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In this paper, a method to synthesize controllers using finite time convergence control barrier functions guided by linear temporal logic specifications for continuous time multi-agent dynamical systems is proposed. Finite time convergence…

Systems and Control · Computer Science 2018-08-08 Mohit Srinivasan , Samuel Coogan , Magnus Egerstedt

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

Optimization and Control · Mathematics 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

This paper is a survey of extensions to finite automata theory to model real-time systems as well as systems exhibiting mixed discrete-continuous behavior. Real-time systems maintain a continuous and timely interaction with the environment,…

Formal Languages and Automata Theory · Computer Science 2018-11-27 Lakhan Shiva Kamireddy

In distributed systems with processes that do not share a global clock, \emph{partial synchrony} is achieved by clock synchronization that guarantees bounded clock skew among all applications. Existing solutions for distributed runtime…

Logic in Computer Science · Computer Science 2024-08-12 Borzoo Bonakdarpour , Anik Momtaz , Dejan Ničković , N. Ege Saraç

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…

Systems and Control · Electrical Eng. & Systems 2022-08-12 Francesco Ferrante , Giorgio Valmorbida

A continuous solution is proposed to the problem of uniform global exponential estimation of the angular velocity for rigid bodies by means of direct attitude measurements. The proposed observer is designed on…

Optimization and Control · Mathematics 2016-11-17 Ioannis Sarras

We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting…

Optimization and Control · Mathematics 2007-05-23 Frederic Mazenc , Michael Malisoff , Marcio S. de Queiroz

New methods are developed for the stabilization of a linear system with general time-varying distributed delays existing at the system's states, inputs and outputs. In contrast to most existing literature where the function of time-varying…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Qian Feng , Sing Kiong Nguang , Wilfrid Perruquetti

This paper investigates the finite-time adaptive fuzzy tracking control problem for a class of pure-feedback system with full-state constraints. With the help of Mean-Value Theorem, the pure-feedback nonlinear system is transformed into…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ju Wu , Tong Wang , Min Ma

There are several attitude estimation algorithms in existence, all of which use local coordinate representations for the group of rigid body orientations. All local coordinate representations of the group of orientations have associated…

Optimization and Control · Mathematics 2007-05-23 Amit K. Sanyal

This paper is devoted to the distributed continuous-time optimization problem with time-varying objective functions and time-varying nonlinear inequality constraints. Different from most studied distributed optimization problems with…

Optimization and Control · Mathematics 2020-09-08 Shan Sun , Wei Ren

A new method of virtual unknown parameter is proposed to synchronize two different systems with unknown parameters and disturbance in finite time. Virtual unknown parameters are introduced in order to avoid the unknown parameters from…

Chaotic Dynamics · Physics 2009-09-30 Meili Lin , Zhengzhong Yuan , Jianping Cai

Recent work has introduced the concept of finite-time scaling to characterize bifurcation diagrams at finite times in deterministic discrete dynamical systems, drawing an analogy with finite-size scaling used to study critical behavior in…

Disordered Systems and Neural Networks · Physics 2025-10-31 Daniel A. Martin , Qian-Yuan Tang , Dante R. Chialvo

This paper investigates the fixed-time consensus problem under directed topologies. By using a motion-planning approach, a class of distributed fixed-time algorithms are developed for a multi-agent system with double-integrator dynamics. In…

Systems and Control · Computer Science 2016-06-01 Yongfang Liu , Yu Zhao , Wei Ren , Guanrong Chen

We discuss control of bittide distributed systems, which are designed to provide logical synchronization between networked machines by observing data flow rates between adjacent systems at the physical network layer and controlling local…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Sanjay Lall , Calin Cascaval , Martin Izzard , Tammo Spalink

We study the formation control problem for a group of mobile agents in a plane, in which each agent is modeled as a kinematic point and can only use the local measurements in its local frame. The agents are required to maintain a geometric…

Optimization and Control · Mathematics 2019-09-13 Chen Wang , Shuai Li , Weiguo Xia , Jinan Sun , Guangming Xie

Two types of general nonlinear consensus protocols are considered in this paper, namely the systems with nonlinear measurement and communication of the agents' states, respectively. The solutions of the systems are understood in the sense…

Optimization and Control · Mathematics 2016-04-14 Jieqiang Wei , Xinlei Yi , Henrik Sandberg , Karl Henrik Johansson

In this paper, for any homogeneous system of agents with linear continuous time dynamics, we formulate an optimal control problem. In this problem a convex cost functional of the control signals of the agents shall be minimized, while the…

Optimization and Control · Mathematics 2015-10-16 Johan Thunberg , Xiaoming Hu

This paper addresses the problem of consensus tracking with fixed-time convergence, for leader-follower multi-agent systems with double-integrator dynamics, where only a subset of followers has access to the state of the leader. The control…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Miguel A. Trujillo , Rodrigo Aldana-López , David Gomez Gutierrez , Michael Defoort , Javier Ruiz Leon , Hector M. Becerra

In this paper, a space-time discontinuous Galerkin finite element method for distributed optimal control problems governed by unsteady diffusion-convection-reaction equations with control constraints is studied. Time discretization is…

Optimization and Control · Mathematics 2013-08-09 Tuğba Akman , Bülent Karasözen