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Reciprocity is a fundamental symmetry property observed across many physical domains, including acoustics, elasticity, electromagnetics, and thermodynamics. In systems and control theory, it provides key insights into the internal structure…

最优化与控制 · 数学 2025-11-11 Brayan M. Shali , Rodolphe Sepulchre

For general time-varying or switched (nonlinear) systems, converse Lyapunov theorems for stability are not available. In these cases, the integral input-to-state stability (iISS) property is not equivalent to the existence of an…

系统与控制 · 电气工程与系统科学 2019-07-29 Hernan Haimovich , Jose L. Mancilla-Aguilar , Paula Cardone

In this paper we deal with infinite-dimensional nonlinear forward complete dynamical systems which are subject to external disturbances. We first extend the well-known Datko lemma to the framework of the considered class of systems. Thanks…

最优化与控制 · 数学 2020-02-18 Ihab Haidar , Yacine Chitour , Paolo Mason , Mario Sigalotti

This paper considers the robustness of an uncertain nonlinear system along a finite-horizon trajectory. The uncertain system is modeled as a connection of a nonlinear system and a perturbation. The analysis relies on three ingredients.…

系统与控制 · 电气工程与系统科学 2025-08-05 Peter Seiler , Raghu Venkataraman

The present work provides two alternatives to formulate time-discounted incremental input/output-to-state stability (i-IOSS) as a suitable detectability notion for general nonlinear systems with non-additive disturbances. Both formulations…

系统与控制 · 电气工程与系统科学 2020-05-01 Sven Knuefer , Matthias A. Mueller

In biological and engineering systems, structure, function and dynamics are highly coupled. Such interactions can be naturally and compactly captured via tensor based state space dynamic representations. However, such representations are…

最优化与控制 · 数学 2019-12-30 Can Chen , Amit Surana , Anthony Bloch , Indika Rajapakse

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

最优化与控制 · 数学 2019-06-05 Elyar Zavary , Mahdi Sojoodi

Frequency domain analysis of linear time-invariant (LTI) systems in feedback with static nonlinearities is a classical and fruitful topic of nonlinear systems theory. We generalize this approach beyond equilibrium stability analysis with…

系统与控制 · 计算机科学 2017-10-05 F. A. Miranda-Villatoro , F. Forni , R. Sepulchre

We provide a Lyapunov-function-based method for establishing different types of uniform input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to impulsive systems with inputs the well-established…

系统与控制 · 计算机科学 2020-08-14 Jose L. Mancilla-Aguilar , Hernan Haimovich

Unlike for Linear Time-Invariant (LTI) systems, for nonlinear systems, there exists no general framework for systematic convex controller design which incorporates performance shaping. The Linear Parameter-Varying (LPV) framework sought to…

系统与控制 · 电气工程与系统科学 2022-02-09 Patrick J. W. Koelewijn , Roland Tóth , Siep Weiland

When the state of a system may remain bounded even if both the input amplitude and energy are unbounded, then the state bounds given by the standard input-to-state stability (ISS) and integral-ISS (iISS) properties may provide no useful…

系统与控制 · 电气工程与系统科学 2025-06-02 Hernan Haimovich , Shenyu Liu , Antonio Russo , Jose L. Mancilla-Aguilar

In this note, a novel methodology that can extract a number of analysis results for linear time-invariant systems (LTI) given only a single trajectory of the considered system is proposed. The superiority of the proposed technique relies on…

系统与控制 · 电气工程与系统科学 2021-09-22 Hassan Abdelraouf , Fahad Albalawi , Eric Feron

This paper introduces a framework for analyzing a general class of uncertain nonlinear discrete-time systems with given state-, control-, and disturbance constraints. In particular, we propose a set-theoretic generalization of the concept…

最优化与控制 · 数学 2020-04-08 Mario Eduardo Villanueva , Elena De Lazzari , Matthias Müller , Boris Houska

In this paper, the notion of robust strict QSR-dissipativity is applied to solve the static output feedback control problem for a class of continuous-time nonlinear rational systems subject to input saturation and bounded parametric…

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…

系统与控制 · 计算机科学 2015-09-07 Kwang-Ki K. Kim , Richard D. Braatz

This paper investigates a new method for consensus in a group of nonlinear complex multi-agent systems using fixed-order non-fragile dynamic output feedback controller, via an LMI approach. The proposed scheme is decentralized in the sense…

最优化与控制 · 数学 2015-01-21 Amir Amini , Ali Azarbahram , Mahdi Sojoodi

In this paper, we consider a nonlinear networked control system (NCS) in which controllers, sensors and actuators are connected via several communication links. In each link, networking effects such as the transmission delay, packet loss,…

系统与控制 · 计算机科学 2015-03-03 Rahim Delavar , Babak Tavassoli , Mohammad Taghi Hamidi Beheshti

The stability analysis of a class of discontinuous discrete-time systems is studied in this paper. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. An equivalent…

系统与控制 · 电气工程与系统科学 2022-08-12 Francesco Ferrante , Giorgio Valmorbida

A hybrid integrator-gain system (HIGS) is a control element that switches between an integrator and a gain, which overcomes some inherent limitations of linear controllers. In this paper, we consider using discrete-time HIGS controllers for…

系统与控制 · 电气工程与系统科学 2024-03-26 Kanghong Shi , Ian R. Petersen

Several results regarding the stability and the stabilization of linear impulsive positive systems under arbitrary, constant, minimum, maximum and range dwell-time are obtained. The proposed stability conditions characterize the pointwise…

最优化与控制 · 数学 2016-11-09 Corentin Briat