Titlebook: Dissipative Systems Analysis and Control; Theory and Applicati Bernard Brogliato,Rogelio Lozano,Olav Egeland Book 2020Latest edition Spring

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https://doi.org/10.1007/978-1-349-27925-8 interconnections of passive, negative imaginary, maximal monotone systems are reviewed. Large-scale systems are briefly treated. Then the conditions under which storage functions are Lyapunov functions are given in detail. Results on stabilization, equivalence to a passive system, input-to-state st

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https://doi.org/10.1007/978-3-030-44590-4cations of dissipativity theory in the stability of adaptive schemes in Chaps. .–.. Direct adaptation means that one has been able to rewrite the fixed parameter input ., in a form that is linear with respect to some unknown parameters, usually written as a vector ., i.e., ., where . is a known matr

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Introduction,derations. Dissipativity is a notion which can be used in many areas of science, and it allows the control engineer to relate a set of efficient mathematical tools to well-known physical phenomena. The insight gained in this way is very useful for a wide range of control problems. In particular, the

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Positive Real Systems,s 1926 Ph.D. thesis [.,.,.,.]. However, the term . has been coined by Otto Brune in his 1931 Ph.D. thesis [., .], building upon the results of Ronald M. Foster [.] (himself inspired by the work in [.], and we stop the genealogy here). O. Brune was in fact the first to provide a precise definition an

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,Kalman–Yakubovich–Popov Lemma, Theory due to its applications in absolute stability, hyperstability, dissipativity, passivity, optimal control, adaptive control, stochastic control, and filtering. Despite its broad field of applications, the lemma has been motivated by a very specific problem which is called the .[., .], and Lur

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Dissipative Systems,or linear and nonlinear dynamical systems. One of the key properties of a dissipative dynamical system is that the total energy stored in the system decreases with time. Dissipativeness can be considered as an extension of PR systems to the nonlinear case. Some relationships between positive real an