projectile points enables a proper and independent exploration of adaptation to functional demands and cognitive models of past populations.
(ii) If,, (Hilbert space) and,, where is a proper, -subdifferentiable functional and denotes the -subdifferential operator of, then problem(3.3) changes to the problem associated with the following system of variational-like inequalities, which is finding such that (34) .
If,, (Hilbert space) and,, where is a proper, -subdifferentiable functional and denotes the -subdifferential operator of, then problem(3.3) changes to the problem associated with the following system of variational-like inequalities, which is finding such that (34).
Let be a proper functional and let be a bifunction.
By constructing a proper Lyapunov Krasonski functional and the method of linear matrix inequalities (LMIs), sufficient conditions that ensure the systems singular stochastic finite-time stability and singular stochastic finite-time dissipative are obtained.
By employing the Nussbaum gain approach and choosing a proper Lyapunov Krasovskii functional, an adaptive compensation control algorithm is developed.
To do this, the approach in this paper is based on coincidence degree theory and constructing a proper Lyapunov functional.
By using a matrix inequality approach and by constructing a proper Lyapunov Krasovskii functional, less conservatism sufficient conditions are achieved in the form of linear matrix inequalities.
Let be a Banach space with the dual space, and let be a proper subdifferentiable functional.
