Displaying similar documents to “On point-dissipative systems of differential equations with quadratic nonlinearity.”

On quadratic Hurwitz forms. I

Jiří Gregor (1981)

Aplikace matematiky

Similarity:

Homogeneous quadratic polynomials f in n complex variables are investigated and various necessary and sufficient conditions are given for f to be nonzero in the set Γ ( n ) = z C ( n ) : R e z > 0 . Conclusions for the theory of multivariable positive real functions are formulated with applications in multivariable electrical network theory.

A note on some characterization of invariant zeros in singular systems and algebraic criteria of nondegeneracy

Jerzy Tokarzewski (2004)

International Journal of Applied Mathematics and Computer Science

Similarity:

The question how the classical definition of the Smith zeros of an LTI continuous-time singular control system can be generalized and related to state-space methods is discussed. The zeros are defined as those complex numbers for which there exists a zero direction with a nonzero state-zero direction. Such a definition allows an infinite number of zeros (then the system is called degenerate). A sufficient and necessary condition for nondegeneracy is formulated. Moreover, some characterization...