Equilibrium-independent dissipativity (EID) is a recently introduced system property which requires a system to be dissipative with respect to any forced equilibrium configuration. This paper is a detailed examination of EID with quadratic supply rates for a common class of nonlinear control-affine systems. We provide an algebraic characterization of EID for such systems in the spirit of the Hill-Moylan lemma, where the usual stability condition is replaced by an incremental stability condition. Based on this characterization, we state results concerning internal stability, feedback stability, and absolute stability of EID systems. Finally, we study EID for discrete-time systems, providing the relevant definitions and an analogous Hill-Moylan-type characterization. Results for both continuous-time and discrete-time systems are illustrated through examples on physical systems and convex optimization algorithms.
From time series to dissipativity of linear systems with dynamic supply rates
Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen（格罗宁根大学伯努利数学、计算机科学与人工智能研究所）；University of Wisconsin-Madison（威斯康星大学麦迪逊分校）；University of British Columbia（不列颠哥伦比亚大学）
On Structured Lyapunov Functions and Dissipativity in Interconnected LTI Systems
Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb（萨格勒布大学机械与船舶工程学院）；Department of Mathematics, Faculty of Science, University of Zagreb（萨格勒布大学理学院数学系）
Output-Feedback Controller Synthesis for Dissipativity and $H_2$ Performance of Autoregressive Systems from Noisy Input-Output Data
Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb（机械与船舶工程学院，萨格勒布大学）；Electrical Engineering Faculty, Eindhoven University of Technology（电气工程学院，埃因霍温理工大学）
Dynamic Output-Feedback Controller Synthesis for Dissipativity and $H_2$ Performance from Noisy Input-Output Data
Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb（机械与船舶工程学院，萨格勒布大学）；Electrical Engineering Faculty, Eindhoven University of Technology（电气工程学院，埃因霍温理工大学）
Dynamic Output-Feedback Controller Synthesis for Dissipativity and $H_2$ Performance from Noisy Input-State Data
Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb（萨格勒布大学机械与船舶工程学院）；Electrical Engineering Faculty, Eindhoven University of Technology（埃因霍温理工大学电气工程学院）
