Concept
Nilpotent matrix
Related publications (33)
Koopman-based Data-driven Robust Control of Nonlinear Systems Using Integral Quadratic Constraints
This paper introduces a novel method for data-driven robust control of nonlinear systems based on the Koopman operator, utilizing Integral Quadratic Constraints (IQCs). The Koopman operator theory facilitates the linear representation of nonlinear system d ...
2024Lie groups as permutation groups: Ulam's problem in the nilpotent case
Ulam asked whether every connected Lie group can be represented on a countable structure. This is known in the linear case. We establish it for the first family of non-linear groups, namely in the nilpotent case. Further context is discussed to illustrate ...
WALTER DE GRUYTER GMBH2022A convex set of robust D—stabilizing controllers using Cauchy's argument principle
Alireza Karimi, Philippe Louis Schuchert
A new approach is presented to obtain a convex set of robust D—stabilizing fixed structure controllers, relying on Cauchy's argument principle. A convex set of D—stabilizing controllers around an initial D—stabilizing controller for a multi-model set is re ...
Elsevier2022Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter
The problem of allocating the closed-loop poles of linear systems in specific regions of the complex plane defined by discrete time-domain requirements is addressed. The resulting non-convex set is inner-approximated by a convex region described with linea ...
2019Decentralized and distributed robust control invariance for constrained linear systems
In this paper we propose an efficient procedure to compute time-varying Robust Control Invariant (RCI) sets for large-scale systems arising from the interconnection of M Linear Time-Invariant (LTI) constrained subsystems. In particular, the associated stat ...
IEEE2017Fixed-structure LPV discrete-time controller design with induced l(2)-norm and H-2 performance
A new method for the design of fixed-structure dynamic output-feedback linear parameter-varying (LPV) controllers for discrete-time LPV systems with bounded scheduling parameter variations is presented. Sufficient conditions for the stability, H-2 and indu ...
Taylor & Francis2016Fixed-order Linear Parameter Varying Controller Design for a 2DOF Gyroscope
This paper presents an approach for fixed-order Linear Parameter Varying (LPV) controller design with application to a 2 Degree-of-Freedom (2DOF) gyroscope experimental setup. Inner convex approximation of the non-convex set of all stabilizing fixed-order ...
2015Fixed-structure LPV Discrete-time Controller Design with Induced l2-Norm and H2 Performance
A new method for the design of fixed-structure dynamic output-feedback Linear Parameter Varying (LPV) controllers for discrete-time LPV systems with bounded scheduling parameter variations is presented. Sufficient conditions for the stability, $\mathscr{H} ...
2015Fixed-structure H-2 controller design for polytopic systems via LMIs
Alireza Karimi, Arash Sadeghzadeh
In this paper a new approach for fixed-structure H2 controller design in terms of solutions to a set of linear matrix inequalities are given. Both discrete- and continuous-time single-input single-output (SISO) time- invariant systems are considered. Then ...
Wiley-Blackwell2015A totally unimodular view of structured sparsity
Volkan Cevher, Marwa El Halabi
This paper describes a simple framework for structured sparse recovery based on convex optimization. We show that many interesting structured sparsity models can be naturally represented by linear matrix inequalities on the support of the unknown parameter ...
2015