Sentence examples for matrices with nonlinear from inspiring English sources

(1) where (sigma ( t ): Re^ to underline{N} = { 1, 2,ldots, N }) is a right continuous piecewise constant mapping, called the switching signal, N is the number of subsystems, (x ( t ) in Re^{n}) is the state, (A_{sigma ( t )} (cdot )) and (D_{sigma ( t )} (cdot )) are matrices with nonlinear elements of appropriate dimensions.

(46) where (sigma ( t )) is the switching signal given in (1), (A_{i} (cdot ) in Re^{n times n}) and (D_{l,i} (cdot ) in Re^{n times n}) ((l = 1,ldots, m )) are matrices of appropriate dimensions with nonlinear elements.

This algorithm is formulated by virtue of the combined matrix inequality with a prefixed binary choice signal, which is composed of direct design condition with nonlinear matrix variable inequality and its corresponding linearized one.

We cast these synthesis problems as optimization programs with a linear cost subject to linear matrix inequality (LMI) constraints along with nonlinear equality constraints representing a matrix inversion condition.

Second, under the assumption, the output matrices of nonlinear switched system are with some special forms which can also be dealt by orthogonal procedure if they are not satisfied, multiple reduced-order switched observers are proposed by coordinate transformation approach such that the state estimation purpose is reached for original nonlinear switched systems.

The nonlinearity is useful for dealing with nonlinear temporal fluctuation.

These are nonlinear kids with nonlinear lives.

The idea of urban bustle comes across with nonlinear impact.

Ambiguity has become a selling point, with nonlinear storytelling the new norm.

Linear amplification with nonlinear components.

Optimization with nonlinear constraints is a numerically challenging issue.