Abstract:
We introduce a novel definition of monotonicity, termed “type-K” in honor of Kamke, and study nonlinear type-K monotone dynamical systems possessing the plus-subhomogenei...Show MoreMetadata
Abstract:
We introduce a novel definition of monotonicity, termed “type-K” in honor of Kamke, and study nonlinear type-K monotone dynamical systems possessing the plus-subhomogeneity property, which we call “K-subtopical” systems after Gunawardena and Keane. We show that type-K monotonicity, which is weaker than strong monotonicity, is also equivalent to monotonicity for smooth systems evolving in continuous-time but not in discrete-time. K-subtopical systems are proved to converge toward equilibrium points, if any exists, generalizing the result of Angeli and Sontag about the convergence of topical systems' trajectories toward the unique equilibrium point when strong monotonicity is considered. The theory provides a new methodology to study the consensus problem in nonlinear multiagent systems (MASs). Necessary and sufficient conditions on the local interaction rule of the agents ensuring the K-subtopicality of MASs are provided, and the consensus is proven to be achieved asymptotically by the agents under given connectivity assumptions on directed graphs. Examples of continuous-time and discrete-time corroborate the relevance of our results in different applications.
Published in: IEEE Transactions on Automatic Control ( Volume: 68, Issue: 12, December 2023)
Funding Agency:
DIEE, University of Cagliari, Cagliari, Italy
Diego Deplano (Member, IEEE) received the B.S., M.S., and Ph.D. degrees (cum laude) in electronic engineering in 2015, 2017, and 2021, respectively, from the University of Cagliari, Cagliari, Italy, where he is currently an Assistant Professor in Automatic Control with the Department of Electrical and Electronic Engineering. He received the 2021 SIDRA Doctoral Award by the Italian Society of Professors and Researchers in ...Show More
Diego Deplano (Member, IEEE) received the B.S., M.S., and Ph.D. degrees (cum laude) in electronic engineering in 2015, 2017, and 2021, respectively, from the University of Cagliari, Cagliari, Italy, where he is currently an Assistant Professor in Automatic Control with the Department of Electrical and Electronic Engineering. He received the 2021 SIDRA Doctoral Award by the Italian Society of Professors and Researchers in ...View more
DIEE, University of Cagliari, Cagliari, Italy
Mauro Franceschelli (Senior Member, IEEE) received the Laurea degree in electronic engineering (cum laude) and the Ph.D. degree in electronic and computer engineering from the University of Cagliari, Cagliari, Italy, in 2007 and 2011, respectively.
He is currently an Associate Professor with the Department of Electrical and Electronic Engineering, University of Cagliari. He spent visiting periods with the Georgia Institute...Show More
Mauro Franceschelli (Senior Member, IEEE) received the Laurea degree in electronic engineering (cum laude) and the Ph.D. degree in electronic and computer engineering from the University of Cagliari, Cagliari, Italy, in 2007 and 2011, respectively.
He is currently an Associate Professor with the Department of Electrical and Electronic Engineering, University of Cagliari. He spent visiting periods with the Georgia Institute...View more
DIEE, University of Cagliari, Cagliari, Italy
Alessandro Giua (Fellow, IEEE) received the Laurea degree in electrical engineering from the University of Cagliari, Cagliari, Italy, in 1988, and the master's and Ph.D. degrees in computer and systems engineering from Rensselaer Polytechnic Institute, Troy, NY, USA, in 1990 and 1992, respectively.
He is currently a Professor of Automatic Control with the Department of Electrical and Electronic Engineering, University of C...Show More
Alessandro Giua (Fellow, IEEE) received the Laurea degree in electrical engineering from the University of Cagliari, Cagliari, Italy, in 1988, and the master's and Ph.D. degrees in computer and systems engineering from Rensselaer Polytechnic Institute, Troy, NY, USA, in 1990 and 1992, respectively.
