A New State-Space Representation for Coupled PDEs and Scalable Lyapunov Stability Analysis in the SOS Framework

Keyphrases

• Coupled Partial Differential Equations 100%
• Lyapunov Function 100%
• Partial Differential Equation Systems 100%
• State-space Representation 100%
• New State Spaces 100%
• Lyapunov Stability Analysis 100%
• Matrix Laboratory (MATLAB) 50%
• Stability Analysis 50%
• Conservatism 50%
• Large Classes 50%
• Spatial Variables 50%
• Linear Operator Inequality 50%
• Numerical Test 50%
• Encumbrance 50%
• Solution Existence 50%
• Continuous Solution 50%
• Linear Partial Differential Equations 50%
• Mixed Boundary Conditions 50%
• Hyperbolic-parabolic System 50%
• Neuman Boundary Condition 50%
• Parabolic-elliptic System 50%
• Integration by Parts 50%
• Well-posed Boundary Conditions 50%

Mathematics

• Partial Differential Equation 100%
• Stability Analysis 100%
• Parabolic 50%
• Hyperbolic Systems 50%
• Spatial Variable 50%
• Linear Operator 50%
• Operator Inequality 50%
• Systems Of Partial Differential Equations 50%
• Mixed Boundary Condition 50%
• Systems Analysis 50%
• Linear Partial Differential Equation 50%
• Partial Differential Equation System 50%
• Integration by Part 50%
• Boundary Condition 50%