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The problem of decoupling a nonsquare state space system by state feedback with singular input transformation is considered. The problem is solved by conducting a finite search for decouplable square systems, appropriately derived from the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Dimitris Vafiadis

This paper extends the concept of scalar cepstrum coefficients from single-input single-output linear time invariant dynamical systems to multiple-input multiple-output models, making use of the Smith-McMillan form of the transfer function.…

Systems and Control · Computer Science 2018-03-09 Oliver Lauwers , Oscar Mauricio Agudelo , Bart De Moor

We consider estimation of the covariance matrix of a multivariate random vector under the constraint that certain covariances are zero. We first present an algorithm, which we call Iterative Conditional Fitting, for computing the maximum…

Statistics Theory · Mathematics 2010-03-04 Sanjay Chaudhuri , Mathias Drton , Thomas S. Richardson

An adaptive parametric reduced-order modeling method based on interpolating poles of reduced-order models is proposed in this paper. To guarantee correct interpolation, a pole-matching process is conducted to determine which poles of two…

Numerical Analysis · Mathematics 2019-08-05 Yao Yue , Lihong Feng , Peter Benner

Controlling nonlinear systems, especially when data are being used to offset uncertainties in the model, is hard. A natural approach when dealing with the challenges of nonlinear control is to reduce the system to a linear one via change of…

Systems and Control · Electrical Eng. & Systems 2024-06-25 C. De Persis , D. Gadginmath , F. Pasqualetti , P. Tesi

We present a new algorithm for solving the real roots of a bivariate polynomial system $\Sigma=\{f(x,y),g(x,y)\}$ with a finite number of solutions by using a zero-matching method. The method is based on a lower bound for bivariate…

Symbolic Computation · Computer Science 2010-01-19 Xiaolin Qin , Yong Feng , Jingwei Chen , Jingzhong Zhang

On the basis of the generalized argument principle, here we develop a numerical scheme for locating zeros and poles of a meromorphic function. A subdivision-transformation-calculation scheme is proposed to ensure the algorithm stability. A…

Numerical Analysis · Mathematics 2021-06-30 Haotian Chen

The poles and zeros of a transfer function can be studied by various means. The main motivation of the present paper is to give a state-space description of the module theoretic definition of zeros introduced and analyzed by Wyman et al.…

Rings and Algebras · Mathematics 2013-09-13 Gyorgy Michaletzky

This paper studies the problem of pole assignment for symmetric and Hamiltonian transfer functions. A necessary and sufficient condition for pole assignment by complex symmetric output feedback transformations is given. Moreover, in the…

Optimization and Control · Mathematics 2007-05-23 Uwe Helmke , Joachim Rosenthal , Alex Wang

The multi-agent spatial coverage control problem encompasses a broad research domain, dealing with both dynamic and static deployment strategies, discrete-task assignments, and spatial distribution-matching deployment. Coverage control may…

Robotics · Computer Science 2024-07-22 Solmaz Kia , Sonia Martinez

This paper focuses on the problem of constructing time-varying feedback laws that asymptotically stabilize a given part of the state variables for nonlinear control-affine systems. It is assumed that the class of systems under consideration…

Optimization and Control · Mathematics 2021-05-21 Victoria Grushkovskaya , Alexander Zuyev

Assignment problems are a classic combinatorial optimization problem in which a group of agents must be assigned to a group of tasks such that maximum utility is achieved while satisfying assignment constraints. Given the utility of each…

Multiagent Systems · Computer Science 2024-12-23 Joshua Holder , Natasha Jaques , Mehran Mesbahi

In this paper, we discuss the classification problem for linear time-invariant multivariable systems without control. It turns out that the observability and stability are invariant for topological equivalent systems. Abstract results…

Optimization and Control · Mathematics 2022-06-23 Jing Li , Zhixiong Zhang

This paper concerns some spectral properties of the scalar dynamical system defined by a linear delay-differential equation with two positive delays. More precisely, the existing links between the delays and the maximal multiplicity of the…

Dynamical Systems · Mathematics 2023-02-28 Sébastien Fueyo , Guilherme Mazanti , Islam Boussaada , Yacine Chitour , Silviu-Iulian Niculescu

We consider the model reduction problem for linear time-invariant dynamical systems having nonzero (but otherwise indeterminate) initial conditions. Building upon the observation that the full system response is decomposable as a…

Systems and Control · Computer Science 2017-01-04 Christopher A. Beattie , Serkan Gugercin , Volker Mehrmann

The goal of this paper is to provide computational tools able to find a solution of a system of polynomial inequalities. The set of inequalities is reformulated as a system of polynomial equations. Three different methods, two of which…

Dynamical Systems · Mathematics 2016-03-04 Laura Menini , Corrado Possieri , Antonio Tornambè

In this paper, some preliminaries about Morgan problem, signal flow graph and controllable linear time-invariant standard system are first introduced in detail. In order to synthesize the necessary and sufficient condition for decoupling…

Optimization and Control · Mathematics 2022-04-13 Qianghui Xiao

In this work, we present a problem of simultaneous input-output feedback linearization and decoupling (non-interacting) for mechanical control systems with outputs. We show that the natural requirement of preserving mechanical structure of…

Optimization and Control · Mathematics 2024-06-25 Marcin Nowicki , Witold Respondek

We consider the stable assignment problem on a graph with nonnegative real capacities on the edges and quotas on the vertices, in which the preferences of agents are given via diversifying choice functions. We prove that for any input of…

Combinatorics · Mathematics 2023-08-29 Alexander V. Karzanov

In this paper, we present and analyze methods for solving a system of linear equations over idempotent semifields. The first method is based on the pseudo-inverse of the system matrix. We then present a specific version of Cramer's rule…

Commutative Algebra · Mathematics 2019-06-25 Fateme Olia , Shaban Ghalandarzadeh , Amirhossein Amiraslani , Sedighe Jamshidvand