He is currently a Professor of Automatic Control with the Department of Electrical and Electronic Engineering, University of C...View more
Contents DIEE, University of Cagliari, Cagliari, Italy
Diego Deplano (Member, IEEE) received the B.S., M.S., and Ph.D. degrees (cum laude) in electronic engineering in 2015, 2017, and 2021, respectively, from the University of Cagliari, Cagliari, Italy, where he is currently an Assistant Professor in Automatic Control with the Department of Electrical and Electronic Engineering. He received the 2021 SIDRA Doctoral Award by the Italian Society of Professors and Researchers in Automatic Control.
He spent visiting periods with Nanyang Technological University (NTU), Singapore, the Centre National de la Recherche Scientifique (CNRS), Grenoble, France, and the University of Toronto (UofT), Toronto, Canada. His research interests include nonlinear multiagent systems, consensus problems, distributed estimation, positive systems, and mobile robotics.
Diego Deplano (Member, IEEE) received the B.S., M.S., and Ph.D. degrees (cum laude) in electronic engineering in 2015, 2017, and 2021, respectively, from the University of Cagliari, Cagliari, Italy, where he is currently an Assistant Professor in Automatic Control with the Department of Electrical and Electronic Engineering. He received the 2021 SIDRA Doctoral Award by the Italian Society of Professors and Researchers in Automatic Control.
He spent visiting periods with Nanyang Technological University (NTU), Singapore, the Centre National de la Recherche Scientifique (CNRS), Grenoble, France, and the University of Toronto (UofT), Toronto, Canada. His research interests include nonlinear multiagent systems, consensus problems, distributed estimation, positive systems, and mobile robotics.View more
DIEE, University of Cagliari, Cagliari, Italy
Mauro Franceschelli (Senior Member, IEEE) received the Laurea degree in electronic engineering (cum laude) and the Ph.D. degree in electronic and computer engineering from the University of Cagliari, Cagliari, Italy, in 2007 and 2011, respectively.
He is currently an Associate Professor with the Department of Electrical and Electronic Engineering, University of Cagliari. He spent visiting periods with the Georgia Institute of Technology (GaTech) and the University of California at Santa Barbara (UCSB), USA. His research interests include consensus problems, gossip algorithms, multiagent systems, multirobot systems, nonsmooth analysis, distributed optimization, and electric demand-side management.
Dr. Franceschelli received a fellowship from the National Natural Science Foundation of China (NSFC), Xidian University, Xi'an, China, in 2013. In 2015, he was awarded the position of Assistant Professor (RTD-A) funded by the Italian Ministry of Education, University and Research (MIUR), under the 2014 call “Scientific Independence of Young Researchers” (SIR). He has been a member of the Conference Editorial Board for the IEEE Control Systems Society since 2019. He is currently an Associate Editor for the IEEE Conference on Automation Science and Engineering, the IEEE American Control Conference, and the IEEE Conference on Decision and Control. He is also an Associate Editor for the IEEE Transactions on Automation Science and Engineering and IFAC Nonlinear Analysis: Hybrid Systems. He is the Officer (Secretary) for the IEEE Italy Section Chapter of the IEEE Control Systems Society.
Mauro Franceschelli (Senior Member, IEEE) received the Laurea degree in electronic engineering (cum laude) and the Ph.D. degree in electronic and computer engineering from the University of Cagliari, Cagliari, Italy, in 2007 and 2011, respectively.
He is currently an Associate Professor with the Department of Electrical and Electronic Engineering, University of Cagliari. He spent visiting periods with the Georgia Institute of Technology (GaTech) and the University of California at Santa Barbara (UCSB), USA. His research interests include consensus problems, gossip algorithms, multiagent systems, multirobot systems, nonsmooth analysis, distributed optimization, and electric demand-side management.
