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Impact Force Localization and Reconstruction via ADMM-based Sparse Regularization Method
In practice, simultaneous impact localization and time history reconstruction can hardly be achieved, due to the ill-posed and under-determined...
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4 Continuous-time Systems: Tracking Control
In this chapter we treat the problem of H∞ tracking with stochastic multiplicative white noise. We extend the work of [98], which does not involve... -
6 Beamforming Combined with Multi-channel Acoustic Echo Cancellation
For audio signal acquisition, beamforming microphone arrays can be efficiently used for enhancing a desired signal while suppressing... -
4 Optimum Beamforming for Wideband Non-stationary Signals
Array processing techniques strive for extraction of maximum information from a propagating wave field using groups of sensors, which are located at... -
B Experimental Setups and Acoustic Environments
In this chapter, the experimental setup and the acoustic environments are described, which are used in this work for illustrating the properties of... -
6 Stochastic Passivity
Passivity of deterministic linear systems plays an important role in network theory and in adaptive control. The fact that a system is passive... -
C Appendix: The Discrete DLMI Method
We consider the following system: $$ x_{k+1}=A_kx_k + B_k w_k, \quad k=0,1,... -
Rational Positive Systems for Reaction Networks
The purpose of the lecture associated with this paper is to present problems, concepts, and theorems of control and system theory for a subclass of... -
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... -
Stability of Linear Systems and Positive Semigroups of Symmetric Matrices
The role of Lyapunov operators in stability theory is well-known. In this paper we present an interesting characterization of Lyapunov operators. We... -
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... -
Stability of Nonlinear Hybrid Systems
This work is devoted to stability of nonlinear hybrid systems (or nonlinear systems with regime switching). The switching regime is described by a... -
Gyroscopic Forces and Collision Avoidance with Convex Obstacles
This paper introduces gyroscopic forces as an tool that can be used in addition to the use of potential forces in the study of collision and convex... -
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... -
Parameter Identifiability of Nonlinear Biological Systems
Parameters characterizing the internal behaviour of biological and physiological systems are usually not directly accessible to measurement. Their... -
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... -
Differential Systems with Positive Variables
The variables of biological, ecological, or chemical systems are often positive, because they measure concentrations, numbers, ...We study polynomial... -
A Characterization of Reachable Positive Periodic Descriptor Systems
Periodic descriptor system with nonnegative restrictions and its associated invariant cyclically augmented system (ICAS) are analyzed. The weakly... -
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... -
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...