The theory of linear systems has been developed over many years into a unified collection of results based on the application of linear mathematics. In the state space theory the properties of linear operators have been used to obtain results in controllability, stability etc and in the frequency domain the spectral representation of such operators can be used to generalise classical s-domain methods (see Banks 1983)
The paper considers the use of a pole/zero canonical form in the investigation of the absolute stabi...
The dynamics of a large class of engineering systems can be approximately described by coupled algeb...
Early in the twentieth century Frechet 1 showed that a large class of nonlinear time invariant syste...
In the general method analysis applied to any nonlinear system depends to a large extent on the stru...
Lie algenras and the Cartan decomposition are used to study the stability of "pseudo-linear" systems...
The frequency-domain theory of linear systems, including the root locus is generalised to nonlinear ...
The nonlinear variation of constants formula is generalized to the case where the unperturbed operat...
The structure theory of Lie algebras is used to classify nonlinear systems according to a Levi decom...
A first step is made towards a complete generalization of the classical linear frequency domain the...
The nonlinear variation of constants formula is generalised to infinite dimensional systems and appl...
Using a recently introduced Lie algebra associated with a nonlinear system and control theory are ob...
The nonlinear variations of constants formula is used to derive state estimates when a nonlinear sys...
There has been considerable interest in recent years in the input-output stability of large-scale sy...
The frequency domain theory of nonlinear analytic input-output maps is studied, directly in the freq...
Identification of nonlinear systems which can be represented by combinations of linear dynamic and s...
The paper considers the use of a pole/zero canonical form in the investigation of the absolute stabi...
The dynamics of a large class of engineering systems can be approximately described by coupled algeb...
Early in the twentieth century Frechet 1 showed that a large class of nonlinear time invariant syste...
In the general method analysis applied to any nonlinear system depends to a large extent on the stru...
Lie algenras and the Cartan decomposition are used to study the stability of "pseudo-linear" systems...
The frequency-domain theory of linear systems, including the root locus is generalised to nonlinear ...
The nonlinear variation of constants formula is generalized to the case where the unperturbed operat...
The structure theory of Lie algebras is used to classify nonlinear systems according to a Levi decom...
A first step is made towards a complete generalization of the classical linear frequency domain the...
The nonlinear variation of constants formula is generalised to infinite dimensional systems and appl...
Using a recently introduced Lie algebra associated with a nonlinear system and control theory are ob...
The nonlinear variations of constants formula is used to derive state estimates when a nonlinear sys...
There has been considerable interest in recent years in the input-output stability of large-scale sy...
The frequency domain theory of nonlinear analytic input-output maps is studied, directly in the freq...
Identification of nonlinear systems which can be represented by combinations of linear dynamic and s...
The paper considers the use of a pole/zero canonical form in the investigation of the absolute stabi...
The dynamics of a large class of engineering systems can be approximately described by coupled algeb...
Early in the twentieth century Frechet 1 showed that a large class of nonlinear time invariant syste...