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Optimal Control of Differential-Algebraic Inclusions
In this paper we consider the following dynamic optimization problem ( P ) governed by differential-algebraic inclusions:...
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A Continuous Control Mechanism for Uncertain Nonlinear Systems
The control of uncertain nonlinear systems is a topic that continues to challenge control theoreticians. This topic is also of practical importance...
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On Impulses Induced by Singular Perturbations
The possibility that a singularly perturbed controlled dynamics generates impulses in a slow dynamics coupled to it, is investigated. A scheme for...
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Min–Plus Eigenvector Methods for Nonlinear $\rm H_\infty$ Problems with Active Control
We consider the H 4 problem for a nonlinear s y stem. The corresponding dynamic programming equation (DPE) is a fully nonlinear, first-order,...
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Lyapunov Functions and Feedback in Nonlinear Control
The method of Lyapunov functions plays a central role in the study of the controllability and stabilizability of control systems. For nonlinear...
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Distance to Bifurcation in Multidimensional Parameter Space: Margin Sensitivity and Closest Bifurcations
The problem of operating or designing a system with robust stability with respect to many parameters can be viewed as a geometric problem in...
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Parameter Identifiability of Nonlinear Biological Systems
Parameters characterizing the internal behaviour of biological and physiological systems are usually not directly accessible to measurement. Their...
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Qualitative Analysis of Regulatory Graphs: A Computational Tool Based on a Discrete Formal Framework
Building upon the logical approach developed by the group of R. Thomas in Brussels, we are defining a rigorous mathematical framework to model...
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Differential Systems with Positive Variables
The variables of biological, ecological, or chemical systems are often positive, because they measure concentrations, numbers, ...We study polynomial...
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Completion Problems for Positive Matrices with Minimal Rank
Matrix completion problems studies the partial matrices, that is, a rectangular matrix some of whose entries are specified, and the remainder entries...
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Linear Positive Systems and Phase-type Representations
In this paper we try to put a bridge between the theory of phase-type distributions and the general theory of positive linear systems. The phase-type...
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Estimation and Strong Approximation of Hidden Markov Models
We give novel conditions for the existence of the limit of the normalized log-likelihood function for a finite-state continuous read-out Hidden...
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Modal Logic and Dioids
This paper presents results concerning the relations between a propositional modal logic (NK-logic) and the algebra of dioids. The technique of...
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Chaos and Pseudo-Randomness
We discuss the effect on finite machine implementation of chaotic system on randomness. We show that the most significant bit even for fully...
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Formation Mechanisms and Control Methods of Beam Halo-Chaos in High-Current Ion Linacs
This chapter introduces some potential applications of ion beam in high-current ion linacs, and discusses two key issues in such applications...
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Simulating a Motorcycle Driver
Controlling a riderless bicycle or motorcycle is a challenging problem because the dynamics are nonlinear and non-minimum phase. Further difficulties...
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Minimax Nonlinear Control under Stochastic Uncertainty Constraints
We consider in this paper a class of stochastic nonlinear systems in strict feedback form, where in addition to the standard Wiener process there is...
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Bifurcation Analysis with Application to Power Electronics
The problem of sudden loss of stability (more precisely, sudden change of operating behaviour) is frequently encountered in power electronics. A...
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Local Robustness of Bifurcation Stabilization with Applications to Jet Engine Control
Local robustness of bifurcation stabilization is studied for parameterized nonlinear systems of which the linearized system possesses either a simple...