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Robustness is established for the predictor feedback for linear time-invariant systems with respect to possibly time-varying perturbations of the input delay, with a constant nominal delay. Prior results have addressed qualitatively…

Optimization and Control · Mathematics 2012-07-20 Iasson Karafyllis , Miroslav Krstic

The framework of linear parameter-varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow to synthesize LPV…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Chris Verhoek , Roland Tóth , Hossam S. Abbas

In this paper we compute families of reduced order models that match a prescribed set of moments of a highly dimensional linear time-invariant system. First, we fully parametrize the models in the interpolation points and in the free…

Optimization and Control · Mathematics 2018-11-20 I. Necoara , T. C. Ionescu

We investigate the problem of optimal control synthesis for Markov Decision Processes (MDPs), addressing both qualitative and quantitative objectives. Specifically, we require the system to satisfy a qualitative task specified by a Linear…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Yu Chen , Xuanyuan Yin , Shaoyuan Li , Xiang Yin

The control properties of discrete-time switched linear systems (SLS) with switching signals generated by logical dynamic systems are studied using the semi-tensor product (STP) approach. With the algebraic state space representation…

Systems and Control · Electrical Eng. & Systems 2024-01-08 Xiao Zhang , Min Meng , Zhengping Ji

Performance analysis for linear time-invariant (LTI) systems has been closely tied to quadratic Lyapunov functions ever since it was shown that LTI system stability is equivalent to the existence of such a Lyapunov function. Some metrics…

Systems and Control · Electrical Eng. & Systems 2020-09-14 Matthew Abate , Corbin Klett , Samuel Coogan , Eric Feron

This paper presents the positive real analysis and synthesis for Networked Control Systems (NCS) in discrete time. Based on the definition of passivity, the sufficient condition of NCS is given by stochastic Lyapunov functional. The…

Robotics · Computer Science 2008-05-01 Bambang Riyanto , Imam Arifin

This paper deals with the robust stability analysis of linear systems, subject to time-varying parameters. The Parameter Dependent Lyapunov Function are considered, assuming that the temporal derivative of the parameters are bounded. Some…

Optimization and Control · Mathematics 2025-06-16 L. A. Mozelli , R. L. S. Adriano

The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient…

Systems and Control · Computer Science 2012-04-06 Corentin Briat , Olivier Sename , Jean-François Lafay

This paper focuses on robust stability and $H_\infty$ performance analyses of hybrid continuous/discrete time linear multi-rate control systems in the presence of parametric uncertainties. These affect the continuous-time plant in a…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Jean-Marc Biannic , Clément Roos , Christelle Cumer

We study a sampled-data implementation of linear controllers that depend on the output and its derivatives. First, we consider an LTI system of relative degree $r\ge 2$ that can be stabilized using $r-1$ output derivatives. Then, we…

Optimization and Control · Mathematics 2019-07-03 Anton Selivanov , Emilia Fridman

We propose a symbolic self-triggered controller synthesis procedure for non-deterministic continuous-time nonlinear systems without stability assumptions. The goal is to compute a controller that satisfies two objectives. The first…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Sasinee Pruekprasert , Clovis Eberhart , Jérémy Dubut

Relaxed conditions are given for stability of a feedback system consisting of an exponentially stable multi-input multi-output nonlinear plant and an integral controller. Roughly speaking, it is shown that if the composition of the plant…

Optimization and Control · Mathematics 2020-08-24 John W. Simpson-Porco

This paper proposes a method to compute lower performance bounds for discrete-time infinite-horizon min-max control problems with input constraints and bounded disturbances. Such bounds can be used as a performance metric for control…

Optimization and Control · Mathematics 2013-07-09 Tyler H. Summers , Paul J. Goulart

Many nonlinear dynamical systems can be written as Lure systems, which are described by a linear time-invariant system interconnected with a diagonal static sector-bounded nonlinearity. Sufficient conditions are derived for the global…

Systems and Control · Computer Science 2015-09-07 Kwang-Ki K. Kim , Richard D. Braatz

In this paper, we study state-feedback control of Markov jump linear systems with partial information. In particular, we assume that the controller can only access the mode signals according to a hidden-Markov observation process. Our…

Optimization and Control · Mathematics 2019-03-19 Masaki Ogura , Ahmet Cetinkaya , Tomohisa Hayakawa , Victor M. Preciado

This paper deals with designing a robust fixed-order dynamic output feedback controller for uncertain fractional order linear time invariant (FO-LTI) systems by means of linear matrix inequalities (LMIs). Our purpose is to design a low…

Optimization and Control · Mathematics 2018-02-22 Pouya Badri , Mahdi Sojoodi

Recent years have witnessed a booming interest in data-driven control of dynamical systems. However, the implicit data-driven output predictors are vulnerable to uncertainty such as process disturbance and measurement noise, causing…

Optimization and Control · Mathematics 2024-07-08 Yibo Wang , Keyou You , Dexian Huang , Chao Shang

This paper considers an optimal impulse control problem of dynamical systems generated by a flow. The performance criteria are total costs over the infinite time horizon. Apart from the main performance to be minimized, there are multiple…

Optimization and Control · Mathematics 2020-10-27 Alexey Piunovskiy , Yi Zhang

This manuscript discusses a scalable controller synthesis method for networked systems with a large number of identical subsystems based on the H-infinity control framework. The dynamics of the individual subsystems are described by…

Optimization and Control · Mathematics 2020-09-10 Pieter Appeltans , Wim Michiels