Control design for discrete-time bilinear systems using the scalarized Schur complement
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.3807
Abstract: In this paper, controller design for discrete time bilinear systems is investigated by using Sum of Squares (SOS) programming methods and quadratic Lyapunov functions. The class of rational polynomial controllers are considered, and necessary conditions… read more here.
Keywords: design discrete; schur complement; discrete time; bilinear systems ... See more keywords
Regional stabilization for a class of bilinear systems
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DOI: 10.1016/j.ifacol.2017.08.728
Abstract: Abstract The aim of this paper is to study regional stabilization for a class of bilinear systems evolving in a spatial domain Ω. It consists in studying the asymptotic behaviour of such a system in… read more here.
Keywords: regional stabilization; class bilinear; stabilization; bilinear systems ... See more keywords
A Symmetric Group Method for Controllability Characterization of Bilinear Systems on the Special Euclidean Group
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DOI: 10.1016/j.ifacol.2019.11.815
Abstract: Abstract Bilinear systems form models of wide-ranging applications in diverse areas of engineering and natural sciences. Investigating fundamental properties of such systems has been a prosperous subject of interest and remains essential toward the advancement… read more here.
Keywords: euclidean group; special euclidean; group; bilinear systems ... See more keywords
Partial stabilisation of non-homogeneous bilinear systems
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DOI: 10.1080/00207179.2017.1313452
Abstract: ABSTRACT In this work, we study in a Hilbert state space, the partial stabilisation of non-homogeneous bilinear systems using a bounded control. Necessary and sufficient conditions for weak and strong stabilisation are formulated in term… read more here.
Keywords: partial stabilisation; stabilisation; stabilisation non; homogeneous bilinear ... See more keywords
Feedback stabilisation and polynomial decay estimate for time delay bilinear systems
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DOI: 10.1080/00207179.2019.1693061
Abstract: In this paper, we are concerned with the question of weak and strong stabilisation for distributed bilinear systems with time delay using continuous feedback controls. In the case of strong stabilisation, a polynomial decay rate… read more here.
Keywords: stabilisation; bilinear systems; polynomial decay; stabilisation polynomial ... See more keywords
Structural controllability and structural near-controllability of a class of discrete-time bilinear systems
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DOI: 10.1080/00207179.2021.1890825
Abstract: In this paper, we consider the structural controllability problems of a class of driftless discrete-time bilinear systems which have nearly the same structure as linear systems. Algebraic as well a... read more here.
Keywords: discrete time; class; structural controllability; bilinear systems ... See more keywords
Bounded and unbounded optimal control for infinite dimensional bilinear systems
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DOI: 10.1080/00207179.2021.1971769
Abstract: In this paper, we consider optimal control of infinite dimensional bilinear systems in both cases unbounded and bounded controls set. Then, we minimise a functional cost constituted of the deviatio... read more here.
Keywords: control infinite; control; bilinear systems; infinite dimensional ... See more keywords
Strong and weak-star stabilisation of bilinear systems on nonreflexive Banach spaces
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DOI: 10.1080/00207179.2021.1989047
Abstract: This paper deals with bilinear systems evolving in a Banach state space (which is not necessarily reflexive). To the best of our knowledge, strong and weak-star stabilisation of control systems in ... read more here.
Keywords: weak star; star stabilisation; strong weak; bilinear systems ... See more keywords
Dimension reduction for k-power bilinear systems using orthogonal polynomials and Arnoldi algorithm
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DOI: 10.1080/00207721.2021.1876276
Abstract: In this paper, a dimension reduction method via general orthogonal polynomials and multiorder Arnoldi algorithm is proposed, which focuses on the topic of structure-preserving for k-power bilinear systems. The main procedure is using a series… read more here.
Keywords: orthogonal polynomials; bilinear systems; power bilinear; dimension reduction ... See more keywords
Auxiliary Model Based Least Squares Iterative Algorithms for Parameter Estimation of Bilinear Systems Using Interval-Varying Measurements
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DOI: 10.1109/access.2018.2794396
Abstract: This paper focuses on the parameter estimation of a class of bilinear systems, for which the input-output representation is derived by eliminating the state variables in the systems. Based on the obtained identification model and… read more here.
Keywords: model based; parameter estimation; based least; bilinear systems ... See more keywords
Exponential Stabilization of Unstable Bilinear Systems in Finite- and Infinite-Dimensional Spaces
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DOI: 10.1109/tac.2021.3056579
Abstract: This article discusses the uniform exponential stabilization of bilinear systems with multiplicative control inputs. We first consider the case of finite-dimensional bilinear systems, and we present stabilization results concerning the case of open-loop stable systems… read more here.
Keywords: control; exponential stabilization; stabilization; bilinear systems ... See more keywords