Contact hamiltonians distinguishing locally certain Goursat systems

Piotr Mormul

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W. Królikowski (1991)

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The proof of the Nirenberg-Treves conjecture

Nils Dencker (2003)

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State-space realization of nonlinear control systems: unification and extension via pseudo-linear algebra

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Kybernetika

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In this paper the tools of pseudo-linear algebra are applied to the realization problem, allowing to unify the study of the continuous- and discrete-time nonlinear control systems under a single algebraic framework. The realization of nonlinear input-output equation, defined in terms of the pseudo-linear operator, in the classical state-space form is addressed by the polynomial approach in which the system is described by two polynomials from the non-commutative ring of skew polynomials....