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We analyse a Markov chain and perturbations of the transition probability and the one-step cost function (possibly unbounded) defined on it. Under certain conditions, of Lyapunov and Harris type, we obtain new estimates of the effects of such perturbations via an index of perturbations, defined as the difference of the total expected discounted costs between the original Markov chain and the perturbed one. We provide an example which illustrates our analysis.
This paper is concerned with the problem of event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closed-loop systems to be asymptotically stable with the prescribed performance. By utilizing a separation strategy, the static output...
In this paper we study the frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both the control operator and the observation operator are unbounded but admissible. Using the theory of symmetric hyperbolic systems, we prove exponential stability of the underlying semigroup for the heat exchanger network. Applying the recent theory of well-posed infinite-dimensional linear systems, we prove that the system is...
In this paper we study the frequency and
time domain behaviour of a heat exchanger network system.
The system is governed by hyperbolic partial differential
equations. Both the control operator and the observation
operator are unbounded but admissible. Using the theory
of symmetric hyperbolic systems, we prove exponential
stability of the underlying semigroup for the heat exchanger
network. Applying the recent theory of well-posed
infinite-dimensional linear systems, we prove that the
system...
Exponential stabilization of nonlinear driftless affine control systems
is addressed with the concern of achieving robustness with respect to
imperfect knowledge of the system's control vector fields.
In order to satisfy this robustness requirement, and inspired by
Bennani and Rouchon [1] where the same issue was first addressed, we consider a
control strategy which consists in applying
periodically updated open-loop controls that are continuous
with respect to state initial conditions. These...
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