Differential dissipativity analysis of reaction–diffusion systems
Copyright policy )Differential dissipativity analysis of reaction–diffusion systems
This note shows how classical tools from linear control theory can be leveraged to provide a global analysis of nonlinear reaction-diffusion models. The approach is differential in nature. It proceeds from classical tools of contraction analysis and recent extensions to differential dissipativity.
8 pages, 5 figures, Submitted to Systems and Control Letters
- University of Cambridge United Kingdom
- THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE United Kingdom
[INFO.INFO-SY] Computer Science [cs]/Systems and Control [cs.SY], Control/observation systems governed by partial differential equations, dominance theory, differential analysis, 4901 Applied Mathematics, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], reaction-diffusion systems, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Systems and Control (eess.SY), Electrical Engineering and Systems Science - Systems and Control, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Mathematics - Analysis of PDEs, Reaction-diffusion equations, 35K57, 93C10, 35A24, 35B40, 49 Mathematical Sciences, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Nonlinear systems in control theory, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering, Frequency-response methods in control theory, spatial homogeneity, Analysis of PDEs (math.AP)
[INFO.INFO-SY] Computer Science [cs]/Systems and Control [cs.SY], Control/observation systems governed by partial differential equations, dominance theory, differential analysis, 4901 Applied Mathematics, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], reaction-diffusion systems, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Systems and Control (eess.SY), Electrical Engineering and Systems Science - Systems and Control, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Mathematics - Analysis of PDEs, Reaction-diffusion equations, 35K57, 93C10, 35A24, 35B40, 49 Mathematical Sciences, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Nonlinear systems in control theory, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering, Frequency-response methods in control theory, spatial homogeneity, Analysis of PDEs (math.AP)
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