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It has been known for some time that proportional output feedback will stabilize MIMO, minimum-phase, linear time-invariant systems if the feedback gain is sufficiently large. High-gain adaptive controllers achieve stability by…

Optimization and Control · Mathematics 2009-01-27 Ian A. Gravagne , John M. Davis , Jeffrey J. DaCunha

The present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive and obtained for a wider class of systems. The presented…

Optimization and Control · Mathematics 2021-05-18 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

This paper is concerned with the design of a distributed cooperative synchronization controller for a class of higher-order nonlinear multi-agent systems. The objective is to achieve synchronization and satisfy a predefined time-based…

Optimization and Control · Mathematics 2022-02-28 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

Solving optimal control problems to determine a stabilizing controller involves a significant computational effort. Time-varying optimal control provides a remedy by designing a tracking system, given as an ordinary differential equation,…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Patrick Schmidt , Stefan Streif

This article proposes a distributed control method for matrix-scaled multi-agent networks aimed at achieving convergence within a user-defined time frame. The control law of each individual agent relies only on information from neighboring…

Systems and Control · Electrical Eng. & Systems 2025-09-23 K. P. Sunny , Rakesh R. Warier

This paper addresses the robust consensus problem under switching topologies. Contrary to existing methods, the proposed approach provides decentralized protocols that achieve consensus for networked multi-agent systems in a predefined…

Optimization and Control · Mathematics 2019-08-02 R. Aldana-López , D. Gómez-Gutiérrez , M. Defoort , J. D. Sánchez-Torres , A. J. Muñoz-Vázquez

Gain tuning is given for the twisting controller to ensure that the closed-loop trajectories of the perturbed double integrator, initialized within a bounded domain and affected by uniformly bounded disturbances, settle at the origin in…

Systems and Control · Electrical Eng. & Systems 2020-12-04 Ramón I. Verdés Kairuz , Yury Orlov , Luis T. Aguilar

The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Ariany C. Oliveira , Victor C. S. Campos , Leonardo. A. Mozelli

Fixed-time stable dynamical systems are capable of achieving exact convergence to an equilibrium point within a fixed time that is independent of the initial conditions of the system. This property makes them highly appealing for designing…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Michael Tang , Miroslav Krstic , Jorge Poveda

Achieving control objectives (e.g., stabilization or convergence of tracking error to zero, input-to-state stabilization) in "prescribed time" has attracted significant research interest in recent years. The key property of prescribed-time…

Optimization and Control · Mathematics 2024-05-02 Prashanth Krishnamurthy , Farshad Khorrami , Anthony Tzes

As the main contribution, this document provides a consistent discretization of a class of fixed-time stable systems, namely predefined-time stable systems. In the unperturbed case, the proposed approach allows obtaining not only a…

We propose a dual mode extremum seeking control design technique that achieves real-time optimization of an unknown measured cost function in a prescribed time. The controller is shown to achieve semi-global practical stability of the…

Optimization and Control · Mathematics 2024-05-14 Adam Waterman , Martin Guay , Denis Dochain

Emerging advanced control applications, with increased complexity in software but limited computing resources, suggest that real-time controllers should have adaptable designs. These control strategies also should be designed with…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Seyed Amir Tafrishi , Xiaotian Dai , Yasuhisa Hirata , Alan Burns

A system is called prescribed-time attractive if its solution converges at an arbitrary user-defined finite time. In this note, necessary and sufficient conditions are developed for the prescribed-time attractivity of linear time-varying…

Systems and Control · Electrical Eng. & Systems 2022-02-04 Amir Shakouri

The key challenges in design of predictor-based control laws for switched systems with arbitrary switching and long input delay are the potential unavailability of the future values of the switching signal (at current time) and the fact…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis

If embedded with command filter properly, the implementation of backstepping design could be dramatically simplified. In this paper, we introduce a command filter with time-varying gain and integrate it with backstepping design, resulting…

Systems and Control · Electrical Eng. & Systems 2022-01-11 Hefu Ye , Yongduan Song

The paper is an attempt to generalize a methodology, which is similar to the bounded-input bounded-output method currently widely used for the system stability studies. The presented earlier methodology allows decomposition of input space…

Artificial Intelligence · Computer Science 2007-05-23 Ziny Flikop

This study presents a policy optimisation framework for structured nonlinear control of continuous-time (deterministic) dynamic systems. The proposed approach prescribes a structure for the controller based on relevant scientific knowledge…

Machine Learning · Computer Science 2024-10-28 Namhoon Cho , Hyo-Sang Shin

Motivated by the recent interest in formal methods-based control for dynamic robots, we discuss the applicability of prescribed performance control to nonlinear systems subject to signal temporal logic specifications. Prescribed performance…

Optimization and Control · Mathematics 2017-09-20 Lars Lindemann , Christos K. Verginis , Dimos V. Dimarogonas

We study the temporal robustness of temporal logic specifications and show how to design temporally robust control laws for time-critical control systems. This topic is of particular interest in connected systems and interleaving processes…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Alëna Rodionova , Lars Lindemann , Manfred Morari , George J. Pappas