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The objective is to design output feedback event-triggered controllers to stabilize a class of nonlinear systems. One of the main difficulties of the problem is to ensure the existence of a minimum amount of time between two consecutive…

Systems and Control · Computer Science 2014-08-26 Mahmoud Abdelrahim , Romain Postoyan , Jamal Daafouz , Dragan Nešić

This paper focuses on the stabilization and regulation of linear systems affected by quantization in state-transition data and actuated input. The observed data are composed of tuples of current state, input, and the next state's interval…

Optimization and Control · Mathematics 2023-09-26 Jared Miller , Jian Zheng , Mario Sznaier , Chris Hixenbaugh

In this paper we present a method for designing a linear time invariant (LTI) state-feedback controller to monotonically track a constant step reference at any desired rate of convergence for any initial condition. Necessary and sufficient…

Optimization and Control · Mathematics 2014-12-08 Lorenzo Ntogramatzidis , Jean-Francois Tregouet , Robert Schmid , Augusto Ferrante

This paper studies quantized control for discrete-time piecewise affine systems. For given stabilizing feedback controllers, we propose an encoding strategy for local stability. If the quantized state is near the boundaries of quantization…

Systems and Control · Computer Science 2015-09-07 Masashi Wakaiki , Yutaka Yamamoto

Linear time-translation-invariant (LTI) models offer simple, yet powerful, abstractions of complex classical dynamical systems. Quantum versions of such models have so far relied on assumptions of Markovianity or an internal state-space…

Quantum Physics · Physics 2024-10-16 Jacques Ding , Hudson A. Loughlin , Vivishek Sudhir

In this paper we present a method for designing a linear time invariant (LTI) state-feedback controller to monotonically track a constant step reference at any desired rate of convergence for any arbitrarily assigned initial condition.…

Optimization and Control · Mathematics 2014-02-24 Lorenzo Ntogramatzidis , Jean-Francois Tregouet , Robert Schmid

This paper addresses the problem of designing an optimal output feedback controller with a specified controller structure for linear time-invariant (LTI) systems to maximize the passivity level for the closed-loop system, in both…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Lanlan Su , Vijay Gupta , Panos Antsaklis

In this paper, we present necessary and sufficient conditions under which a linear time-invariant (LTI) system is state feedback equivalent to a negative imaginary (NI) system. More precisely, we show that a minimal LTI strictly proper…

Systems and Control · Electrical Eng. & Systems 2021-09-24 Kanghong Shi , Ian R. Petersen , Igor G. Vladimirov

Linear time invariant (LTI) systems are widely used for modeling system dynamics in science and engineering problems. Harmonic oscillation of LTI systems are widely used for modeling and analyses of periodic physical phenomenon. This study…

Discrete Mathematics · Computer Science 2014-03-17 B. Baykant Alagoz

This paper addresses the problem of robust dynamic output stabilization of FO-LTI interval systems with the fractional order 0<{\alpha}<2, in terms of linear matrix inequalities (LMIs). Our purpose is to design a robust dynamic output…

Systems and Control · Computer Science 2018-07-31 Pouya Badri , Mahdi Sojoodi

In this paper, we discuss various topological and metrical aspects of the set of stabilizing static feedback gains for multiple-input-multiple-output (MIMO) linear-time-invariant (LTI) systems, in both continuous and discrete-time.…

Systems and Control · Computer Science 2019-04-08 Jingjing Bu , Afshin Mesbahi , Mehran Mesbahi

Stability and stabilization analysis of fractional-order linear time-invariant (FO-LTI) systems with different derivative orders is studied in this paper. First, by using an appropriate linear matrix function, a single-order equivalent…

Systems and Control · Computer Science 2018-08-30 Pouya Badri , Mahdi Sojoodi

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly…

Optimization and Control · Mathematics 2009-10-19 Billy J. Jackson , John M. Davis , Ian A. Gravagne , Robert J. Marks

In this paper, the feedback stabilization of a linear time-invariant (LTI) multiple-input multiple-output (MIMO) system cascaded by a linear stochastic system is studied in the mean-square sense. Here, the linear stochastic system can model…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Junhui Li , Jieying Lu , Weizhou Su

We investigate the stability conditions for remote state estimation of multiple linear time-invariant (LTI) systems over multiple wireless time-varying communication channels. We answer the following open problem: what is the fundamental…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Wanchun Liu , Daniel E. Quevedo , Karl H. Johansson , Branka Vucetic , Yonghui Li

The stabilization of nonlinear systems under zero-state-detectability assumption or its analogues is considered. The proposed supervisory control provides a finite time practical stabilization of output and it is based on uniting local and…

Optimization and Control · Mathematics 2013-04-16 Denis Efimov , Alexander L. Fradkov

We develop a switched nonlinear predictor-feedback control law to achieve global asymptotic stabilization for nonlinear systems with arbitrarily long input delay, under state quantization. The proposed design generalizes the nonlinear…

Optimization and Control · Mathematics 2025-01-27 Florent Koudohode , Nikolaos Bekiaris-Liberis

We propose a procedure to design a state-quantizer with finitely many bins for a marginally stable stochastic linear system evolving in $\R^d$, and a bounded policy based on the resulting quantized state measurements to ensure bounded…

Optimization and Control · Mathematics 2011-04-21 Debasish Chatterjee , Peter Hokayem , Federico Ramponi , John Lygeros

Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous right-hand side differential equation, Krasovskii solutions…

Optimization and Control · Mathematics 2021-12-21 Francesco Ferrante , Frédéric Gouaisbaut , Sophie Tarbouriech