Dr. Franceschelli received a fellowship from the National Natural Science Foundation of China (NSFC), Xidian University, Xi'an, China, in 2013. In 2015, he was awarded the position of Assistant Professor (RTD-A) funded by the Italian Ministry of Education, University and Research (MIUR), under the 2014 call “Scientific Independence of Young Researchers” (SIR). He has been a member of the Conference Editorial Board for the IEEE Control Systems Society since 2019. He is currently an Associate Editor for the IEEE Conference on Automation Science and Engineering, the IEEE American Control Conference, and the IEEE Conference on Decision and Control. He is also an Associate Editor for the IEEE Transactions on Automation Science and Engineering and IFAC Nonlinear Analysis: Hybrid Systems. He is the Officer (Secretary) for the IEEE Italy Section Chapter of the IEEE Control Systems Society.View more
DIEE, University of Cagliari, Cagliari, Italy
Alessandro Giua (Fellow, IEEE) received the Laurea degree in electrical engineering from the University of Cagliari, Cagliari, Italy, in 1988, and the master's and Ph.D. degrees in computer and systems engineering from Rensselaer Polytechnic Institute, Troy, NY, USA, in 1990 and 1992, respectively.
He is currently a Professor of Automatic Control with the Department of Electrical and Electronic Engineering, University of Cagliari. He has also held faculty or visiting positions in several institutions worldwide, including Aix-Marseille University, France, and Xidian University, Xi'an, China. He has authored or coauthored 2 books and more than 300 papers in international journals and conferences on the topics of his research interests, which include discrete event systems, hybrid systems, networked control systems, Petri nets, and failure diagnosis, and has often been invited to give plenary talks or keynotes.
Dr. Giua has been a Principal Investigator and a Group Leader for several projects, financed by the European Union, the Italian state, and other organizations. He is a Member of the IEEE Control Systems Society, where he has served as the Vice-President for Conference Activities during 2020–2021, the General Chair of the 55th Conference on Decision and Control, in 2016, and a member of the Board of Governors from 2013 to 2015. He is an affiliate of the International Federation of Automatic Control (IFAC), where he was the Chair of the IFAC Technical Committee 1.3 on Discrete Event and Hybrid Systems from 2008 to 2014. He was the Editor-in-Chief of the IFAC journal Nonlinear Analysis: Hybrid Systems from 2014 to 2022, a Senior Editor of the IEEE Transactions on Automatic Control from 2017 to 2022, and the Department Editor of the journal Discrete Event Dynamic Systems from 2015 to 2020. He is a Fellow of the IFAC for contributions to Discrete Event and Hybrid Systems. He is a recipient of the IFAC Outstanding Service Award and was awarded the People's Republic of China Friendship Award in 2017.
Alessandro Giua (Fellow, IEEE) received the Laurea degree in electrical engineering from the University of Cagliari, Cagliari, Italy, in 1988, and the master's and Ph.D. degrees in computer and systems engineering from Rensselaer Polytechnic Institute, Troy, NY, USA, in 1990 and 1992, respectively.
He is currently a Professor of Automatic Control with the Department of Electrical and Electronic Engineering, University of Cagliari. He has also held faculty or visiting positions in several institutions worldwide, including Aix-Marseille University, France, and Xidian University, Xi'an, China. He has authored or coauthored 2 books and more than 300 papers in international journals and conferences on the topics of his research interests, which include discrete event systems, hybrid systems, networked control systems, Petri nets, and failure diagnosis, and has often been invited to give plenary talks or keynotes.
Dr. Giua has been a Principal Investigator and a Group Leader for several projects, financed by the European Union, the Italian state, and other organizations. He is a Member of the IEEE Control Systems Society, where he has served as the Vice-President for Conference Activities during 2020–2021, the General Chair of the 55th Conference on Decision and Control, in 2016, and a member of the Board of Governors from 2013 to 2015. He is an affiliate of the International Federation of Automatic Control (IFAC), where he was the Chair of the IFAC Technical Committee 1.3 on Discrete Event and Hybrid Systems from 2008 to 2014. He was the Editor-in-Chief of the IFAC journal Nonlinear Analysis: Hybrid Systems from 2014 to 2022, a Senior Editor of the IEEE Transactions on Automatic Control from 2017 to 2022, and the Department Editor of the journal Discrete Event Dynamic Systems from 2015 to 2020. He is a Fellow of the IFAC for contributions to Discrete Event and Hybrid Systems. He is a recipient of the IFAC Outstanding Service Award and was awarded the People's Republic of China Friendship Award in 2017.View more