Displaying similar documents to “Controllability in the max-algebra”

An approach to the analysis of observability and controllability in nonlinear systems via linear methods

Alexey Zhirabok, Alexey Shumsky (2012)

International Journal of Applied Mathematics and Computer Science

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The paper is devoted to the problem of observability and controllability analysis in nonlinear dynamic systems. Both continuous- and discrete-time systems described by nonlinear differential or difference equations, respectively, are considered. A new approach is developed to solve this problem whose features include (i) consideration of systems with non-differentiable nonlinearities and (ii) the use of relatively simple linear methods which may be supported by existing programming systems,...

Positive 2D discrete-time linear Lyapunov systems

Przemysław Przyborowski, Tadeusz Kaczorek (2009)

International Journal of Applied Mathematics and Computer Science

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Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.

On global controllability of linear time dependent control systems

Alberto Tonolo (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Let A , B be a linear time dependent control process, defined on an open interval J = ] a , ω [ with a ≥ - ∞ and ω ≤ ∞ ; in this paper we give a description of the function τ : I → J , τ ( t ) = inf { t ′ > t : ( A , B ) is t , t ′ -globally controllable from 0 } where I = { t ∈ J : ∃ t ′ ∈ J with A , B ⁢ t , t ′ -globally controllable from 0 } .