Displaying similar documents to “Idempotent versions of Haar’s Lemma: links between comparison of discrete event systems with different state spaces and control”

Discounted Markov control processes induced by deterministic systems

Hugo Cruz-Suárez, Raúl Montes-de-Oca (2006)

Kybernetika

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This paper deals with Markov Control Processes (MCPs) on Euclidean spaces with an infinite horizon and a discounted total cost. Firstly, MCPs which result from the deterministic controlled systems will be analyzed. For such MCPs, conditions that permit to establish the equation known in the literature of Economy as Euler’s Equation (EE) will be given. There will be also presented an example of a Markov Control Process with deterministic controlled system where, to obtain the optimal...

Sixty years of cybernetics: a comparison of approaches to solving the H 2 control problem

Vladimír Kučera (2008)

Kybernetika

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The H2 control problem consists of stabilizing a control system while minimizing the H2 norm of its transfer function. Several solutions to this problem are available. For systems in state space form, an optimal regulator can be obtained by solving two algebraic Riccati equations. For systems described by transfer functions, either Wiener-Hopf optimization or projection results can be applied. The optimal regulator is then obtained using operations with proper stable rational matrices:...