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This paper presents a nonlinear integrated guidance and control (IGC) approach for flexible leader-follower formation flight of fixed-wing unmanned aerial vehicles (UAVs) while accounting for high-fidelity aerodynamics and thrust dynamics.…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

We prove a small-gain theorem for interconnections of $n$ nonlinear heterogeneous input-to-state stable (ISS) control systems of a general nature, covering partial, delay and ordinary differential equations. Furthermore, for the same class…

Optimization and Control · Mathematics 2021-01-22 Andrii Mironchenko

A solution to the waypoint navigation problem for fixed wing micro air vehicles (MAV) is addressed in this paper, in the framework of integrated guidance and control (IGC). IGC yields a single step solution to the waypoint navigation…

Robotics · Computer Science 2019-11-05 K Harikumar , Jinraj V. Pushpangathan , Sidhant Dhall , M. Seetharama Bhat

A small-gain approach is proposed to analyze closed-loop stability of linear diffusion-reaction systems under finite-dimensional observer-based state feedback control. For this, the decomposition of the infinite-dimensional system into a…

Systems and Control · Electrical Eng. & Systems 2022-02-14 Lars Grüne , Thomas Meurer

Convergent, contractive or incremental stability properties of nonlinear systems have attracted interest for control tasks such as observer design, output regulation and synchronization. The convergence property plays a central role in the…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Jiayen Chen , Hendra I. Nurdin

This paper presents a systematic method for the design of a limited information shared control (LISC). LISC is used in applications where not all system states or reference trajectories are measurable by the automation. Typical examples are…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Balint Varga , Jairo Inga , Soeren Hohmann

This paper extends the nonlinear ISS small-gain theorem to a large-scale time delay system composed of three or more subsystems. En route to proving this small-gain theorem for systems of differential equations with delays, a small-gain…

Optimization and Control · Mathematics 2009-11-09 Shanaz Tiwari , Yuan Wang , Zhong-Ping Jiang

This paper presents a unification and a generalization of the small-gain theory subsuming a wide range of existing small-gain theorems. In particular, we introduce small-gain conditions that are necessary and sufficient to ensure…

Optimization and Control · Mathematics 2017-08-22 Navid Noroozi , Roman Geiselhart , Lars Grüne , Björn S. Rüffer , Fabian R. Wirth

The small gain condition is sufficient for input-to-state stability (ISS) of interconnected systems. However, verification of the small gain condition requires large amount of computations in the case of a large size of the system. To…

Dynamical Systems · Mathematics 2012-06-29 S. Dashkovskiy , M. Kosmykov

This paper develops a guidance law for nonlinear interception using input-output feedback linearization (IOL). The engagement between a pursuer and an evader is modeled using point-mass dynamics, and a baseline IOL-based guidance law is…

Systems and Control · Electrical Eng. & Systems 2026-05-06 Alexander Dorsey , Ankit Goel

A Small-Gain Theorem, which can be applied to a wide class of systems that includes systems satisfying the weak semigroup property, is presented in the present work. The result generalizes all existing results in the literature and exploits…

Optimization and Control · Mathematics 2007-05-23 Iasson Karafyllis , Zhong-Ping Jiang

This paper provides a Lyapunov-based small-gain theorem for input-to-state stability (ISS) of networks composed of infinitely many finite-dimensional systems. We model these networks on infinite-dimensional $\ell_{\infty}$-type spaces. A…

Optimization and Control · Mathematics 2021-03-15 Andrii Mironchenko , Navid Noroozi , Christoph Kawan , Majid Zamani

We present a model-based globally convergent policy gradient method (PGM) for linear quadratic Gaussian (LQG) control. Firstly, we establish equivalence between optimizing dynamic output feedback controllers and designing a static feedback…

Optimization and Control · Mathematics 2024-02-27 Tomonori Sadamoto , Fumiya Nakamata

Since the concept of input-to-state stability (ISS) was introduced, it has been extensively investigated for finite-dimensional control systems and has recently received attention for infinite-dimensional systems. While numerical techniques…

Optimization and Control · Mathematics 2026-03-03 Birgit Hillebrecht , Benjamin Unger

Input-to-state stability (ISS) unifies global asymptotic stability with respect to variations of initial conditions with robustness with respect to external disturbances. First, we present Lyapunov characterizations for input-to-state…

Optimization and Control · Mathematics 2024-06-27 Andrii Mironchenko

In this paper ISS small-gain theorems for discrete-time systems are stated, which do not require input-to-state stability (ISS) of each subsystem. This approach weakens conservatism in ISS small-gain theory, and for the class of…

Dynamical Systems · Mathematics 2015-11-25 Roman Geiselhart , Fabian R. Wirth

We develop a Lyapunov-based small-gain theorem for establishing fixed-time input-to-state stability (FxT-ISS) guarantees in interconnected nonlinear dynamical systems. The proposed framework considers interconnections in which each…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Michael Tang , Miroslav Krstic , Jorge Poveda

Precise motion control of underactuated surface vessels is a crucial task in various maritime applications. In this work, we develop a nonlinear motion control strategy for surface vessels inspired by the pursuit guidance philosophy. Any…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Ram Milan Kumar Verma , Shashi Ranjan Kumar , Hemendra Arya

We introduce a hybrid control system called a hybrid integrator-gain system (HIGS) based integral resonant controller (IRC) to stabilize negative imaginary (NI) systems. A HIGS-based IRC has a similar structure to an IRC, with the…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Kanghong Shi , Ian R. Petersen

Almost-global orientation trajectory tracking for a rigid body with external actuation has been well studied in the literature, and in the geometric setting as well. The tracking control law relies on the fact that a rigid body is a simple…

Systems and Control · Computer Science 2017-03-27 Aradhana Nayak , Ravi N. Banavar
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