Structured singular system, depending on a parametric vector are considered. The identification of the parameters is analyzed in terms of the input-output behavior of the system. The role of the reachability and obser...
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ISBN:
(纸本)9783642028939
Structured singular system, depending on a parametric vector are considered. The identification of the parameters is analyzed in terms of the input-output behavior of the system. The role of the reachability and observability properties in this analysis is studied and a characterization of the structural identifiability property is given. Finally, the structural identifiability of a positive reachable system is Studied.
We use orders of magnitudes of variables and parameters of a chemical system described by an ordinary differential equation, to obtain a partition of the state space in boxes (hyper-rectangles). From the fast system i...
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ISBN:
(纸本)9783642028939
We use orders of magnitudes of variables and parameters of a chemical system described by an ordinary differential equation, to obtain a partition of the state space in boxes (hyper-rectangles). From the fast system in each box, we derive rules of transition, and obtain a transition graph. This graph can be used for a qualitative simulation and validation of the system.
In this short paper we show how the convergence of the iterative aggregation-disaggregation methods for computing the Perron eigenvector of a large sparse irreducible stochastic matrix can be improved by an appropriat...
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ISBN:
(纸本)9783642028939
In this short paper we show how the convergence of the iterative aggregation-disaggregation methods for computing the Perron eigenvector of a large sparse irreducible stochastic matrix can be improved by an appropriate ordering of the data and by the choice of a basic iteration matrix. Some theoretical estimates are introduced and a fast algorithm is proposed for obtaining the desired ordering. Numerical examples arc presented.
Many of simulation based learning algorithms have been developed to obtain near optimal policies for Markov decision processes (MDPs) with large state space. However, most of them are for unichain problems. In view th...
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ISBN:
(纸本)9783642028939
Many of simulation based learning algorithms have been developed to obtain near optimal policies for Markov decision processes (MDPs) with large state space. However, most of them are for unichain problems. In view that some applications involve multichain processes and it is NP-hard to determine whether a MDP is unichain or not, it is desirable to obtain an algorithm that is applicable to multichain problems as well. This paper presents a rollout algorithm for multichain MDPs with average cost. Preliminary analysis of the estimation error and parameter settings are provided based on the problem structures, i.e., mixing time of transition matrix. Ordinal optimization and Optimal Computing Budget Allocation are also suggested to improve the efficiency of the algorithm.
Water Supply Systems (WSS) are clearly dynamical systems. Processes associated with WSS include design, planning, maintenance, control, management, rehabilitation, enlargement, etc. Modeling and simulation of these pr...
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ISBN:
(纸本)9783642028939
Water Supply Systems (WSS) are clearly dynamical systems. Processes associated with WSS include design, planning, maintenance, control, management, rehabilitation, enlargement, etc. Modeling and simulation of these processes can be performed by using a number of variables and constraints that are non-negative in nature. Demands, diameters of pipes, flowrates, minimum pressure at demand nodes, volume of reservoirs, are only a few examples, taken from the purely technical context. In this paper we will focus on the design of WSS. This a mixed discrete-continuous constrained optimization problem that is addressed here by the use of an evolutionary technique based on swarm intelligence. Robustness is enforced by adding reliability to the system both to cope with abnormal conditions and by considering the likelihood of different state and load conditions. Application to a real-world problem is also provided.
This contribution is a natural continuation of a series of papers devoted to analysis of models utilized by specialists in Cell Biology around E. Bob] and W. Boos. Our novelty may he seen in enriching the models in di...
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ISBN:
(纸本)9783642028939
This contribution is a natural continuation of a series of papers devoted to analysis of models utilized by specialists in Cell Biology around E. Bob] and W. Boos. Our novelty may he seen in enriching the models in direction of controllability in the spirit of biology engineering. Besides the standard properties of the models such as existence of appropriate solutions and their uniqueness the following issues are of interest: Asymptotic behavior (e.g. steady states and pseudo-steady states), controllability and also special features such as various types of symmetries, periodicity etc. Our aim is focused on periodicity of solutions of models whose state objects share the properties of concentrations, i.e. probabilities.
The finite horizon Linear-Quadratic (LQ) optimal control problem with nonnegative state constraints (denoted by LQ(+)) is studied for positive linear systems in discrete time. Necessary and sufficient optimality condi...
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ISBN:
(纸本)9783642028939
The finite horizon Linear-Quadratic (LQ) optimal control problem with nonnegative state constraints (denoted by LQ(+)) is studied for positive linear systems in discrete time. Necessary and sufficient optimality conditions arc obtained by using the maximum principle. These conditions lead to a computational method for the solution of the LQ+ problem by means of a corresponding Hamiltonian system. In addition, necessary and sufficient conditions arc reported for the LQ(+)-optimal control to he given by the standard LQ-optimal state feedback law. Sufficient conditions are also reported for the positivity of the LQ-optimal closed-loop system. In particular, such conditions arc Obtained for the problem of minimal energy control with penalization of the final state. Moreover a positivity criterion for the LQ-optimal closed-loop system is derived for positive systems with a positively invertible (dynamics) generator
The eigenvalues of a matrix polynomial can be determined classically by solving a generalized eigenproblem for a linearized matrix pencil, for instance by writing the matrix polynomial in companion form. We introduce ...
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ISBN:
(纸本)9783642028939
The eigenvalues of a matrix polynomial can be determined classically by solving a generalized eigenproblem for a linearized matrix pencil, for instance by writing the matrix polynomial in companion form. We introduce a general scaling technique, based on tropical algebra, which applies in particular to this companion form. This scaling, which is inspired by all earlier work of Akian, Bapat, and Gaubert, relics oil the computation of "tropical roots". We give explicit hounds, in a typical case, indicating that these roots provide accurate estimates of the order of magnitude of the different eigenvalues, and we show by experiments that this scaling improves the accuracy (measured by normwise backward error) of the computations, particularly in situations in which the data have various orders of magnitude. In the case of quadratic polynomial matrices, we recover in this way a scaling due to Fail, Lin, and Van Dooren, which coincides with the tropical scaling when the two tropical roots are equal. If not the eigenvalues generally split in two groups, and the tropical method leads to making one specific scaling for each of the groups.
This paper considers the servomechanism problem for MIMO positive LTI systems. In particular, the servomechanism problem of nonnegative constant reference signals for stable MIMO positive LTI systems with unmeasurable...
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ISBN:
(纸本)9783642028939
This paper considers the servomechanism problem for MIMO positive LTI systems. In particular, the servomechanism problem of nonnegative constant reference signals for stable MIMO positive LTI systems with unmeasurable Unknown constant nonnegative disturbances under strictly nonnegative control inputs is solved using a clamping LQ regulator.
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