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Relationships between Linear Dynamically Varying Systems and Jump Linear Systems
Mathematics of Control, Signals, and Systems (MCSS), 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bohacek, S., Jonckheere, E. A.
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Linear dynamical systems: compactness theorem
Systems & Control Letters, 1994Let \(k\) be a complete valued field. ``A Willems (resp. Laurent-Willems) module is a topological linear space (over \(k\)) together with a linear continuous endomorphism (resp. automorphism) of this space which is isomorphic to a closed linear time-invariant subspace in \((k^ q)^{\mathbb{Z}_+}\) (resp.
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Passive linear stationary dynamic systems
Siberian Mathematical Journal, 1979zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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LINEAR SYMMETRIC DYNAMICAL SYSTEMS
IFAC Proceedings Volumes, 2005Abstract The problem of characterizing those linear systems that exhibit a symmetric behavior was completely solved in the 1D case, ten years ago, in a few papers by F. Fagnani and J. C. Willems. Unfortunately, that theory could not be extended in its full generality to multidimensional systems: the techniques used in the proofs limited the results ...
Paolo Vettori, Jan C. Willems
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2004
In this chapter, we consider state space representations of linear systems of ordinary differential equations with several inputs and outputs (MIMO systems). As in the SISO case, a linear system arises when a nonlinear system is linearized at an equilibrium state.
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In this chapter, we consider state space representations of linear systems of ordinary differential equations with several inputs and outputs (MIMO systems). As in the SISO case, a linear system arises when a nonlinear system is linearized at an equilibrium state.
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Linear Symplectic Dynamic Systems
2001In this chapter we investigate so-called symplectic systems of dynamic equations, which have a variety of important equations as their special cases, e.g., linear Hamiltonian dynamic systems or Sturm-Liouville dynamic equations of higher (even) order.
Martin Bohner, Allan Peterson
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Linearization of Random Dynamical Systems
1995At the end of the last century the French mathematician Henri Poincare laid the foundation for what we call nowadays the qualitative theory of ordinary differential equations. Roughly speaking, this theory is devoted to studying how the qualitative behavior (e.g.
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Linear Dynamic System Identification
2001The term linear system identification often refers exclusively to the identification of linear dynamic systems. In this chapter’s title the term “dynamic” is explicitly mentioned to emphasize the clear distinction from static systems. An understanding of the basic concepts and the terminology of linear dynamic system identification is required in order
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Discrete Linear Dynamical Systems
2013The theory of dynamical systems is concerned with describing and studying the evolution of systems over time, where a ‘system’ is represented as a vector of variables, and there is a fixed rule governing how the system evolves. Dynamical systems originate in the development of Newtonian mechanics, and have widespread applications in many areas of ...
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