Titlebook: Networks of Dissipative Systems; Compositional Certif Murat Arcak,Chris Meissen,Andrew Packard Book 2016 The Author(s) 2016 Interconnected

土坯

Case Studies,iochemical reaction network with a cyclic interconnection structure. The second one is a vehicle platoon where the motion of the vehicles is coordinated with relative position feedback. The third one is Internet congestion control with decentralized user and router algorithms. The vehicle platoon an

支架

From Stability to Performance and Safety, dissipativity property for the interconnection, such as a prescribed gain from a disturbance input to a performance output. A storage function for the interconnection is synthesized as a weighted sum of subsystem storage functions and the weights are left as decision variables in a linear matrix in

Bravado

intrigue

Symmetry Reduction,e tests of earlier chapters. We describe symmetries with the graph-theoretic notion of an automorphism, a permutation of the nodes that leaves the graph unchanged. The equivalence classes of nodes that can be reached from one another by an automorphism are called orbits. The main idea in this chapte

索賠

Ovulation

Comparison to Other Input/Output Approaches,this final chapter, we make connections to other input/output approaches that treat dynamical systems as operators mapping inputs to outputs in function spaces. We start with classical input/output techniques, and next relate the dynamic supply rates of Chap.?. to integral quadratic constraints (IQC

泥土謙卑

Brief Review of Dissipativity Theory, systems. This is followed by numerical techniques for certifying dissipativity via semidefinite programming. The final section illustrates the use of dissipativity for reachability and Lyapunov stability analysis.

積習(xí)已深

Case Studies,d congestion control examples exhibit a skew-symmetric coupling structure which means that passivity of the subsystems guarantees network stability. The fourth case study on population dynamics studies interaction structures between multiple species described by cactus graphs.

掙扎

From Stability to Performance and Safety,equality. Next we address the safety problem where the goal is to guarantee that trajectories starting in a prescribed set do not intersect a given unsafe set under a set of admissible disturbances. This time a weighted sum of subsystem storage functions serves as a barrier function for the interconnection.

Graduated

Book 2016g analytical and computational models. On the basis of illustrative case studies, it demonstrates the applicability of theoretical methods to biological networks, vehicle fleets, and Internet congestion control. Rather than tackle the network as a whole —an approach that severely limits the ability