### Toward a notion of canonical form for nonlinear systems

G. Conte, A. Perdon, C. Moog (1995)

Banach Center Publications

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G. Conte, A. Perdon, C. Moog (1995)

Banach Center Publications

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Lech Górniewicz, Paolo Nistri (1996)

Banach Center Publications

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This paper deals with a class of nonlinear control systems in ${R}^{n}$ in presence of deterministic uncertainty. The uncertainty is modelled by a multivalued map F with nonempty, closed, convex values. Given a nonempty closed set $K\subset {R}^{n}$ from a suitable class, which includes the convex sets, we solve the problem of finding a state feedback ū(t,x) in such a way that K is invariant under any system dynamics f. As a system dynamics we consider any continuous selection of the uncertain controlled dynamics...

Xiaoli Wang, Fengling Han (2011)

Kybernetika

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In this paper, the distributed output regulation problem of uncertain multi-agent systems with switching interconnection topologies is considered. All the agents will track or reject the signals generated by an exosystem (or an active leader). A systematic distributed design approach is proposed to handle output regulation via dynamic output feedback with the help of canonical internal model. With common solutions of regulator equations and Lyapunov functions, the distributed robust...

E. Aranda-Bricaire, C. Moog, J. Pomet (1995)

Banach Center Publications

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We define, in an infinite-dimensional differential geometric framework, the 'infinitesimal Brunovský form' which we previously introduced in another framework and link it with equivalence via diffeomorphism to a linear system, which is the same as linearizability by 'endogenous dynamic feedback'.

J. Rudolph (1995)

Banach Center Publications

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Well-formed dynamics are a generalization of classical dynamics, to which they are equivalent by a quasi-static state feedback. In case such a dynamics is flat, i.e., equivalent by an endogenous feedback to a linear controllable dynamics, there exists a Brunovský type canonical form with respect to a quasi-static state feedback.

Ouzahra, Mohamed (2011)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Shutang Liu, Yuan Jiang, Ping Liu (2010)

Kybernetika

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This paper proposes an asymptotic rejection algorithm on the rejection of nonharmonic periodic disturbances for general nonlinear systems. The disturbances, which are produced by nonlinear exosystems, are nonharmonic and periodic. A new nonlinear internal model is proposed to deal with the disturbances. Further, a state feedback controller is designed to ensure that the system's state variables can asymptotically converge to zero, and the disturbances can be completely rejected. The...

Ülle Kotta, Palle Kotta, Miroslav Halás (2010)

Kybernetika

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The paper applies the pseudo-linear algebra to unify the results on reducibility, reduction and transfer equivalence for continuous- and discrete-time nonlinear control systems. The necessary and sufficient condition for reducibility of nonlinear input-output equation is presented in terms of the greatest common left factor of two polynomials describing the behaviour of the ‘tangent linearized system’ equation. The procedure is given to find the reduced (irreducible) system equation...

Fritz Colonius, Wolfgang Kliemann (1995)

Banach Center Publications

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The region of asymptotic null controllability of bilinear systems with control constraints is characterized using Lyapunov exponents. It is given by the cone over the region of attraction of the maximal control set in projective space containing zero in its spectral interval.